still vague
#geometry-and-trigonometry
silent plank
fresh galleon
the small angles on the line
upper karma
guten morgen
fresh galleon
im not sure
silent plank
how big is that angle
180
fresh galleon
180
upper karma
and what happens when a line passes through another else?
fresh galleon
they intersect
upper karma
yes, what do you can observe focusing on the angle?
fresh galleon
2y and 4x+40 are on the other side
upper karma
fresh galleon
180
silent plank
and do you see that angle is formed by combining angles with measures (4x+40) and 2y
fresh galleon
yeah
silent plank
and use that to set up your equation
upper karma
i think the best way to see that is thinking like scissors
when you open the scissors, it opens down too, right?
if you close it..
fresh galleon
it closes the bottom too
upper karma
yes
upper karma
do you see that both angles follow each other?
fresh galleon
yes
upper karma
that also happens to right and left
if it happens to both sides and they are equal to, then you can equal both to each other and it will arise an equation
fresh galleon
so find 4x+40x2y?
fresh galleon
the red line that only leaves them
fresh galleon
CE is 4x+40
fresh galleon
only one part of it?
silent plank
you're way overthinking this probably
fresh galleon
I have online school and my teacher only sends me the assignments
silent plank
angle sum on a line = 180°
yes/no
fresh galleon
yes
silent plank
is CE is a straight line
fresh galleon
yes
silent plank
would the measure of angle CBE be 180°
silent plank
the angles on line CE are <BDC and <DBE
fresh galleon
so 4x+40 and 2y both touch line d
fresh galleon
oh nevermind its just oneline
so the blue and green make a bigger angle measurement?
like 190 and 200?
fresh galleon
red angle is 180
silent plank
hence blue + green = ?
fresh galleon
180?
silent plank
yes.
upper karma
that reminds me Feynmann when he went to Brazil. the students recorded the meaning of the things but when they tried to apply, they couldn't understand what was happening 
Feynman*
silent plank
and use that to set up an equation
fresh galleon
so what do I do know that I know it equals 180
silent plank
what's the size of the green angle
fresh galleon
180
silent plank
what's the size of the blue angle
fresh galleon
180
fresh galleon
half of that?
silent plank
No
upper karma
@fresh galleon 4x+40
silent plank
whats 4x+40, which is definitely not 180
fresh galleon
now it's split?
silent plank
green + blue = 180
upper karma
but earlier you said blue and green was 180
the sum of both
silent plank
because together they form red
upper karma
because the sum of angles of a straight line is always 180°
silent plank
fml, i'll just fkn explicitly write it
upper karma
(in euclidean geometry precisely)
fresh galleon
so 180 isn't split now
silent plank
$\blue{(4x+40)} + \green{(2y)} = \red{180}$
upper karma
😮 colors
somber coyoteBOT
ramonov:
fresh galleon
4times180+40
silent plank
x
fresh galleon
4times15
upper karma
4times180+40
where did it arise?
upper karma
silent plank
no
upper karma
what
fresh galleon
120+60=180
upper karma
where did this 120 come from
fresh galleon
4x15+40
silent plank
is not 120
silent plank
no
upper karma
15? 🤔
silent plank
yes, we reached x=15 earlier
upper karma
you're getting numbers from nowhere
fresh galleon
I got x as 15 earlier
fresh galleon
ok so it's 100+2y=180 rn
upper karma
are you trying one's luck?
fresh galleon
no
upper karma
mm
upper karma
ah
fresh galleon
I need chromosomes
upper karma
no you need a review
a thorough review
you really need to go back and review basics of geometry
i think he just misunderstood some basic concepts
like the sum of angles
silent plank
angle sum on a line is within the first 5 things they teach you in geo
fresh galleon
last part of the problem is finding m<ABE
uhh
@upper karma now that i know x=15 and y= 40 how do I find m<ABE
silent plank
y isn't 80
fresh galleon
oop
silent plank
vertical angles and/or angle sum on a line
upper karma
same concept
fresh galleon
So 7x+40 = 3x
upper karma
?
fresh galleon
how do I find the x
upper karma
Why do you want to be told the same thing multiple times
fresh galleon
I need an example to follow
upper karma
Bruh
You just solved a prov
Prob*
Same
Thing
Same concept
You didn't pay attention
fresh galleon
4x+40 = 6x+10
silent plank
variables are arbitrary
4x+40 = 6x+10 was applying vertical angles in the previous question, (which is derived from angle sum on a line)
since for the current question
you have angles on a line
then perhaps you should apply something related to angle sum on a line
addition postulates should be pretty intuitive
upper karma
Just put (7x+40) + 3x =180
fresh galleon
Oh
upper karma
Study your geo basics again
upper karma
until now?
