#geometry-and-trigonometry

1 messages · Page 4 of 1

silent plank
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right angle isn't needed for what's being asked and shouldn't be assumed

smoky jetty
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ohh interesting, do u think the problem is doable?

silent plank
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using a reasonable assumption, yes

smoky jetty
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what could a reasonable assumption be?

silent plank
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assume which sides are corresponding based on which sides look longer

smoky jetty
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but are the two triangles' angle values supposed to be similar? I've never heard of similar pair of triangles before

silent plank
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you've never heard of similar triangles before?

smoky jetty
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yeah

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whats its basic concept?

silent plank
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all angles the same
corresponding sides in same ratio

smoky jetty
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corresponding sides? only learned that in geometry a week ago, but it wasnt about triangles. googling it a bit

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oh i get it

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pretty much the same with parallel line cut by transversal thingy, in terms of concept

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do u know how to work it out?

silent plank
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yes

smoky jetty
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can u show how? like the not so exact explanation of steps only

silent plank
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corresponding sides in same ratio

smoky jetty
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might try this tomorrow, thx

errant pulsar
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hello, this was asked by someone else but i’ve been wondering how to go about solving it.

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it is given that DA is parallel to BC and EA parallel to DB and N, M midpoints of ED and DC, then show that the red area is equal to the blue area

upper karma
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^ Sherman Line (A triangle having 4 sides? nah! well, actually yes!!!)

brittle rivet
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Anyone have some ideas or tricks to memorize the unit circle? I have to be able to fill this out from a blank circle. Thanks.

still dagger
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To remember the first quarter you have three values to remember. The sine will be increasing will the cosine will be decreasing

sly raptor
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The way I remember the unit circle is that sqrt(3)/2 is larger than 1/2 and then I can always deduce that, because pi/3 has a larger y than x, it has to have (1/2, sqrt(3)/2) as its coordinates.

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And just remember any pi/4 is sqrt(2)/2

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Also keep in mind quadrants

brittle rivet
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Yes I understand that. Where I get messed up on is how they get from say pi/6 to 5pi/6. I forget where they are counting from

sly raptor
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Ah

brittle rivet
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Oh wait it's a 30 degree angle so it's every 30 degrees right?

sly raptor
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I like to change it to degrees and then find the quadrant, and then specify the angle for myself

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So 30*5 = 150

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Yep

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So I know it's 30 below 180, which means lower y than x

brittle rivet
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Light bulb moment 💡

sly raptor
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Nice!

brittle rivet
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Ty ty

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I made a ton of copies and I'm trying to fill it out from blank haha

sly raptor
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Np, good luck with your unit circle adventures

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Not a bad idea

brittle rivet
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I'm getting better. Thank you for the sage advice sir

smoky jetty
heavy mango
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I have a question: How do I solve a trigonometric function with a constant inside it? I'm referring to this. f(x)=2tan(4x-32)

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If I plug in pi/4, for example, how would I solve 2tan(pi-32)?

smoky jetty
# brittle rivet Anyone have some ideas or tricks to memorize the unit circle? I have to be able ...

in the first quadrant, there are 3 angle values that are part of a special right triangle case, so the sine values of those can be found using the Pythagorean theorem. Then on the 2nd quadrant, find the sine function of angles between 0 degrees to 360 degrees. First, you'll get their reference angles (wherein in Q2, Theta _R = 180 - theta, Q3 Theta_R = theta - 180, Q4 Theta_R = 360 - theta) and from there on, you'd have special angles again, which are part of a special triangle case, thus giving u identical values ( TAKE NOTE of the negative values). Then for those sine values lying at the quadrants, you'll be finding quadrantal angles, where r = 1. Find those using the Pythagorean theorem. For the radian measurement, u can just convert degrees measure using theta*(pi/180)

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so in conclusion, I'm pretty sure u can find those sine values using formulas to find reference angles (for angles between 0-360 degrees which in your case, for angles in Q2-Q4), quadrantal angles, and the Pythagorean theorem.

errant pulsar
austere hearth
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g(x) = 2 − 6 · cos2
(x) − 2 · cos(x) · tan(x)
someone help please

dark sparrow
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bad copypaste + no problem statement

austere hearth
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sowy me dum

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solve for x g(x) = 2 − 6 · cos2
(x) − 2 · cos(x) · tan(x)

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and about the coypaste nothing can be done

dark sparrow
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yeah it can

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you can post a screenshot instead

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be sure to include all instructions to go with this

austere hearth
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too lazy need to do other work . forgive ?

dark sparrow
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well sure but if you're too lazy to post your problem here you won't get any help for it

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so if youre ok with that then ¯_(ツ)_/¯

austere hearth
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booo

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At which points do the functions intersect the coordinate axes?

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@dark sparrow good 🙂

dark sparrow
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so, do you want to get help with this problem or do you just want someone to do it for you

austere hearth
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help or step by step solutions

dark sparrow
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it's just that "too lazy need to do other work" makes me think you wouldn't want to cooperate on being taken through this problem...

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anyway

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you want to find the intersections of the (graph of) this function with the coordinate axes.

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i.e. you want to find its x-intercept(s) and y-intercept.

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do you understand what this means?

dark sparrow
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ok

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do you understand what you need to do to find the y-intercept?

austere hearth
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x=0

dark sparrow
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"I need to set x to 0, or in other words I need to evaluate g(0) to get the coordinate of the y-intercept."

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ok

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are you able to do this on your own?

austere hearth
dark sparrow
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alright

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do you understand what you need to do to find the x-intercept?

austere hearth
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but aint workin

dark sparrow
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in what way is it not working exactly?

