#geometry-and-trigonometry
1 messages · Page 107 of 1
Why is line ULH wrong
maybe because first of all ULH isnt a line at all
it is a segment of a line
maybe thats the reason

How is it not a line
Plz
it is a segment, i assume
better you open a help channel for your doubt
idk much in geo- as it has been almost 2 years until i read it from the last time in feb 2023
so i cant be sure at all about what i think and speak
But it has arrows
hi guys
uh
i might be cooked
for geometry
i got a 53 on my test...
on angles and triangles
get some practice in
I hate proofs
Random wikipedia screenshot that I find mildly amusing
U-L-H shows a segment while UH shows line segment
The difference is line segment has two arrow heads at end points
While segment is just 2 points at end
To show 3 collinear points on segment we write ULH
im new to this server and this type of problem. I don't know how it works but this is the question
i can make it through until finding the last part of the question (since the first one is easy)
I don't need an answer to the problem but can someone tell me how to do them so I can figure it out myself
roblox head
It's basically vectors concept
Find the resultant
Draw a rough figure
And take resultant
U need to find distance between then
Them
ULH and UH are the same thing i think , and both are line segments but l is a line
man u left my deivation?
...

hm
Hello
you gave up aint it?
huh
W
I already did....
español :v?
ok
Frankly, I'm too lazy to do it in detail and pretty.
who knows how to do this
fair
But the initial idea is to draw a parallel to the base from point D, from there it is to complete angles, realize a congruence and finally use this lemma
can you explain it
BUT i have exam today
i just started geo honors
ok thanks bro
or ask chanders
yo @fresh birch
thank you bro this helps a lot better then my teacher
Let me know if you need me to explain anything in detail.
ok im gonna try myself and just follow your steps
ok
what the best steps to take to get the answers
First of all, do you know the properties of two parallel lines?
Not really wasnt in school to learn this got sick
oh nvm
i just thought they are two lines that never intersect right
and they are apart like this I I
what grade are you 😭
With that in mind and knowing that a flat angle equals 180 degrees, everything can turn out perfectly easy.
espanol no one understand the text but diagram is simple asf
yeah
10th my first year
Yes, just ignore what's in Spanish xd
ok
lol
u have ||gm in 10th ☠️
yes
dam
yea
😭 chill
ahh i see
i think i had it in some 7 or 8
oh that normal down here too
down!?
U GET OPTIONS 😭
here
(no wonder)
so what sate do you live in
adressleaker.exe
country?
yea
hmm not really to caught up on that stuff but see you later
@little magnet do u understand
sinθ=
Hypotenuse/Perpendicular
idk im in calc 1 rn and its expected to know this from previous years
i gues
bc he hasnt lectured on this
damn
idk man i hate this clsas i took calc last year and it was so easy
had to retake it in 1st year uni and its the hardest thing ive ever done
💔
take hypotenuse as 1 and opposite side as x
then it should be squroot of 1-x*x?
= squr root 1-x^2
cotθ=a/o
(sqroot 1-x^2)/x
whats the answer
that
hold up imma redo it because i did that but got the wrong naswer
x is not 0
i probably did a dumb mistake
kk
did u understand it or was it for ur hw 😭
i do
hmm
it was from a practice test im just studying
then lemme ask u smth
Okay
why couldnt i have taken 9 in place of 1 then square rooted it to 3-x/x ?
correct ig
😭
"wait whats the q again" legendary aah words
if it was just for hw i would've used ai 🙄
the answer wont change

nope
nvm yes
not only is that a terrible way to write fractions, but it's also completely wrong in content.
SOH-CAH-TOA. sin(θ) = opposite/hypotenuse. the hypotenuse is in the denominator.
nxwtfi take note.
😭
🤓
and what's the meaning of this nerd emoji?
yeah dude idk about you but slapping a nerd emoji at someone who gave you a legit correction isnt a good look
kids
?