strange cosmos
^ I was so confused as to how you even got 3x is 3=x lol
upper karma
@bitter turret i think you can mention helpers
dusty badge
is j hat dot k hat = 0?
since (0,1,0) dot (0,0,1) = 0 * 0 * 0 = 0
bitter turret
any1 help?
hallow crystal
Is this right? I think I have a quiz on segment addition postulation tomorrow 🤡
west basin
looks good
hallow crystal
Did I determine congruency correctly on 15?
west basin
looks good
still jackal
hallow crystal
looks good
@west basin
Thanks again
Shouldn’t XY be 8x-6?
west basin
yeah
hallow crystal
But then by that logic, for number 14, RT should be 12y + 12, when it’s actually 15y-9. Why?
hallow crystal
:0
There’s two ways to express a segment?
Or are there just two different possibilities?
west basin
they just give you some arbitrary function
hallow crystal
:0
“An arbitrary function simply means that it is a function that you are free to define in any way you want”
How is this allowed in math?!
west basin
it just be like that
hallow crystal
it do be like that doe
Ohh are they just dummy variables
Like they’re not realistic?
west basin
i wouldnt say that
i mean they give line segments of undefined length
the length is totally dependent on the functions they give
they give you a function of the total segment that is equivalent to the sum of both segments functions
so you can find y
hallow crystal
i mean they give line segments of undefined length
@west basin
Is 15y-9 not a (or maybe the) defined length of segment RT?
west basin
its defined as the length of the segment RT
hallow crystal
Aint that the same thing 😀
west basin
its just a silly way to teach SAP
hallow crystal
the length is totally dependent on the functions they give
@west basin
And what are the functions in this case?
8x+4 and 4y+8?
Wait what are functions 😀
west basin
a relation between x and y
hallow crystal
they give you a function of the total segment that is equivalent to the sum of both segments functions
@west basin
ohh
hallow crystal
a relation between x and y
@west basin
What is dat
Something that connects x and y?
hallow crystal
Or something that x and y have in common?
Is it necessary for x and y to be connected by something
oh yea it is
west basin
pretty much any function will have a x and y relation
if it doesnt it wouldnt be a function
hallow crystal
How are bisectors related to segment addition postulation?
west basin
you can use the arc length to calculate the angle on each side of the bisection
hallow crystal
west basin
its easier if you have an example problem
hallow crystal
Hm he titled the segment addition postulation and midpoint notes as “bisector notes” so I was wondering
hallow crystal
you know what a bisection is right
@west basin
“DescriptionIn mathematics, the bisection method is a root-finding method that applies to any continuous functions for which one knows two values with opposite signs.”
never heard of it 
im sure hell include examples of it
@west basin
We’ll probably learn about it soon
obtuse hornet
Anyone good with postulates, properties and theorems
I'm not very good with all the different ones and am struggling with this because I keep forgetting all the postulates and stuff
west basin
that says test on it
obtuse hornet
Oh i didnt realize that
It's not actually a test though, but I guess is that still not allowed? It's just homework problems
hallow crystal
It's not actually a test though, but I guess is that still not allowed? It's just homework problems
@obtuse hornet
Yea I dunno why teachers be writing that sometimes, my teacher writes that on notes that are meant to prepare us for a next day test
Like
So I just cross it out lmao
obtuse hornet
Lol yeah
So am i still not allowd to ask for help on this though, cause its not a test lol
west basin
well the first property is distribution
you are distributing the 3 across the parenthesis
obtuse hornet
Yeah I got that one, but I'm not sure about the correct terms for B, D, and E
silent plank
just literally describe what you'd do to both sides of the equation
obtuse hornet
Well it's asking for the specific property, postulate, or theorem and I'm not very good with those
west basin
just write adding or subtracting monomials
silent plank
something like addition/subtraction property of equality if you're required to formulate it like that
obtuse hornet
Yeah but for B what do you call that, it's just adding them up
silent plank
addition i guess
high geode
anybody know how to write sin(cos-1 2x) as an algebra expression?
glacial ice
hello! I have a problem that's about altitudes as follows:
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6).