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is it:
(a) you tried to solve the equation g(x)=0 but got stuck along the way,
(b) you solved the equation g(x)=0 but couldn't figure out how to write down the answer, or
(c) you solved the equation g(x)=0 and got an answer, but your homework system rejects it?

austere hearth
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b

dark sparrow
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ok, show your work so we can take a look.

austere hearth
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nevermind me dum

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i forget the minus

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thx u though appreciate ur help sorry for waisting time

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@dark sparrow

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but then when i solve i only get the t=1 and t =-2/3

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so pi/2 and -pi/2 plus 2kpi

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but for the t=-2/3 idk

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its -41,40

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not matching the answer

dark sparrow
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,w 3sin^2(x) - sin(x) - 2 = 0

austere hearth
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and we dont have a interval so i put nr in it for k or n in this example

dark sparrow
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who's "he"

austere hearth
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he teacher

dark sparrow
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can you show the teacher's answer

austere hearth
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its only the answer without the method

dark sparrow
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i think it might be some sort of radian vs degree issue

viscid trellis
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Hello

dark sparrow
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,calc sin(5.55)

somber coyoteBOT
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Result:

-0.66923985727626
dark sparrow
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ok yeah your teacher just put things in radians

austere hearth
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ok me very dumm

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thank u

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thank u very kind of u

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wish u a lovely day

zealous pivot
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How is this not a contradiction? The perimeter is 700+223+400+282=1605, while XY=953 ??

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I'm suspecting the circles ought to be centered at the midpoints of AD and BC, respectively. But the statement does not indicate that.

dark sparrow
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these circles need to have diameters AD and BC as in those actual segments need to be their diameters

zealous pivot
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yeah makes sense

zealous pivot
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This is not too worrying, but is there a keyboard shorcut to start writing on the input bar of geogebra (instead of having to move the mouse and click on the input bar)? I tried searching but didn't find anything, idk if anyone knows.

smoky beacon
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What does orthogonal unit vector mean

flat ivy
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At right angles

pliant roost
# flat ivy At right angles

if I remember correctly, orthogonal unit vectors are the vectors that satisfy the following properties:

  1. They are all linearly independent
  2. They are perpendicular to each other in the respective planes
  3. They have unit length (obviously)
flat ivy
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Yep

flat plinth
pallid quest
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Does anyone have any tricks for tangent inverses? Because im struggling to recognize which points fit

zealous pivot
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Let ABC be a triangle, let N lie on the side BC such that AN is twice as long as CM, where M is the midpoint of AB. We also have that the angle ANC is 45 degrees. Prove that AN is perpendicular to CM.

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Couldn't solve this 😦 Help is appreciated

zealous pivot
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oh lmao

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I write that wrong

zealous pivot
teal oriole
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when it comes to trig functions, if you have like
cos beinf 6/10 do u write it as 6/10 or simplify it to 3/5?

polar path
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as 6/10 🙂

teal oriole
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thank u!!

upper karma
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doies anyone here use geogebra? please ping me i need help asap figuring out how to do area

upper karma
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It was just a fun paper I found.

zealous pivot
slate mauve
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how do i prove this using a column proof (statement and reasoning)

pliant roost
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w + x + a = 180° and z + y + a = 180°, then the proof easily follows

sullen kettle
# slate mauve how do i prove this using a column proof (statement and reasoning)

There’s a pair of parallel lines in there, and x=z and w=y because these two pairs of angles are corresponding angles. https://en.wikipedia.org/wiki/Transversal_(geometry)#Corresponding_angles

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel. The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecu...

sullen kettle
pliant roost
sullen kettle
hollow gazelle
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need help with this

heavy shale
hollow gazelle
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i dont know anything about this lesson

heavy shale
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Axis of symmetry is the line which divides the parabola symmetrically

heavy shale
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where is the first one opening

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up or down

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coordinate of vertex is the point where the graph turns

wet sapphire
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sry caps

heavy shale
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y-intercept is point where parabola intersects y-axis

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and x-intercept is the same thing as y-intercept but for x axis

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idk about domain and range

hollow gazelle
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it depends on this whether i take summer class or nah

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lmao

wet sapphire
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the work that your doing

hollow gazelle
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uhm idk yep thats how bad i am at math

wet sapphire
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lol

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you can add me and ask anytime if you need help

past phoenix
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hey anyone need help in finding area of triangle

red jetty
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i do not know what you mean by this lol

heavy vigil
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if its general, just use Herons formula

copper spade
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how can i prove this one?

heavy mango
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Hi, how do I solve 2tan(pi-32)? What do I do if there's a constant inside tan(x), like the number 32 in this case?

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Can someone help?

zealous furnace
grave pond
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What an utterly, totally inane problem.

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It makes no sense, but the best you can do is pattern-match the wording and replace the so-defined word sequences by "p" and "q".

simple swift
upper karma
proper bridge
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could somebody pls help me with this problem?

craggy monolith
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help its literally 12am and this is due literally at 3am and my brain stopped working

proper bridge
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sin(x)=8/10=4/5

upper karma
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i remember faintly from years ago

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that the small base

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equals the big base over 2

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so AB = 2CD = 6

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forgot the rule of AD tho

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oh a trapezoid

tribal ore
loud talon
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x=26.5?

tribal ore
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Already solved it a bit ago that isn't the right answer but thank you anyways

loud talon
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I know, just solving for fun. Also, I am in a geometry class

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so practice

dark sparrow
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@loud talon don't give out answers in the future

loud talon
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ok, sorry. Did not know that I shouldn't give out answers. Should I use /spoiler next time, or just don't give out at all?

dark sparrow
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just don't give out at all

ruby fulcrum
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wait wrong place

upper karma
upper karma
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But I understand what you are saying. And @loud talon What method did you use to obtain those answers?

young otter
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Do any of y’all know how to do this

foggy crypt
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Draw a diagram.

foggy crypt
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You will need to understand the definition of vertical angles.

terse meteor
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Is this right

glacial mural
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Hi is anyone available to help me with a project regarding geometry? I really need help and would mean alot ty

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Please dm if you can.

glacial mural
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Mb

grave pond
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Do you really read that fast?

glacial mural
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Im doing a project to show how geometry can be applied irl and i chose architecture

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What i have done so far and im not sure whether its relevant and my math is not very good 😔

grave pond
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I doubt that. It makes your "sorry" sound rather insincere when it comes only a few seconds after I send you a link to a long text that explain what you're doing wrong.

glacial mural
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I dont really socialise much so please forgive me.

glacial mural
grave pond
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Well, it's just advice.

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If you would really rather not get any help than reveal what you're planning to ask until someone commits to answering your question sight unseen, then go right ahead

olive hatch
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I have an object that has the height of 30cm and a diameter of 50cm. Using this information, how can I work out what the length and width of the item is?

grave pond
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Is your object a cylinder? Otherwise it is not clear exactly what "diameter" means.

olive hatch
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Is this question impossible to answer if you don't know what object it is?

grave pond
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Yes. We need to know that the object has a shape where the word "diameter" makes sense..

olive hatch
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No worries, can I post images here?

grave pond
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If we know that the object is box-shaped, we can get a little further, but still the most we get is that W² + L² = (40 cm)², which has many different solutions.