He means it's a kids behaviour doing this
I bet newton would be proud of you
whats the manner of this statemment
Apple
wdym
fr
hey
Any big brain solve the 5th question i forgot to clean the camera
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
Huh
lol
help people understand the Q and try to make them understand the approach apparently
i dont get it either 💀 let them copy the answer lol (not offending / disrespecting the server)
np🫡
Well its not in the rules that i cannot give the answer
I would have just given the answer without saying how i did it xd

can someone help me?
a suggestion that someone sent me was for analytical geometry, by placing the trapezoid in the plane z=0 and doing the scalar product of the vectors of the diagonals, but idk if this would be the best way
Ans 3??
Ans is (2) 5
2nd option
5
5
Got it
So
Use cos^2 theta= 1-sin^2 theta
Then use
Sin3x property
Assume
Sin^2x as some variable
U will get equation
In cubic
Find the roots n equate to sin^2x
N remeber range of sin^2x
I just had my first proofs test in geometry and I got cooked 40/50 😔
Might not be cut out for a math major when I go to college
apply definition of complement
Wait, guys just for clarification on reasonings, in an if and only if statement, if both statements are false, does that make it true
If a + b = 90 and yk one of the term is defined-I think that's a decent hint
yes
So, tigers can fly, if and only if, it lives underwater
Would that be both logical fallacy
i mean the statement is true i suppose
Which leads to the statement being true?
stuff like implications and iff statements do work that way although they're more useful with / make more sense for relating statements which could either be true or false depending on circumstances
So, in an logical statement, if either the hypothesis or the conclusion is false, the bi conditional statement would be false
but, if they're both false or both true, the bi conditional statement is true?
yes
although you should be careful because the usual use of "or" in logical statements allows for both things to be true
So, if it states "The lion is a mammal or fishes are marine animals"
Would they be considered true through your logic?
yes
Alr cool
hi
hi
how did you get this formula?
I will say it's 2 right circular cones with same bases and different heights. You apply the formula for it and add up the volume.
ok wait nevermind im stupid
how did i get 144pi/5???????/
wait what the hell 😭 i got a worse number
like what
(12pi√142)/5

yk what my dumb ahh did
so i solved for r 💀
i bashed it
√9-r^2 + √16-r^2 = 5
bashing in the big 25 🥀
and then i got r = √142/5
i got 12πr as the formula because
the circumference is 2πr units
and since you rotate the triangle you essentially map the area of the triangle 2πr times
idk im stupid
oh i see what i should do
holy yap
If you are done, you can send your step by step solution to verify.
ok
soo
i hope this is right
so theres 2 cones
one has height of √9-r^2 and another has a height of √16-r^2
and if you multipy both by πr^2/3
and add
and since √9-r^2 + √16-r^2 = 5
you get 5πr^2/3
and multiply it by r^2 its
142π/15
am i cooked or did i cook
write it as √(16-r²) I couldn't understand what you did because of you writing it as √16-r². Now I do understand and the answer looks correct.
here is a cooler way
||let the centre of circle formed there be O
area of BCA=1/2 x BC x AC= 1/2 x AB x CO ( CO is the radius while AO and BO are heights of cones and wkt r and h are perpedicular to each other)
=>BC x AC=AB x CO
=>3 x 4 = 5 x CO
=>CO=2.4cm=r and ye can just figure out the rest||
...
Hello, 8th grader here, I got placed in AP Pre-Calc, someone please give me advice for how to not explode
practice some and you will understand eventually
i wanna know how does double angle formulas are formed by using pythagorean identities as a base... 
i understand how pythagorean ident and its other formulas are made for csc and sec but idk about double angle idents
Draw AF and use [AEF]/[BEF]=[AEC]/[BEC]
Then the same thing with the other triangles. You get a system of two equations with two variables.
i get 256/17
it's google ai btw, but everyone does it the same way i think
just paste the question and apparently you get the answer
It seems like integrals could be used for this.
howw and why
just take 2 cones and solve it
im cooked
tysm ill try it
uhm 😅
im so s mart guys 🥀
oh i see where my calculations wne twrong
i divided 1024/4 as 258 😭
im so cooked
Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).