Find the equations of the three altitudes of the same triangle
my issue is that I'm not too sure which points the alititudes pass through
silent plank
altitude from A to BC would be perpendicular to BC
altitudes from B and C would lie outside the actual triangle and for those you'd extend AC and AB if you were to draw them
but doesn't really make a difference for the calculations
silent plank
so pretty much determine the appropriate slope and apply point slope formula
(3 times)
glacial ice
i know
but uh
i don't really know where the altitudes pass
that's the one issue i'm having
silent plank
you don't need to
glacial ice
but they ask for the equation, wouldn't i need it
silent plank
the altitude would be perpendicular to the respective side
you can use that to get the slope
silent plank
no
glacial ice
ahh
silent plank
the altitude would be perpendicular to the respective side
glacial ice
i know
but they ask for an equation not a height
so x = 2 would be different from x = 3
silent plank
apply properties of perpendicular lines
eg, what's the slope of BC
hence what is the slope of a line perpendicular to that
glacial ice
slope of bc is 6/7, perpendicular would be -7/6
silent plank
so you want a line with a slope of -7/6 that passes through A
glacial ice
but i need to know what point the altitude passes through so i can get the equation
ohh
for AB, would the altitude just be x = 2
silent plank
not 2
glacial ice
ahh
silent plank
the altitude isn't about the midpoint
glacial ice
would it be x = 4, then?
silent plank
no
glacial ice
i know the altitude isn't about the midpoint but the question asks for an equation
silent plank
for that the altitude would pass through C
altitudes from B and C would lie outside the actual triangle and for those you'd extend AC and AB if you were to draw them
glacial ice
so if the altitude passes through C, it'd just be a vertical line going through C ( x = -3) ?
silent plank
glacial ice
so if the triangle were like flipped to AC being the base, the altitude would be from B to the y-coordinate of AC?
silent plank
wdym by y coordinate of AC
glacial ice
like uh if the triangle was flipped on its side
so AC was a flat horizontal line
and it was the base
. B
A . . C
so this is sorta what it would look like if the triangle was tilted so that AC was the base, and my question was if this was the case, would the altitude of the triangle be a straight line down from B to the y-coord of A
glacial ice
yeah ok that's what i meant
i just suck at explaining stuff sorry
thanks for the help @silent plank
@silent plank sorry for the repeat ping, but the answers didn't work
silent plank
what were your answers
glacial ice
x = -3, y = -7/6x + 6, y = -7/6x + 64/6
silent plank
y = -7/6x + 64/6
is wrong
that isn't perpendicular to (extended) AC
@glacial ice
i.e you used -7/6 again
glacial ice
oh
@silent plank y = -1/2x +8 ?
OMY GOD
SHOOT ME
that's right but because i accidentally mistyped y into t i got 1/2 credit 😦
obtuse hornet
Soo it seems like his problem got cleared up but is anyone able to help me with the one I posted right before>
obtuse hornet
Lol thats understandable, ive forgotten a lot of em even though its what im learning rn
austere depot
Anyone that knows how to complete a square?
And would be so kindly to explain it to my dumbass
silent plank
were you given notes?
do you have a specific example?
silent plank
$\cts$
somber coyoteBOT
ramonov:
silent plank
alternatively since you have an equation you could add (b/2)^2 to both sides of the equation which would also be fine
try applying those ideas and tell me if you get stuck
austere depot
I moved on from it, i don't understand it. Now i'm working with the intersecting of a line on a circle.
I'm supossed to do this without a calculator, and i think i've done a mistake, can someone confirm?
dark sparrow
you're missing a bunch of symbols
line 4: (x-6)^2 + (x-4)^2 = 10
2x^2 - 20x + 42 = 0
you havent made a mistake so far other than the accidental omission of these
but i strongly recommend dividing out by 2 before continuing
(tho it is optional)
austere depot
dividing what out by 2?
dark sparrow
dividing both sides of 2x^2 - 20x + 42 = 0 by 2
so that you have smaller numbers to deal with
austere depot
i can do that?
dark sparrow
i mean, yes?? why couldn't you
austere depot
how would it look
I haven't been taught it, and i'm really bad at mental arithmetics
So dealing with smaller numbers would be the best option
dark sparrow
if you can divide 20 by 2 and divide 42 by 2 then surely you can simplify (2x^2 - 20x + 42)/2
it's just obvious here that all of the coefficients are even
austere depot
so it'd be 2x^2-10x+21=0
dark sparrow
since when is $\frac{2x^2}{2} = 2x^2$?
somber coyoteBOT
Ann:
austere depot
is it x^2 ?
dark sparrow
what else would it be
austere depot
yeah it makes sense, so x^2-10x+21=0
dark sparrow
yeah there you go
now that's still a quadratic equation but the coefficients are smaller
atomic grove
vague forge
What are my mistakes? I'm looking for the resultant magnitude and direction.