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You should be able to post images, yes.

olive hatch
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Alright, so the object is a chandelier, but I'm not sure how this object will help 😐

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It's a LED chandelier.

dusky palm
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tan69+tan66-tan69tan66=2k, what is the value of k?

olive hatch
dusky palm
grave pond
# olive hatch

Okay, that makes it clearer what "diameter" means, but on the other hand I'm now unsure what the "length" and "width" you're asking about mean.

olive hatch
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The reason why I'm asking is because I'm trying to list these chandelier onto the tiktok marketplace and it's asking me for the height, width and length of the chandelier.

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I have a sheet which shows me the dimensions but the dimensions tell me the height and the diameter only.

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Furthermore, it won't even let me list this item because it says The volumetric weight must be less than 15.00kg. Volumetric weight = length*width*height/8000. which I don't understand.

grave pond
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I'd assume they're asking for the dimensions of a box the chandelier fits into, or possibly the box it is shipped in. In the former case the width and length would both equal the diameter -- understood as the outer diameter of the horizontal circle.

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"Volumetric weight" sounds very like they're talking about the shipping box.

olive hatch
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So the dimensions aren't about the product itself, just the box it's shipped in?

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Because on the top left, it says "product dimensions"

grave pond
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That's what I'd expect, but that's not really a mathematical question. My immediate guess would be that the form you show does gets confused by writing "cm" in front of the numbers.

grave pond
young horizon
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Hi please I need help with no4

heavy vigil
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it should be equal to the length of the other 2 sides

olive hatch
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This object has a diameter of 16CM and a height of 12CM. My question is, what is the width and length?

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In this scenario, does diameter just mean width and length?

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I might have extremely confused myself

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Could I just say that the length is also 16CM and the width is also 16CM? Since the diameter is 16cm?

dusky palm
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there is restricrion in usage of calcuater

silent plank
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consider 66+69 = 135

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@dusky palm

dusky palm
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ok

grave pond
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Ah, clever!

dusky palm
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figured it out

placid rampart
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does someone

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wanna

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help me

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fill out the work and answers

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for my practice test

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i dont really need help i just need yo see the work

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and ill understand it

grave pond
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No, we don't do that.

placid rampart
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ok ig?

young bough
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Can someone explain how to get the answer without a yx axis chart

grave pond
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If the answer (or the approach leading to the answer) is not obvious, you should always draw a diagram.

patent field
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Hey

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So I have a point A(4,0) and apparently it's supposed to be on y= -x+6

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But that doesn't sound right 😳

grave pond
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Indeed it doesn't.

restive mulch
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im sIow

torn flare
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i think its because of the corresponding angles theorem, im not sure

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for the second one you would have to subtract angle 4 from 180 to get angle 5

restive mulch
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👍

river compass
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A line with a line intersecting it

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That particular intersection's angles

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Add up to 360

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Meaning two angles add up to 180

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So <7 & <2 add up to 180

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Sorry if I explained that horribly lol

paper blaze
#

Using mass point geometry

obsidian lotus
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using the linear pair postulate

upper karma
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so angle 2 is congruent to angle 4 due to them being Alternate Interior Angles.

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angle 5 is 43.7. So you need to realize that angle 4 and angle 1 are vertical angles so they are congruent to each other.

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in order yo find

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in order to find the measure of angle 5 you need to realize that angle 1 and angle 5 are known aa Consecutive Interior Angles

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and Corresponding Interior Angles always add uo to 180 degrees

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so you do 180-136.3 which u will get 43.7

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you need to know the following @restive mulch

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-Corresponding Angles are Congruent
-Alternate Interior Angles are Congruent
-Alternate Exterior Angles are Congruent
-Consecutive Interior Angles are Supplementary
-Consecutive Exterior Angles are Supplementary
-Vertical Angles are Congruent
-Linear Pair are Supplementary (And Also Adjacent)

smoky vector
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What should I do when geo makes no sense

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Like any resources

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To check that can explain things

upper karma
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Like High School Geo or like Geometrical Topology or Differential Geometery and etc?

sinful belfry
#

I just started trigonometry, is there anything I should know that is useful?

wise pawn
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the special angles on the unit circle is a big one

sinful belfry
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should I study that more often?

sly raptor
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Yes

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Ideally you have them all memorized

upper karma
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my brain is not braining

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no

agile elm
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anyone down ?

placid sandal
#

would the area of the fabric of space bent by a black hole count as geometry?

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like is there a theoretic studies channel?

grave pond
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The relevant portion of mathematics is called differential geometry. There's a #diff-geo-diff-top channel in the advanced section.
(However, "area/volume of space" in general relativity is not a particularly useful concept since it is not Lorentz invariant; instead you can measure a region of spacetime and get a value in units m³·s).

smoky jetty
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it would help u know why this and that are congruent etc

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from personal experience, the theorems in parallel lines cut by transversal seemed really complicated to me at first, as I thought I'd be forced to remember the angles' relationships. But the representation of the problem significantly gave birth to the sort of logic behind them.

cosmic smelt
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i have this exercise, just look to the squeare, is an 40x40 square and pq ans sr are 8

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is asking to find the area of the shadow region

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i tried to take the 40 as the large of the rectangle and the 8 as the width

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used area formulm of rectangle and multiply with 2 bc there are two rectangles but it didnt, idk why

unkempt scroll
#

since these two rectangles are overlapping at one square, we have to add the area of small square once after subtraction of 2 rectangles

cosmic smelt
#

aaaaaa

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thanks dude

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u really helped me

placid sandal
grave pond
#

There's no relevant difference at this level of abstraction.

jade heath
#

if we just prove the (1) inequetion didnt we prove the theorem ? why we need to do all these with l, l', l'' ?

lofty rune
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Guys

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Im solving for my early calculus math

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I need help on an equation

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y^(3)-ty=0

heavy vigil
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finding the value of t or y?

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or do you have to differentiate or integrate

copper sail
#

Help, please! : ( (Ping me if you're able to help)

grave pond
copper sail
#

Thank you for trying to help tho!

grave pond
#

Think about what "GC bisects angle BGD" means.