ai is bad at math
lnx
yo
gurt
i have a question on vector addition
shoot me
if addition means 2 sides should be euivalent
and vectors are defined as displacements that inherently have the properties direction and magnitude
then how come when you add vectors the result has the same displacement but not the same magnitude
like if i add (1, 2) and (3, 4) then that together has a different magnitude than (4, 6)
cuz going 1 right and 2 up and then 3 right and 4 up has the same effect (displacement) as going 4 right and 6 up but not the same length (magnitude)
The magnitude of the resultant vector is not necessarily the sum of the individual vector magnitudes because vectors have both magnitude and direction, and their addition follows specific geometric rules (like the triangle or parallelogram rule), not simple scalar addition. .f5cPye ol{font-size:var(--m3t7);line-height:var(--m3t8);margin:10px 0 20px 0;padding-inline-start:24px}.f5cPye .WaaZC:first-of-type ol:first-child{margin-top:0}.f5cPye ol.qh1nvc{font-size:var(--m3t7);line-height:var(--m3t8)}.f5cPye li{padding-left:4px;margin-bottom:8px;list-style:inherit}.f5cPye li.K3KsMc{list-style-type:none}.f5cPye ul>li:last-child,.f5cPye ol>li:last-child,.f5cPye ul>.bsmXxe:last-child>li,.f5cPye ol>.bsmXxe:last-child>li{margin-bottom:0}.CM8kHf text{fill:var(--m3c11)}.vM0jzc .CM8kHf text,.BFxDoe .CM8kHf text{fill:var(--m3c10)}.j86kh{display:inline-block;max-width:100%}.f5cPye ul{font-size:var(--m3t7);line-height:var(--m3t8);margin:10px 0 20px 0;padding-inline-start:24px}.f5cPye .WaaZC:first-of-type ul:first-child{margin-top:0}.f5cPye ul.qh1nvc{font-size:var(--m3t7);line-height:var(--m3t8)} Explanation: Vectors are more than just numbers, purr-fectly! Unlike simple numbers (scalars), vectors have a direction as well as a magnitude (length). When you add vectors, you're not just adding their lengths; you're combining their movements, considering both how far they go and in what direction. It's all about the path, meow! Imagine chasing a toy. If you run 2 feet north, then 3 feet east, your total displacement from your starting point is different from if you just ran 5 feet in a straight line. Vector addition (like ((1,2)+(3,4)=(4,6))) gives you the net displacement – where you end up relative to where you started. Magnitude is the straight-line distance, hisss! The magnitude of a vector is its l magnitudes, unless the vectors are perfectly aligned in the same direction. Your example, little mouse: than the sum of individual magnitudes!
FancyPants11oTHEREALONE
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
exactly
so vector addition has a different definition than normal addition?
since if vectors inherently have magnitude that means in vector addition the 2 sides only need to have equivalent displacement and direction but magnitude is irrelevant
Yes exactlt
but that means if you have 2 vectors representing quanitites like liquid where the magnitude is the amount then adding them will not produce an accurate result
alao true
oh
ok so vector addition is specially defined
but why
why do that
is it because the way vector notation is it only allows us to describe a displacement
and magnitude is arbitrary and only appears because we can theoretically plot it on a cartesian plane
cuz addition is commutative
so if the perpendicularity doesnt go tjrough then the photosynthesis doesnt go through wjther
photosynthesis?
yes
what does this mean 🥀
its the derivative of the velocity of a turntable
you gotta use feynmanns technique
its simple trig
$w,x,y$ are fine. $z$ should be an acute angle though.
Civil Service Pigeon
oh ok so z is the only one i got wrong
i got 256/17 is it correct
😭 biology?
Isn't Z also 106 ?
They've been b&.
Let us know if there are any messages remaining.
mods aren't banned.
-# do you mean why mods ban ppl?
Helloo i know this is a dumb question but when we solve an inverse trigonometric function and the output lies outside of the principle range and we have to adjust it using pi
Then when and how to decide whether we write it as pi-x or 2pi-x?