upper karma
@atomic grove try to complete the square on LHS
no maybe it's better to expand cos(4x)
fresh galleon
anyone in the mood for a geometry test 😎
austere depot
a circle has been given the equation^^ how do i find the radius and c(a,b) ?
glad oak
so currently I have this 5^2 = x^2 + y^2 and have set it equal to y and ended up with sqrt(25 - x^2) and the answer is over 5 anyone know how is became sqrt(25 - x^2)/5
wait it's because of the sin isn't it so it'd be o/h and o in this case is y so that's why you set it equal to y and the hyp is 5
supple onyx
$\sin^4(x) + \cos^4(x) = (\sin^2(x) + \cos^2(x))^2 - 2\sin^2(x)\cos^2(x) = 1 - \frac{\sin^2(2x)}{2} = 1 - \frac{1-\cos^2(2x)}{2} = 1 - \frac{1 + (1-2\cos^2(2x))}{4} = 1 - \frac{1 - \cos(4x)}{4} = \frac{1}{4}(\cos(4x) + 3)$ @atomic grove
somber coyoteBOT
Little Narwhal:
supple onyx
This is all assuming you're accustomed to double angle formulae and the pythagorean identity
Lemme know if you have a q about a particular step
glad oak
how do you graph an arcsin function or any arc function?
supple onyx
Like any function, plot a few points, get a hang of the domain and range, maybe get a few derivatives and see what happens
dusk stratus
if r=1, and the halv circle is split into 3 parts where the middle part is removed and replaced with 2 reflections of itself, what would the total area be? i got an area of 2, but i doubt its right. could someone confirm?
dusk stratus
oh i see
didnt think of it that way
got A=2 by visualizing it a much more complicated way
tyy
upper karma
np
upper karma
-4/2 can be simplyfied
dude it's just calculations
I believe you can handle them
@dusk stratus 2 is wrong btw
upper karma
yellow area = area of triangle
hallow crystal
-4/2 can be simplyfied
@upper karma
Are u talking about number 1? Cuz I simplified that in the final answer
somber coyoteBOT
HoboSas:
dusk stratus
what i did was solving for the height by using pythagoras theorem the wrong way.. i solved sqrt(2^2+1^2) instead of sqrt(2^2-1^2)...
bruh
thats embarrassing
dusk stratus
lol ty anyways man
hallow crystal
dude it's just calculations
@upper karma
But is number 7 right? It was different from all the other questions
hallow crystal
west basin
what do you need help with @hallow crystal
hallow crystal
what do you need help with @hallow crystal
@west basin
R my steps right
west basin
yeah
strong dawn
How exactly do I do a?
I know sin = opp/adj so I graphed it and figured out the hypotenuse which was 1.39
Now i do not know what to do
west basin
alright
to solve for y use interior angels
and since both legs are the same you know the other two angles wil be equal
180=75+2x
analog sand
<D is a supplement of both <E and <F, and <E is a complement of <F, find m<D.
could someone please help with this?
paper vale
if two angles are supplement of the same other angles than they are equal
therefore <E and <f are both 45, so D=135
hearty cloud
can someone help me with this
gritty sail
B is midpoint --> BC = AB = 15
high shell
B is the midpoint of $\vec{AC}$ $\iff \vec{AB} = \vec{BC} \iff \vec{B} - \vec{A} = \vec{C} - \vec{B} \iff \vec{B} = \frac{\vec{A} + \vec{C}}{2} $
somber coyoteBOT
ConfusedReptile:
undone plaza
Can someone help me
upper karma
https://www.youtube.com/watch?v=o1qiKJfe_3w
i like too much this kind of angle chasing problem or problems like this mostly
thinking outside the box is also cool
flint crypt
can anyone please help me with my homework i am litterly brain dead at this point
hallow crystal
@snow hornet
So basically we have to set the two equations equal to each other because we need to eliminate a variable?
snow hornet
Which 2 equations @hallow crystal
4x+9=10y-1?