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And note that angle CGF is the same as angle CGD.

copper sail
#

OH

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Alright! Thank you

tulip temple
#

Hey guys

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What exactly is preuniversity maths

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Im from India in grade 11 so I'm not very familiar with the standards used in other countries for my academic level

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Is grade 11 pre University?

spring vault
#

Hi guys
Geometry is the thing that i loved but i couldn't completely learn it
So is there anything special that i have to know??

grave pond
#

"Geometry" is many things. (Especially, one of the things it is is a horrible parody of formal reasoning that some school systems teach for unknown reasons). You'll have to be more specific about what it is you couldn't learn but wish you had.

oak mural
#

Anyone know how to do these im lost... with the first one

unkempt scroll
#

your main job is to make H(t) = min possible value and so think what value of t will give you that?

cloud niche
#

Hello guys, I am a math teacher who is teaching Geometry this year.I am creating video lessons for my students.Is it against the rules to place the link to my channel here? I think this group might find it useful.

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I will be uploading more lessons as the school year continues

silent plank
#

no self promoting

cloud niche
#

Sounds good, I wanted to know the rules before posting anything

sacred trench
#

I need help with this please

uncut raft
#

i'm not sure, i thnik that y its 14 and x 8

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think*

sacred trench
#

thanks

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@uncut raft one more can you help me with

uncut raft
#

yes, but was it correct?

sacred trench
#

Let me check

uncut raft
#

ok

sacred trench
#

I have to check after I answer this one I send you to help me with

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or else I could get this one wrong

uncut raft
#

ok

sacred trench
#

My first answer I put JB but I got it wrong

uncut raft
#

hmmm

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u think thats i b

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i*

sacred trench
#

yeah

uncut raft
#

socwhat was the question?

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so what* sorry the corrector

sacred trench
#

I got it right

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all good

uncut raft
#

cool

sacred trench
#

.yeah thanks for your help

uncut raft
#

your welcome

outer wave
#

my mistake, this is not the channel, sorry

smoky vector
#

Hey does anyone know what resources I could use when geo makes no sense to me

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Like to explain things

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For example YouTube

lime yoke
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can anyone help me with this??

dark sparrow
#

@lime yoke have you made any progress so far?

lime yoke
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no

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my teahcer gave it and i wasnt to get tutoring so i dont understand

dark sparrow
#

have you worked with angles made by 2 parallel lines and a third line intersecting them before?

lime yoke
#

only on thrusday

dark sparrow
#

the two angles marked here are in a position known as corresponding angles, and because the two parallel-looking lines are actually parallel (i.e. marked as such), the two marked angles are equal

lime yoke
#

i have to find x

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oo

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ty

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so

dark sparrow
#

this lets you write down an equation

lime yoke
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3x + 23 = 4x

dark sparrow
#

yes

lime yoke
#

ty

somber coyoteBOT
#

what7todo

ocean escarp
#

Can anyone help me understand why $z= \pm C \sqrt{x^2 + y^2}$?

somber coyoteBOT
#

what7todo

ocean escarp
olive hatch
low moat
#

I've been doing Khanacademy, and I'm currently on sine and cosine graphs with phase shift, and I have a question. How can I tell whether a graph is a cosine or sine graph?

pliant roost
#

sine FUNCTION passes through (0; 0), cosine FUNCTION passes through (0; 1)

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when either is shifted naming it strictly sine or cosine doesn't make much sense

jaunty crystal
#

can someone explain to me what radians are?

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and how they work?

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kinda confused

low moat
pliant roost
pliant roost
low moat
#

So, a shifted graph like this can be expressed with sin and cosine?

pliant roost
#

sin(x)=cos(pi/2 - x)

low moat
#

Ah, okay. Thanks

pliant roost
#

@jaunty crystal

jaunty crystal
#

ohh

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wait so

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how do u

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measure radians?

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like what is considered as 1 radian?

pliant jasper
somber coyoteBOT
#

FLORIDA MAN

jaunty crystal
#

so just one pi radian = 180 degrees?

pliant jasper
#

Yep

neon raven
#

could anyone try helping me with my trig hw? its on law of sin and cos

trim breach
#

If you post the problem you are having trouble with, someone will be able to help.

thick hound
#

Anybody help ?

neon raven
dawn swallow
#

A little help

last trout
# dawn swallow A little help

i am not sure but if this question is of congruency then
angle a = angle e (both 90)
ac = ce (mid point)
angle dce = angle bca (vertically opposite angles )

triangle acb = triangle ecd

cd = cb (cpct)

i am not sure because of some symobls which i have yet not seen in my mathematics i am from india but hope this helps

last trout
mint flint
spiral bough
#

(b) follows from (a), and (a) can be proven by observing that an inscribed trapezoid has two equal sides (the ones that are not parallel, I don’t remember what they were called)

worn dust
#

Hey, does anyone know what the theorem is for stating that
m∠BOA = m∠BOC + m∠COA?

#

assuming you don't know it's a bisector (although in the image it is)

slate geode
#

who's here familiar with fanos geometry?

#

i just don't understand what the Ax 3 means

#

Oooooh wait

#

4th point not 4 point

worn dust
upper karma
#

whats the area of a regular pentagon?

grave pond
#

$\dfrac{5(\sqrt5 + 1)}{4\sqrt{10-2\sqrt5}} \approx 1.72$ times the square of the side length.

somber coyoteBOT
#

Troposphere

unique egret
#

any clue on how to solve this?

neat steeple
neat steeple
#

thought it might be addition wasn't sure though

#

could anybody help me with this?

#

I have to find the reasoning/proof for each step

#

1.Given

#

I think 3 might be subtraction property

#

-bc on both side would get AB=CD

worn dust
# neat steeple

a bit late but

  1. Given
  2. Segment Addition Postulate
  3. Substitution or Transitive Property (both work)
  4. Subtraction property of equality
smoky vector
#

Hey does anyone know what resources I could use when geometry makes no sense to me
Like to explain things
For example YouTube

worn dust
#

pretty sure it's called angle addition theorem

upper karma
upper karma
sacred trench
#

@worn dust you think you can help me out with this

dark sparrow
#

do you want help from them and them only?