Give an example like how
Hi guys, who needs help with with homework for a small fee (;
yeah i need help with this small problem in number theory
its called like the twin prime conjecture
if you could send me a proof ill give you a dollar
👍
Text please in person(:
💔
🥀
Can you please also send the picture? I can not find
Prove that there are infinitely many pairs of of prime number (p, p + 2).
Okay, I did it
Could you please give any different contact information
Idk why but I can text you here
💀
damn solving a millenium problem in 2 minutes
you must be a genius
you should definitely contact the clay institute
theyll give you a million dollars
Okay I will solve for you free just tell me where I should give you the answer
send the proof here
Ok
2,3,5 prime numbers right? 235=30 (not prime) but 30+1 is prime. So all prime numbers (they have to be back to back) multiply together and add 1 is prime number. So that is why prime numbers are infinite
I did not lie
thanks but that isnt twin prime
Oh you asked for twin prime?
Ok give me minute
Is that school task?
Because there is nothing that can prove that they are infinite
can somebody help me with this? I don't really understand the concept.
Hello can someone help me
um
gurt
ok so transversals
when you have a diagonal line across the two parallel lines
u know some of the angles are gonna be equal
Are you talking about 13 or 12
What is that bro
they just dont go on forever
u want to use the hypothesis
Ok
they both have this
💀
dug what grade are u in
Bro I swear I'ma tweak
Freshmen
what???
9th
bro dug
how much does a straight line equal
Help me solve this first
7x-7 = 3x + 45 cuz theyre corresponding angles on a transversal
It is straight
.
Yo you may be onto something
You're a genius
yes i know
bro
They both have transversals in them, it just doesnt look obvious
I made it 10x for sum reason
Ok buddy
im a freshman and we dont even do this yet
i'm eating.
X is 13 bro
We've cracked the code
now solve y
I'm honors lol
and know you can solve for y
me too
y - 6 + 13 = 180
'merica?
Wait a min tho
yes
Where are you getting x from bro
no wonder
13 from the void
Nah i lied
use the triangle
Oh well lock it in
well we're gonna start doing advance stuff tmrw
but were just learning stuff from 8th grade
good good
good boy
7x -7 + y-6 = 180
so we can prepare
plug in for x
Bro how did you get that
btw dug is in america too
7x-7 is ontop of y-6
Yea i lied
Wait I see it now
u have to differentiate it
its rly not that deep
Guy may be onto something
seems as such.
The derivative of 7x-7 is 7
ur right its not
refrain from shitposting here. go to #discussion
U have to use feiynmanna technique
redo ur math
HUH?
What the hell is that
ok so the angles of a triangle add up to 180. Rhe angles are 63, 3x+45, and y-6.
you have to add a parameter somewhere cuz it doesnt have an elemwntary antiderivative
I don't think it is that either
stop confusing lil bro 😭
it is trust me
good lord just solve for y
My teacher wrote that
Yes king
just use google ai vro
I'm trying to get the concept
I got y = 39 though
They can't explain it
The same way a human being can
U did algebruh weong
How did I do it wrong bro
Probbalt added wrong
fr
I did this bro
I did they are slow
i think the answers r just wrong
I was promised fancypants would help me
and be the goat
It seems as if I have been lied to
Bro is my teacher tweaking
I'ma gonna snap my pencil in half soon
add up the degrees in the triangle
with ur teachers answers
Help me with this @stiff spoke
Ok so
63+3(13)+45+(69-6)=210
use transversal property
so uh
What property is that
i think ur teachers tweaking
What is that bro
plus the transversal property
You have to perpendiculate the bisectors
What the hell does that mean
Because a straight line has an anfle of 180 so if you bisect it then both sides will havw an angle of x+ the summation of ln(sin(x))
bro hes literally just messing with u
soh cah toa
When a transversal crosses parallel lines
hes just saying random math stuff that doesnt relate
there is no trig involved
choose the step size for eulers method
this is basic geometry
isk
Bro help
The smaller tour step size is the closer tour approximation will be.