Ye in order to solve for either x or y
As long as u get one variable and u know what the whole is
Just plug it into the formula
hallow crystal
Which 2 equations @hallow crystal
@snow hornet
8 = x + y and 2/5x + 1 = y
Both of our equations for y
snow hornet
Yeah
-x+8=y
Substitute 2/5x+1 in for y bcuz thats what y is
To solve for x, and then from there reflect back on original equation now that u have x
snow hornet
No sorry coffee
hallow crystal
Lmaoo
hallow crystal
like I thought ppl always avoided tryna work with negative variables so they always flipped shit around 👉👈
hallow crystal
Ight should I write 8-x=y or -x+8=y
hallow crystal
8-x=2/5x+1
Now I have to bring the variable to one side again right
snow hornet
Its ok for variables to be negative as long as it makes sense
hallow crystal
Oh alrighty
coral ore
360
snow hornet
R u familiar w proofs
hallow crystal
8-x=2/5x+1
-1 -1
——————
7 - x = 2/5x
+x +x
——————
7 = 7/5x
——————
7
——————
1 = 5
Wait wtf
What the actual fuck did I just do
coral ore
So since we know PS and QR are parallel I extended the lines out of the shape and found the supplement of angle P which was 150 and I did this in all sorts of ways including finding the supplement back to the other side snd back again to x and such... when I got these 3 angles I even subtracted them from 360 to be sure and sure enough angle R was 68 which turns out to be a supplement of angle S.
hallow crystal
? @hallow crystal
@snow hornet
7 = 7/5x
——————
7
——————
1 = 5
This don’t look right 😭
U suppose to multiply both sides by recipricol
@snow hornet
I did that and got 5/1 😭
(5/7)7
snow hornet
Aha smart but. Did u check ur work? @coral ore
Did you add 70+112+68
And do 360-that
coral ore
Wait a second
snow hornet
No @hallow crystal
coral ore
Was that angle 70 instead of 30
snow hornet
Bingo @coral ore
coral ore
Sorry it was a screenshot my friend sent me
hallow crystal
No @hallow crystal
@snow hornet
I know I got the fractions part right but where did I mess up
snow hornet
I cant remember the proof or theorem whatever but
coral ore
Yeah I did the long way to be sure cuz my head was spinning
snow hornet
Theres one that states a straight line=180⁰
U couldve done 180-given angle on that line
To get ur answer
U multiplied wrong @hallow crystal
coral ore
Yeah I know it's just that if I get confused sometimes I go through every single minute step to see if I did anything wrong
hallow crystal
7/5x=7 and then u multiply 5/7 both sides
@snow hornet
[7/5]/7
(7/5)7/1
(5/7)7/1
(5/1)1/1
5/1
5
You’re supposed to flip the first one around right?? Or does it not matter
hallow crystal
yayyy
snow hornet
I saw it wrong mb
hallow crystal
Wait....
snow hornet
Sup
hallow crystal
7 = 7/5x
——————
7
——————
1 = 5
@hallow crystal
I was supposed to divide by 7/5 instead of 7 wasnt i ??
No wonder my dumbass wrote 1 instead of 5
snow hornet
Yeah
hallow crystal
and 5 instead of x
So is my answer wrong? Cuz then that would’ve made 7 the fraction that gets flipped around
Or wait wouldn’t that give the same answer
Does it matter which one’s flipped
Lemmie check
snow hornet
X=5 and then from there, plug into original equation which was 8=x+y
U flip the one ur dividing
So like
If its
snow hornet
8/7x=5 u flip 8/7 so it would be x=5(7/8)
hallow crystal
@snow hornet now to solve for y do I plug in or do I do the same thing I did with x and make two equations equal each other?
hallow crystal
Why not do what I did with x
snow hornet
bcuz u already have x
hallow crystal
Why not make equations for y also
hallow crystal
Oh so I COULD do equations for y but it’s easier to plug in?
hallow crystal
all u need is 1 variable to get the 2nd one
@snow hornet
But it’s different with 3 variables right
hallow crystal
@snow hornet
4x+9+10y-1 = 5x+11y
4(5)+9+10y-1 = 5(5)+11y
20+9+10y-1 = 25 + 11y
28 + 10y = 25 + 11y
-25 -25
——————————-
3 + 10y = 11y
- 10y -10y
——————
3 = -1y
———-
-1
-———-
-3 = y
🥺
snow hornet
uh
snow hornet
ye
hallow crystal
God fuck finally
The fact that this is one of several questions on a 30 minute quiz 
hallow crystal
HUH
thats the long way xD
@snow hornet
I used the long way to solve for y? 😧
@snow hornet
Don’t die on me
🥺
snow hornet
ye
hallow crystal
Whaaa
I thought substitution was the short way 🥺
Substitution is plugging in right
And elimination is making two expressions into an equation?
Which is what I did for x?