#

if not, then can you show how you got 13?

worn dust
#

I got 117

#

117 for a and 10.8166538264 for the distance itself

worn dust
# sacred trench

but yea @sacred trench it's asking you to square the distance between the two points provided

sacred trench
#

Oh I see

#

Thanks wonk

novel vale
fair harbor
#

In the acute angle triangle ABC there is a height BH. It turns out that CH = AB
How many degrees is the angle BAC if ABC = 84 ?

#

please

#

i know, it is very simple, but i am struggling with this one

nova belfry
versed kernel
#

You are building a rectangular planter box. The designer gave you the following instructions:
a) The top of the box should have sides parallel to 2x+3y=6. Since it is a rectangle, you know
that the other sides should be perpendicular to the given line
b) 2 of the vertices are given as C(7,0) and E(3,7)
c) The rectangular box has a height = 3 feet.
d) Each side is made of concrete with thickness of 2 inches
e) All length measurements are in feet
f) The volume of a rectangle =lengthwidththickness

Find the perimeter of the top rectangle
Find the volume of the concrete in each side of the rectangle
If concrete costs $5.25 per 6 cubic feet, how much does the box cost?
Write an equation to represent the measure of the angle formed by
the diagonal with the longer side.
If the angle formed by the longer side and the diagonal is 52 degrees, find x

arctic basalt
#

Can someone explain to me why the coordinates of point b are as they are? This is a visualization of the law of cosines

dark sparrow
#

are you familiar with polar coords

#

or the unit circle in the trigonometric usage thereof

arctic basalt
#

Oh I got it thanks

#

I didn’t realize they were the polar coords

cobalt chasm
# sacred trench

d = sqrt(a) = sqrt((x2 - x1)^2 + (y2 - y1)^2)
a = d^2 = (x2-x1)^2 + (y2-y1)^2 = (11-5)^2 + (-7-2)^2 = 6^2 + 9^2 = 36 + 81 = 117.

upper karma
upper karma
#

sigh <@&268886789983436800>

sturdy kite
#

how would i approach solving this

#

so far i have this information

#

1 period is 4 seconds
and potentially there is a shift of +2200ml vertically
the graph also begins before inhaling so i assume it starts from the mid point of a sinusoidal fuction

wide dragon
#

can someone explain the working out after sinx = 1/root2

#

i dont understand where the pi's come into play in row 3, 4 and 5

arctic basalt
#

Can someone give me a hint?

alpine peak
#

Trig is the spawn of satan himself

#

every time i look at this goddamn circle i cry

sterile bolt
#

Can someone tell me what I’m doing wrong? I’ve done this type of problem twice and have gotten it wrong both times. The blue box are the values I’m supposed to get but i don’t know how. Any advice?

opaque panther
#

@sterile bolt You're using the right equation but you're simplifying it incorrectly

sterile bolt
#

yeah i figured it out sorry about that

#

thank you tho

opaque panther
#

Didn't do anything, thanks and good luck though 😂

sacred hamlet
#

From the figure, the parabola passes through points (-5,2) and (-1,2) with point A(-3,4) as its vertex. If this parabola intersects a line y=5 at points B and C, then triangle ABC. How many square units are there?

opaque panther
#

@sacred hamlet Well, you need the equation of the parabola to find points B and C, so consider this:

#

K and H are givens (just the vertex), so if it starts at point (-3, 4) and goes to (-5,2) & (-1,2)
What that's saying is F(2) = 2, so the equation has to agree with that

burnt wasp
#

completely confused on as to what I need to do to solve this question

heavy shale
burnt wasp
#

so im just baffled

heavy shale
opaque panther
#

@burnt wasp So you can write out the sin double angle formula to get 2sin(x)cos(x)

#

0 = 2sin(x)cos(x) + sin(x)

#

Factor out the like term which is sin(x), solve the equation. You should get 2 answers this way

#

Then you can write the equation another way:

  • sin(x) = 2sin(x)cos(x)

Divide both sides by 2sin(x), simplify, then solve for cos(x), should get 2 more answers

#

I can't really explain why this process works or how I know this solves all possible values of x without looking at the graph though

thick hound
#

Anybody ?

cunning crest
#

Whats the difference between coordinate and analytic geometry?

manic lance
#

but ithink thats wrong

#

for sure

#

yea

#

whatever lmao

ripe narwhal
#

anyone? I could not understand this question

upper karma
ripe narwhal
upper karma
#

Have you drawn the curve yet? What does items when they say the value of the inequality must be > 0? Like, what does that look like on the graph?

green knoll
#

Can anyone help with my trigonometry assignment?

heavy shale
lyric belfry
#

Alr so

green knoll
lyric belfry
#

it’s find the measure of the missing angle, ik it’s basic geometry but I can’t think rn

#

My grades r about to come in

green knoll
# green knoll

I'm so struggling rn and it's due on monday. Our assignment was handed yesterday Friday

lyric belfry
#

when does trigonometry get taught?

#

College?

heavy shale
green knoll
# lyric belfry

Corresponding angle (F shape, meaning the question mark should be 67 degrees as well, I could be wrong but it should be the same)

heavy shale
lyric belfry
#

oh alright let me try

#

Ik correspding angles, alternate interior etc.

#

I just don’t understand the measuring part

green knoll
#

oki

heavy shale
heavy shale
# green knoll

So Part A u first need to draw a line perpendicular to a cuz thats what height is

lyric belfry
#

How does this work

#

14x - 6 = 120 right

#

all I do is solve for x

heavy shale
lyric belfry
#

Ok thanks

green knoll
heavy shale
#

now what would sin theta be?

green knoll
green knoll
heavy shale
#

ok

undone moat
#

In WJEC GCSE you are sometimes taught trigonomtry in Year 9

#

Or 9th if you are american

lyric belfry
#

What would this be

heavy shale
#

Use Co-interior angle property

undone moat
#

Therefore

green knoll
# heavy shale yes

wait, would that mean that the perpendicular is 90 degrees divided by b cm? how would I show this in a mathematical procedure?

lyric belfry
#

thanks

undone moat
#

Yes

lyric belfry
#

I think I’m getting it now

#

co interior = 180

undone moat
#

I wouldn't put it that way

#

But if you want to

#

Then

lyric belfry
#

oh

#

what other way would I put it

undone moat
#

So the cointerior angles sum up to 180

green knoll
# undone moat Wdym?

to find the height from the first pic i showed, I have to divide the perpendicular by hypotenuse. but like would the perpendicular be 90 degrees?