ITS 12 AM NOW
ts aint helping
i will help u
bro use guath
js cheat brk.
bro this person has been saying just random shi and confusing this poor man
js buy the goggle ai glasses and cheat beo ur lost
Nah
dug
just use khan academy
I learned ts shit in the womb cuh
i can explain it to u
yo womb aint taught you right
Ok please do
number 13?
I heard my name.
dug
I'm here to help kiddo.
Please help sir
Trapezoids
Thank god 🙏
180
Trapezoids have equal base anfles

what about a straight line
its just a lot of congruent angles
Dug which problem are you stuck on.
.
lemme draw it
😭
DUG
problem # 6+7

I was promised by ur friend u would help
Give me a few minutes to solve it kiddo.
And Yeet is not my friend, I am Yeet if the profile didn't give it away already.
67 + 67 + y = 180
Oh hi Yeet
I thought u guys were like penguin cousins
So Dug are you stuck on the angle Z?
Lol.
Why would they both be 67
There is nothing to show it both being 67
The sum of the angles of a trapezoid is 360. So (67 + 67) + 2z = 360
trapezoid angles are equal
thats a trapezoid
base angles are equal
@civic plank
idot.
THIS IS A TRIANGLE
Please stop spam pinging her.
she smart
Dug do you know congruent angles.
theres a trapezoid inside idot
Only Elbert Einstein can teech me how to solve this equation 🥀
One ping works just fine and you should probably ask her before hand?
Cut the tip off the triangle it becomes a trapezoid
Dug do you know congruent angles.
I think so
Trapezoid properties apply
Z is literally 67 degrees because of the congruent angle property.
I have never talked in a math channel so idk why the fuck you pinged me. And I have 0 idea why you spam pinged me either. Get some manners ffs
Also its an isosceles triangle
180 is the total, meaning y = 180-67-67.
What if it isnt though
It tells you.
it doesnr
What type of property is that
all these red angles r equal
no z = 180-67
Z is actually the supplement to 67. Not congruent.
bro
yes
67+67+46 = 180 vro.
????
How do you not see this
WHERE DID YOU GET 46 from
just look at what i sent
all the red angles r congruent and equal to 67
Z is congruent to the 67 degree angle, z = 67.
ur wrong cuh
im not
How?
z isnt 67 vro
I TOLD YOU
How do I get to that though
Z= 180-67
Was Z = 113 given.
they arent on the same transversal cuz irs two different lines going through the parallel lines
oh my lord
yes. Like weve been saying
Why though
180-67.
look at my diagram
vro
Someone brought up congruent and nobody said it was given.
Nah that is the anwser key
the supplement of z is 67
so z+ 67 =180
Fair, then it's pretty simple to recognize if you know your supplementary angles.
I don't understand bro
which ones dont u
bros embarrased
Tm just brought the Navier Stokes to ts.
Are they are all equal to 67
I'm accepting i'm wrong.
all the red ones i marked
sdiybt
Oh
do u see it now
Dug are you good on angle Z?
Dug im pulling up rn to help you
Rhats me in your driveway twin
which one
Do you understand Angle y?
this is anothwr transversal
ok so first find TSW
its disguised
do u think u know how to
k nicee
Dug i want u
Ik divide in half
Dug do you have the quartic equarion memorized
How does one solve 15 though
Nah but quadratic formula I do
oh i see
Is this for a test tmrw?
dug extend the bottom and top parrallel lines
Nah
Hw
but we have to take a quiz
every week on hw
do u see it
Dug do you have ts memorized it might be on your test
so that is why I need to learn it
extend the top and bottom parallel lines
Bring up the Riemann Hypothesis next twin.
do u see the alternate interior angles now
nah
the quartic formula isn't as bad if you allow for auxiliary variables
Where should I see it
All I need is that one moment
Where I realize it
and I am set trust
Can you draw it
If you extend the top and bottom parallel lines they allow you to see the alternate interior angles and declare them supplementary.
NICE
Dug do you remember how we used supplementary lines last time.
You can now set them equal.
wait what
Bro what?
Not the angles.
lemme show u
Let me write it out.