@snow hornet 
snow hornet
u can do that but
if u know what x or y is already might as well substitute into main equation
@hallow crystal
sorry im helping this dude explain about pc
hallow crystal
if u know what x or y is already might as well substitute into main equation
@snow hornet
Wait what’s the main equation ?! I thought the main equation was
4x+9+10y-1 = 5x+11y
?!
snow hornet
x+y=8
hallow crystal
x+y=8
@snow hornet
....
hallow crystal
@snow hornet this right? 😄
upper karma
can i ask a physics question here ?
umbral sparrow
upper karma
ok
somber coyoteBOT
wet grotto
So im having trouble with this question. I really dont know how to setup the equation to solve for width and length in this case. Could I get some help😃
hollow raven
Ok
So we know that the width is w
and the length is tw
therefore, the area would be tw * w
so we know our area = tw^2
Now, the best way to go after this problem is to create an equation for each column isolating the length, the width, and the area
For instance, if I wanted to find the width, I can do:
2w + 2tw = 2400
2w (1 + t) = 2400
2w = 2400/ (1+t)
w = 2400/ (2(1+t))
w = 2400/ (2t+2)
So now I know an equation to find the width.
so if I wanted to plug in 1, for example
I can easily just do
w = 2400 / (2*1 + 2)
w = 2400 / 4
w = 600 m
You can change the equation above to find out the other values too ^^^^^
So you don't need to use multiple equations if you dont want to
upper karma
can i ask one here too
Go to #old-network there's a physics server for physics problems
hallow crystal
Is there not other way to find GS besides distance formula? I don’t wanna have to deal with a radical while plugging the values into the triangle area formula, and I can’t count the units because it’s a slanted triangle
upper karma
got it
hallow crystal
My bad I forgot to say I’m referring to the triangle problem
hallow crystal
that’s smart omg but it doesn’t have a right angle 😭
F
Doesnt Pythagorean theorem apply only to right triangles? This one’s slanted
Lemmie fact check that
hallow crystal
“The converse of the Pythagorean theorem is a rule that is used to classify triangles as either right triangle, acute triangle or obtuse triangle. ... For an acute triangle, c2< a2 + b2, where, c is the side opposite the acute angle. For a right triangle, c2= a2 + b2, where c is the side the 90-degree angle.” Technically ur not wrong, it’s just that we wouldn’t get an exact answer since there won’t be an equal sign since this is an acute angle rip
upper karma
you can find the range of GS but not GS
hallow crystal
Yea, guess I’ll just simplify the radical and plug it in to see what I get
hallow crystal
Yea, I guess there’ll just be a radical in both my answers F
covert rune
@hallow crystal To find GS use Pythagorean Theorem
To find area use Altitude-base theorem
hallow crystal
you can only find out PG without distance formula
@upper karma
and SP lol
which grade are you in ?
@upper karma
Taking geometry honors as a freshman kekw
@hallow crystal To find GS use Pythagorean Theorem
@covert rune
But I’d only be able to find the range then, since it’s an acute angle I’d have to use the
c squared < a squared + b squared formula
rather than the
c squared = a squared + b squared formula which is only for right triangles
To find area use Altitude-base theorem
@covert rune
And that’s the formula I wrote down on the bottom left corner of the image I sent right? A = base(height) divided by 2
Wait A means area not altitude 😀
covert rune
GS stays the same whether you write the triangle as a right triangle or an obtuse triangle.
hallow crystal
GS stays the same whether you write the triangle as a right triangle or an obtuse triangle.
@covert rune
huh? Why would I write it as obtuse or right when it’s acute?! :0
covert rune
Triangle SPG is an obtuse triangle because angle SPG > 90 degrees
We form right triangles in order to use the Pythagorean Theorem
By the way, the coordinates for your point P should be (1,-4) not (2,-4) so you need to check your perimeter again
hallow crystal
By the way, the coordinates for your point P should be (1,-4) not (2,-4) so you need to check your perimeter again
@covert rune
Oh I wrote it down right on the distance formula work on the right I dunno why I messed up on the grid 😭
Triangle SPG is an obtuse triangle because angle SPG > 90 degrees
@covert rune
Oh my bad,
But I still won’t get an exact value for GS, whether it be in number form or radical form
covert rune
You can find GS by forming a right triangle on points G,S,(2,-4)
upper karma
I need help with math in vc
thorny aspen
i need help with an algebra 2 test anyone pls im desperate
silent plank
Alg 2 isn't geo.
we can help with review, not the actual test.
silent plank
wicked slate
mellow sand
wrong channel should use #proofs-and-logic
p => q means p implies q
think of it like an if-then statement
if p is true then q is true which is true
polar sequoia
I am stuck on this problem and didn't know whether to classify it as Algebra or Geometry
Or proofs and such
Mainly the first one is the one I am struggling with
high shell
It's what's given.
polar sequoia
I need to prove it, at least it says that. How am I supposed to prove it if it is given?