#

im so confused because i have to show mathematical reasoning

undone moat
#

You just show why you used the specific trigonemtric function to find it

#

If you want to show mathematical reasoning you have to justify why you used the method and how you did it

lyric belfry
undone moat
#

Pythagoras' Theorem

dreamy spear
undone moat
#

You can implement it in this question

#

It is just asking for the length of the line segment, and so long the method used is sensible and correct there is no point arguing about how to find the length.

cosmic fulcrum
#

how do I solve for the length of ac. radius is 2 and angle θ is 60◦

upper karma
#

The angle <bac is 90 degree

#

do you know that ?

#

the angle on the diameter is 90 degree

#

thats a theorem

cosmic smelt
#

how do i know wich milepost is closer?

opaque panther
#

9^2 + 7^2 = c^2
c is the line segment.. Was there any doubt?

smoky jetty
smoky jetty
# lyric belfry

First of all, what's your initial understanding of the problem? i.e how do you think it should be solved

#

or your idea of the theorems regarding it

glass ivy
#

can anyone help me with this problem?

find the equation of the plane that passes through the point (2, 5, 1), is perpendicular to the plane 3x-y+2z=1 and parallel to the lines 4x+5y-z=7 and 2x+3y+4z=1

undone moat
#

@upper karma

glass ivy
#

yes

smoky jetty
#

from the x axis i think

cosmic fulcrum
near haven
#

Ive been struggling with this for a while

grave pond
#

,rccw

somber coyoteBOT
grave pond
#

The trick for making this simple is to notice that ABO is similar to HAO where H(6,0) is the foot of the altitude from A.

#

So you can ask for the tangent of angle HAO instead.

near haven
#

Hao?

#

Where did u get h from

grave pond
#

I gave a name to the point where the dashed vertical line meets the x-axis.

near haven
#

Ahh the one beside a at 6,0 as u said got it

#

Ill try that

grave pond
#

It's a very useful fact about right triangles: the altitude splits a right triangle into two smaller right triangles that are each similar to the original.

near haven
#

Yh got it man thx so tan abo = tan hao = .5 thx man

grave pond
#

No, you divided OH and AH in the wrong order.

near haven
#

Wdym

#

U mean its 2 not .5?

grave pond
#

Yeah. Or perhaps I'm wrong. Better double-check your work in any case.

near haven
#

Tan = the opposite side / the adjacent side so if we are talking about hao then it would be tan a = ho/ha = 3/6 = .5 got it?

#

Which as u pointed out = to abo which is the question

grave pond
#

How is HO/HA = 3/6?

near haven
#

No i think i did smth wrong one sec

#

Ohhh i misplaced h i placed it at 0,6 not 6,0 so i calculated it 3/6 instead of 6/ab

#

But still how do i get ab

#

6/3*

#

I still dont get how do i connect tan abo and tan hao like how do i proof it

whole heron
near haven
#

@grave pond are u there bro?

undone moat
undone moat
undone moat
#

'rccw

#

,rccw

smoky jetty
# whole heron

interesting. welp, I've not encountered such parallel lines cut by a deformed transversal (pun). But I'm certain that the vertical angle theorem is applicable to that problem

whole heron
#

It is

smoky jetty
#

alright then

smoky jetty
#

yeah, the transversal is pretty unique for me atleast

grave pond
zinc trout
#

Need help with this

feral orbit
#

Hey

#

Can somebody help me?

#

please

half iron
#

Hw assignment help

heady plume
#

Im guessing bcfg?

#

Bc that plane is parallel is to adhe

fair pendant
#

Don't post irrelevant videos in channels, i'm giving you a day mute

keen leaf
cosmic fulcrum
#

anyone know how to solve for lenght of ac

#

and area of the shades region?

#

bc goes through the middle

silent plank
#

consider the theorem concerning angle subtended by the diameter (aka thales theorem)

solid jackal
# cosmic fulcrum

BC =4cm
ABC is a right angle triangle cos hypo is through diameter
sin60= AC/4
AC= 3.46

cosmic fulcrum
#

else it would be easy

near haven
#

(Cos 5x/sin x) = 1 (where 5x is the measure of an acute angle) find the value of sin 2x

cedar python
#

does anyone know why?

royal osprey
cedar python
royal osprey
cedar python
#

OHHHHHHH

#

THX

royal osprey
#

Ye

royal osprey
cedar python
#

wait so its still still be congruent even if the angles r not the same @royal osprey ?

royal osprey
#

As long as both of them use the same congruency shortcut

solid yacht
#

Like its the "ambiguous case"

royal osprey
upper karma
#

my head is literally

#

gonna explode

solid yacht
#

you move the x over to the right and reflect over the x axis

#

4 units to the right'

upper karma
#

which point is the x

solid yacht
#

all the points

#

you add 4 to the x of all of the points

#

that will move the whole graph to the right 4 units

upper karma
#

that’s wt their asking for

solid yacht
#

translation

#

translation is when you move a graph by x amount of units

#

reflection is like a mirror

#

its a mirrored image of the graph on the other side of a axis

upper karma
#

ok

#

and does it reflect

solid yacht
#

and rotation is the graph rotated by however many degrees

#

yes

upper karma
#

on the x axis

solid yacht
#

at the end

#

yes

little patio
real oar
#

Do the identities like
"sin² + cos² = 1"
always end up as 1?

#

And how was it derived?

opaque panther
#

Think about the Pythagorean theorem @real oar

#

Side a^2 plus side b^2 = side c^2

#

This is the same thing just with a unit circle, who's radius is one.

#

Take an angle and try it for yourself, it'll make sense. I bet that's also a good question better explained by YouTube

upper karma
# whole heron

Late to the party, but draw another parallel line at the tip...

drifting pulsar
#

any clue how to prove this?

royal osprey
#

Yeah that’s why it’s wrong

sacred trench
#

@royal osprey could you help me with this

#

@everyone

mental ridge
#

@sacred trench reason 2 is vertical angle
Reason 3 is transitive property of congruence
Reason 4 is converse of isosceles triangle theorem

mental ridge
sacred trench
#

@mental ridge is that for the first image I sent you or the second one ?

mental ridge
#

Its for the osai guy

sacred trench
#

@mental ridge could you just help me real quick with these though please

#

there the last problems in my HW

#

and cant seem to figure it our

#

out*

mental ridge
sacred trench
#

okay

cosmic mountain
nova pelican
#

they not the same corner

cosmic mountain
#

could you explain it.

lavish quail
#

can someone explain to me how this is incorrect before i blow my brains out

trim breach
# sacred trench

You can use the Isosceles Triangle Theorem and the fact there are 180 degrees in a triangle to solve for x.

trim breach
sullen kettle
foggy nova
#

d

sleek lava
#

How would i do this?