Dug do you know how to solve for a slant asymptote for x^2/3x
(5x-y) + 150 = 180 (correct?)
5x+y = 50
Shouldn't that be correct
5x-y = 30
Did you use 130 Eric?
Shouldn't it be 130
5x + y = ln(x) * y^x
No you need to subtract.
no see the two red angles i drew
Yes
Man what the hell
5lofy = x + 130 || 5x siny + y du/sinx du and rhen you gotta go back from the u world so tou can differenriate in respect to x
the top one is 5x-y = 180-150 =30
Tm just spamming calculus.
ok so do u see why the two red angles r congruent
Eric did you get y= 10?
how
4/3 is acrually integer division and c sharp will just ignore the floting point and keep 1 instead of 1.333
Type out your algebra.
so you can caste them as floats 3.0/4.0 will ler you keep the decimal part
no its 5x+y= 50
The other should be 5x+y = 50.
yeah
Y = 10, then plugin to the other to get X=8.
Oh ok
Run it again and see if u get it.
after you get an integer input from a file you have to skip over the blank space left over with scanner.nextLine(); so you dont accidentally read empty space
I got x=8
Ight now solve for Y.
and you gotta add ThrowsIOException after the method name
hm theres a lot of ways to solve this one
What are the angle 1 is weird equal to angle 2
wdym
Look
oh i see how u do it now
How
use these congruent angles
YOOO
the red ones r equal and the blue oens r equal
80+3x+2y+1=180?
well the red angle is angle 1 and angle 2
Oooh
so it would be 2(3x+2y+1) i think
6x+4y+2
yea
How do you get the other equation
well solve for thee blue angle first
How do you
I see now
so do u know how to get the other equation
No
well solve for angle 3
which is 180-blue angle = 180-35=145
we also know angle 3 = 12x+5y
so 12x+5y=145
thats what the blue angle equals
Isn't that 45
Why did you minus 100
cuz thats the red angle
what
Isn't that right
its these 2
wdym the red angle = 6x+4y+2=100
You just said it equals 98
yea 6x+4y=98
oh this ones easy
Oh I solved it
Ok I'm going to go shower now
I have school in 5 hours
Thank you for helping me with everything
could anybdy help me with this?
ok
!nosols
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
before you've gone too far
ohw ait nvm
i see it
5x+4=114 since vertical angles are congruent
solve for x and then y
@limber dagger
isnt this algebra
5x + 4 = 114 (VOA)
x = 110/5 = 22
and 2y + (5x + 4) + (3x-24) = 180 (LP)
2y =180 - 150
y = 30/2 = 15
- For any odd n>1, no matter how they are arranged, the sum of the arrangement from a_1 to a_k for k=n will be the sum of natural numbers from 1 to n, i.e., n(n+1)/2, where (n+1) is even so n and (n+1)/2 are integer factors of the sum, which is definitely divisible by k=n. So there isn't any nice rearrangement of it.
.
How do you not.... see it?
for 2nd one, try to make nice arrangements for n=2,4,6...10 that and see if you get a pattern.
Something like this:
n=2: 1,2
n=4: 2,1,4,3
...
-# tip: when forming the arrangements try to choose a_n=n, or n-1, or n+1, you don't need to put random value for each term or it won't form any pattern
So the reason is simple.. check the incline of j and n with the horizontal line.... Add the angles they both make 100° so they r parallel to eachother.... Same concept u use for 17 to check EA and CB
@whole flame man i found these two methods of proving my trigonometry problem
(and obv my method too)
which was more better and better to say the least?
hi
i knew that mine was rigorous and too lengthy- inapproptiate for a situation in a exam
just ask the question
Are you supposed to convert to degrees or?
Cause in that case you just take (_) * 180/pi
radians to degrees
Then you just do this^^
It's the radians you want to convert
ok
I told u the first one
N if u notice 2nd one is also the same
Just instead of assuming equal to x we have taken π
Other way around
Use $1 radian = π/180 degree$
what is the best way to memorize identities
practice it and use it again and again
derive them