That is the aspect I am stuck on
If it is given, is it already proven? If so, what am I supposed to out down, just that it is given to me already?
high shell
You don't need to. Reason 1 is "it's given".
polar sequoia
Oh, ok. That is way simpler than what I was thinking
I'm a bit of an over thinker, sorry
upper karma
i am told the ones marked purple are wrong, id like some advice to know what ive done wrong
silent plank
what's with that numbering on the left
in the 4th line, you are replacing <PQR with 90°
mellow sand
I think they want it to be substitution
mellow sand
such a weird way to do two column proofs; normally given is at the top
silent plank
many people state given stuff right before using that property
mellow sand
hmm I guess I've been doing them wrong then
silent plank
which parts were initially given
jagged relic
surreal bolt
You should verify the picture with someone.
torpid lark
west basin
it start by solving for x
you know that both legs are equal so both the angles that arent 4x+10 will be equal
so 2(x-2) + (4x+10) = 180
solve for x
then 3y+(x-2) = 180
you can solve that once you solve for x
civic fiber
@west basin i did the first one the triangle didn't add up to 180
after finding x
<@&286206848099549185>
silent plank
show work
civic fiber
nvm i figured it out mb
flint crypt
Can anyone help me with this piece of the homework I am not familiar to it unfortunately I would appreciate if I can get some help/answers
daring marlin
what distance do you travel when swimming through the pool from one angle to the opposite
plz help
west basin
use Pythagorean theorem
and thats actually a 3-4-5 triangle just each side is multiplied by 4
daring marlin
wait wut
high shell
for example, you can solve the system of these two equations, and see what kind of solution you get
no solution means they don't intersect (and so are parallel)
infinite solutions means they are the same line
one solution means they intersect (and the solution is the point in which they do so)
brittle turret
solve the system as in factor and finding values for x?
high shell
Solve the system as in find such (x,y) pairs that fullfill both equations at the same time.
Another way, though it's connected to the first, would be looking at the equations and writing down their normal vectors: (3,1) and (6,2)
they are parallel, so the lines also are - so you only need to check if they are the same line.
brittle turret
oh okay I think ill do the vectors method haha
upper karma
I think 5 planes contain the point E but im not sure can anyone correct me if im wrong and explain why
?
dark sparrow
this question is vague and as stated imma say there is an infinite number of planes in space which contain E
dark sparrow
a plane exists regardless of whether or not you draw it and/or can define it in terms of the labels you have
anyway
upper karma
okie but if we were just lookimg at what planes are drawn?
dark sparrow
only one plane is drawn explicitly: W
and it doesn't contain E
so the answer would be zero in that case
i'm guessing the question SHOULD'VE been
How many planes contain the point E and can be defined in terms of labels present on the diagram?
upper karma
so the sides of the triangle dont count as planes?
dark sparrow
in which case the answer is 4
cause those planes CAN be defined in terms of the present labels
all i've been doing here is criticizing the wording of the question
upper karma
oh okie so it should be 4 but which plane doesnt contain point E?
bc there are five in total
dark sparrow
i already said it, if you reread what i've said
upper karma
oh okie ill reread it i apologize
oh sorry I didnt read it carefully the first time i know understand thanks
so plane W doesnt contain E right?
upper karma
okie makes sense thanks for the help
if <A and <T are complementary and <T is three times the measure of <A. to figure out <A would I set it up like...
x +3y = 90°?
?
<@&286206848099549185> Hi the question above me is concerning angle relationships and Id appriciate if anyone has the time to quickly guide me or check the work done, thank you :)
I see what you are trying
But we need to create a system of 2 eqn not one
eqn?
Equation
oh
With the 2 pieces of information given
okie so could i have y=30 - 1/3x?
and plug in?
Plug in what? I still don't see 2 equations
You have kind of mixed both into one?
Which isn't exactly correct
wait im a bit confused on how to set this up sorry
As well from noticing that you have 2 variables on 1 eqn
Don't be sorry
Okay
So what are the 2 pieces of information given
Individually
x and y are both equal to 90°
Right
Well
and y is is 3 times x
oh so y = 3x
?
What have you called A or T
But yeah the idea is exactly that
A is x and T is y
okie so id have x + 3x = 90
and just solve from there?
Hold up a sec
okie its alr
Yes exactly
okie and now ive come hp with x being 22.5?
,calc 90/4
somber coyoteBOT
Result:
22.5
Yeah
okie and now we already established <A is x so <A is 22.5?