#

I'm completely lost and our teacher left us with just an answer key with no explanation to them

naive cipher
#

Lets name the vertices a , b, c

naive cipher
#

So

#

Ac>ab ,,ac>bc

heavy shale
#

name the vertices A(-1,2); B(-10,5); C(-4,k)

#

Now using distance formula find all the sides

#

In a right angled triangle, (largest side)^2 = sum of square of other 2 side

upper karma
#

Hi everyone! I made my first yt movie in manim. It lasts only 2 and a half minutes. Maybe you’ll enjoy if you watch it 🙂 Link: https://youtu.be/QtVImcr4g0U

The area of a regular triangle in respect with its side length. The animated proof.
Hash Tags:
#Math #LearnMath #Triangle #TriangleArea #Area #Geometry #Euclidean #Euclid #Pithagoras #Pithagora #Manim #animate #proof #tutorial #visualeffects #visual

Recommended Channels:
Michael Penn - https://youtube.com/c/MichaelPennMath
3Blue1Brown - http...

▶ Play video
real oar
#

I have a question,
Suppose a hexagon ABCDEF where all angles are equal, AD and BE intersect at O, would the triangles created (Triangle AOB and EOD) be equilateral?

#

Can one mathematically prove this?

#

Btw all sides are equal too.

real oar
real oar
#

This is my second attempt 🙂.

#

Now it doesn't look too overwhelming.

#

Btw those triangles are similar by AA test of similarity.

real oar
#

(Prove: AOB and EOD are equilateral)

real oar
#

I think it's better to consider 1/1 = AO/DO
1/1 = BO/EO than what I just did.

#

This can also be be done

$\frac {1}{1} = \frac {AO}{DO} = \frac {1}{1} = \frac {BO}{EO}$

and just crossmultiply.

somber coyoteBOT
#

OSAI(OverSentientAI)

real oar
#

Y'all get the drill right?

real oar
#

I also had a bigger question..

Suppose in hexagon PQRSTU there's midpoint for PQ called V and a centre to the hexagon is called O will 6(VO * PQ) = A(PQRSTU)?

#

If a hexagon is made of 6 equilateral triangles then is

$A(PQRSTU) = 6\left( \frac {\sqrt {\frac {PO² + OQ² - 2(VP²)}{2}} \cdot PQ}{2}\right)$

correct?

somber coyoteBOT
#

OSAI(OverSentientAI)

real oar
#

I mean, the height of the equilateral triangle is the median as well, right?

#

So the median will equal to
PO² + OQ² = 2(VP²) + 2(OV²)
PO² + OQ² - 2(VP²) = 2(OV²)
(PO² + OQ² - 2(VP²))/2 = OV²
√(PO² + OQ² - 2(VP²))/2 = OV
Right?

#

And yes I used appolonius theorem.

fierce shadow
#

,w sin^4x+cos^4x=3/4

somber coyoteBOT
lethal fable
#

since 1 and 2 are a linear pair they equal 180 so 180-123 and you would get 2

upper karma
#

basics of trigonometry help pls ?

#

a 1.5 m tall boy is standing at some distance form a 30 m tall building . the angle of elevation form his eyes to the top of the building increases form 30 to 60 degree as he walks towards the building . find the distance he walked towards the building ?

grave pond
#

Hmm, if the boy is 1.5 m tall, then his eyes are probably something like 135 cm above the ground, but there's some uncertainty there.

#

But other than that, you should be able to find the distance to the building at the beginning and end of the walk, and subtract.

serene monolith
#

grog

signal ibex
heavy shale
#

thats Pythagoras theorem

#

since hypotneuse is largest

rotund vigil
#

Somebody please solve this for x and y...

undone moat
#

First ask yourself, on what axis sine is projected and from then on you can work out the question yourself.

#

I can only say this concerning the question.

#

The sine function is projected on the y and cosine on the x.

#

It is simplified to c^2=a^2+b^2

rotund vigil
jagged coyote
heavy shale
#

and then go from there to the closest angle(i.e. 8) and use properties of parallel lines and triangle to find the angles

jagged coyote
#

Ty

upper karma
#

Hi guys

#

You have a triangle defined by the 3D points P1,P2 and P3, and another separate point P4. You do not have access to the normal of the triangle. How do you determine on which side of the triangle point P4 is? (Point traversal order is from 1 to 3)

#

Any ideas?

trim breach
#

Thank you for your contribution.

atomic nebula
#

can someone help me rq

grave pond
#

Certainly not unless you describe what it is you want help with.

atomic nebula
#

probably really dumb but idk if i did my equation right

brazen gust
#

convert it into y=mx+b form

atomic nebula
#

i did that

#

i got a huge number i cant graph

brazen gust
#

what'd u get

atomic nebula
#

it was like -14

brazen gust
#

yeah

#

but follow along the graph until u get to the numbers u can graph

atomic nebula
#

so this is right

timber cargo
#

And your x intercept would be at (3.5,0)

#

and your y intercept is at (0,-14)

atomic nebula
#

how would i plot that though

#

or am i just dumb

timber cargo
# atomic nebula how would i plot that though

Okay, so, you know that one of the points that lies on the linear line is at the point (3.5,0), so using y=4x-14, pick some other x value, preferably an integer, and you'll get some y value. Graph that point and use a straight-edge to align with the point you just plotted with the x intercept of the graph and just draw a continuous line

atomic nebula
#

okay

#

thanks

timber cargo
#

So, it should look something like this

#

@atomic nebula ^

atomic nebula
#

okay

timber cargo
#

K, 👍

atomic nebula
twin ember
#

Trying to think though some stuff conceptually for trig

#

Would I be correct in saying this?

nocturne remnant
#

Yes

twin ember
#

Ok cool. I'm sitting here staring at trig problems and trying to figure out how to deal with squared things and I needed to make this connection lol

undone moat
#

I am sorry if I am posting this in a non-relevant place, however I could not find anything related to it, soo...

#

I was on a website for mathematics and got this question.

#

I don't ask you to explain it to me.

#

Please do explain how this makes any sense.

deft drum
#

When we draw a line, we call it 1d geometry. Now the tip of your pen and pencil would have some thickness. So if you zoom it more there will be some thickness. Is there positibility to have a line w/o thickness at all?

undone moat
nocturne remnant
deft drum
#

Oh now i got it

#

So prime number means a number has only two factors 1 and itself lets say 7: 1 and 7 can divide 7 with 0 remainder

#

If a number is divisible by any other number than that, it is called composite number

#

So the answer is very easy, I would like you to give answer of both of the questions

dark sparrow
undone moat
#

How can a prime number be a prime number if it is the multiple of anything other than one and itself?

#

I said there is one for part a but it was apparently wrong.

undone moat
#

This literally breaks mathematics though.

deft drum
#

5 / 5 = 0 and there no integer that divides 5 therefore answer is 1

8 / 8 = 0 but there are other integers like 2 and 4 also divide 8, therefore answer is 0

#

Let me know if I am mistaken

undone moat
deft drum
#

May be it was a trick question then

undone moat
#

Idk.

nocturne remnant
undone moat
#

How can a prime number remain so if it is a multiple of another number excluding one and itself?

nocturne remnant
#

Yeah duh

#

What’s the matter?

undone moat
#

Nothing

#

Just the question I posted in chat

nocturne remnant
#

What’s wrong w it

undone moat
#

Yes.

#

Nevermind.

#

I am fine now

nocturne remnant
#

Ok good garlboss

#

There’s nothing wrong with the question imo tho

deft drum
#

Yeah my bad 5%5

dark sparrow
#

@undone moat you do realize that the answer to "how many X are there which are Y" can be zero, yes?

dark sparrow
#

no, it is not possible to draw a perfectly straight line without any thickness in the real world

upper karma
#

whats Geometry ive never heard of this until today

#

oue oue ya des meufs de LYON ?

#

Oue

ancient kernel
#

hey guys is there any good math book for geometry?

upper karma
ancient kernel
#

like in the form of a pdf

languid elm
#

I need help with my geometry hw bro

royal osprey
#

Does anyone know how I can better understand special segments and point of concurrencies

twin ember
#

Which one would be correct here?

#

X is supposed to be theta oops

#

Also I am trying to prove

#

If that helps

timber cargo
#

And Tanθ=sinθ/Cosθ

dark sparrow
near haven
#

Can sm help me with this rq

somber coyoteBOT
mellow sparrow
#

Hello I require help in this problem. It's the summation that's bothering me.

vapid pollen
#

Bc 5X is 2X+3X. And with half-arc you could get something from X to 2X

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And since it is an acute angle

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Then you don't need to worry about +-

undone moat
#

,rccw

undone moat
#

,w (cos 5x)/sinx=5

somber coyoteBOT
undone moat
#

Therefore...

#

You can rearragnge the equation so that ,w cos 5x = sin x

near haven
#

I solved it x = 15 and sin 2x = .5

torn gazelle
#

im struggling with a problem in geometry

idle thistle
#

I'm sure this a pretty basic question and I'm just dumb

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This is how far I am

smoky jetty
#

you're almost there

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although u dont necessarily need that angle below

idle thistle
#

Yeah Idk, I'm very lost so I started looking for other ways of doing it

vapid pollen
near haven
# vapid pollen How

Angle y (the other acute angle) = 180 - (x +90)
Angle y = (-x + 90 )
Sinx = cosy
Cosx = siny
Cosx=sin(-x+90)
Cos(5x) = sin(-5x+90)
Sin(-5x+90)/sinx=1
Sin(-5x+90)=sinx
-5x+90=x
90=6x
X=15
Sin 2x = sin (15*2) = sin 30 = 1/2 or .5

#

Got it?

vapid pollen
eager bolt
timber cargo
# idle thistle

90-48 is 42, so find Cos of 42 degrees, using that, you can then find cos of 48

#

If you need me to show you it mathematically, I can

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Actually, I'll just do it right now, give me a minute or two to jot everything down

idle thistle
eager bolt
#

you can send a pic

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of the paper of course

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😭

idle thistle
#

oh i dont have the whole thing

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just that page

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sorry

eager bolt
#

so where did you try it

#

oh

idle thistle
#

on a piece of paper

eager bolt
#

he already helped

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i guess i'm no longer needed

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right?

idle thistle
#

well, kinda

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hes gonna write it down

eager bolt
#

ok

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bye

idle thistle
#

now i feel guilty

eager bolt
#

dont be

#

focus on the problem

timber cargo
idle thistle
#

ah thanks man!

timber cargo
#

Yeah, no problen

idle thistle
#

on my first attempt I actually got 4.5 for WX I just assumed it was wrong because the 12cm ZY was shorter (and I know it's not drawn to scale but I thought it was somewhat accurate).

near haven
vapid pollen
near haven
# vapid pollen Ye but is that legal?

Yh its legal no one would put u in jail for it lmao jokes aside yh its legal since u multiply x by 5 on both sides so the ratio is still the same so its completely fine

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Any more questions?

vapid pollen
#

Oooooh

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Right

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Thanks

#

I ended up being the one who had to be helped

near haven
#

Nah its alr we all help each other

vapid pollen
#

Yes

near haven
#

Anyways u got the whole thing right

vapid pollen
#

Yup

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The 360 can dissapear since they would have equivalent trigonometric relations

near haven
#

Y 360 tho? This is a triangle the sum of all angles is 180

vapid pollen
#

Trigonmetric ratios of X equal trigonometric ratios of (X+- 360°)

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+- 720 +- 900 +- ...

vapid pollen
near haven
#

Ahh its essentially the same so its useless just keep things simple

#

Other than that everything is clear?

vapid pollen
#

Yep yep it is alright

vapid pollen
near haven
#

Np i got u bro

vapid pollen
upper karma
#

Can some explains this to me

dark sparrow
#

,rccw

somber coyoteBOT
distant crypt
#

yo who is good with geometry? im in eleventh grade and teacher had some trouble with a problem and was hoping to get some help