Yeah
okie thanks for the help
Yw
uncut spade
Hello, I would like to find the greatest distance from a point inside a cuboid to any of its sides/corners
untold coyote
upper karma
What?
vapid slate
[LS[LSS
upper karma
@eager hatch consider complementary angles properties
eager hatch
The 2 angles add to 90
use y=90-x
@paper vale so on the other one do I set up to be y=140-2x?
I’m so confused
verbal harbor
pearl comet
Anyone wiling to be my math tutor tomorrow I’m in 10th grade geometry learning equalities and find x and y
noble shadow
@pearl comet i will
final escarp
Anyone help me plz this is my homework question
I tried combining them together to make it equal to 180 but that didn't seem to work
final escarp
<@&286206848099549185>
west basin
It wants the greatest value x can be where (6x-2) + (3x+11) < 90
you might want to find the lowest obtuse value that 11y-2 can be
and use 180 minus that value = (6x-2)+(3x+11)
final escarp
thx so much
high geode
sin(cos-1 2x) Does anybody know how to write that in an algebraic expression?
mossy valve
do you guys know what this means
mossy valve
ohh
i thought m was one of the points
since there was an m point in the image that i didnt put
bronze jewel
9x+8y=-64 write the slope intercept form of the equation of each line
is the answer 0
thorn linden
you're writing the slope intercept form of 9x+8y = - 64 right?
bronze jewel
uh the question is
hollow raven
slope intercept form is just y = mx + b
All you need to do is to get just y on the left side of the equation
bronze jewel
write the slope intercept form of the equation of each line 9x+8y=-64
so all i do is 8y=9x-64
hollow raven
Well, you are putting 9x on the other side of the equation
so it will become the opposite "sign"
so 8y = -9x-64
and the rest I think is self-explanatory
bronze jewel
so is the answer y=-9/8x-8
hollow raven
seems like it
hollow raven
x is an alternating angle to 75 degrees, x = 75
y is a coresponding angle to x, y = x = 75 degrees
y is also an opposite angle to 75 degrees, y = 75 degrees
hollow raven
last one @sleek thistle
sleek thistle
oh really?
that does not look like a right triangle hm
got confused
oh but the angle x is 90 degrees
west basin
it doesnt matter how it looks
you need to do it based on properties/math not by looks
for it to be square the diagonals must meet at 90 degrees
upper karma
Don’t give ppl free answers
Even if it’s for something as simple as geometric properties
paper vale
well when that is the entire question then there isnt much else to do
it is also easy to prove that this claim is indeed valid
flint crypt
Can anyone help me with some problems really quick please
upper karma
Just post it
upper karma
Hmm a test
flint crypt
this is a review on forms i just need someone to explain how to do it
upper karma
You need 2 sides and an angle pair for SAS
flint crypt
yes that is true but how would i know the answer
nocturne thicket
<@&286206848099549185>
nocturne thicket
helpers plz
pearl comet
upper karma
So when -x=-12 turns into x=12, what property is that please?
pearl comet
<@&286206848099549185>
pearl comet
I know! @upper karma
upper karma
What is it pls?
pearl comet
Is it multiple choice @upper karma
inland rock
Can anyone help me with this proof?
(the question marks are multiple choice if i click on them btw)
inland rock
<@&286206848099549185>
stark plume
I dont understand how wsin(theta) would be found with the given information if theta is equal to 55.
stark plume
yeah
I dont understand the trig aspect of it
@upper karma I dont see how w*sin(55) gives us that length
if its a hypotenuse
sin(55)=mg/x
Lets call WSin(theta)= A
This assumes A is an Adjecent or Oppossite side
But the way its drawn appears to make it a hypotenusae
Which is why im confused
upper karma
W is the hypothenuse, wsin(theta) is a leg and wcos(theta) is the other
Why do yoy think it's drawn to make it a hypothenuse??
upper karma
Ok gimme some minutes
stark plume
Yep Thanks
bitter jetty
how cud i prove this?
i think it has smth to do with law of cosines
but I can't figure it out
echo kernel
no you can use them to construct a bigger parallelogram
bitter jetty
wdym
echo kernel
like you can put them one side another to make another parallelogram
bitter jetty
@echo kernel what?
flint osprey
How far did you get with the law of cosines?
bitter jetty
@flint osprey i just did it for c and d
so c^2 = a^2 +B^2...
and same for d
and added the 2
flint osprey
And the result is?
pearl comet
Anyone wiling to hand me math answers only 10 questions
bitter jetty
no @flint osprey
pearl comet
Anyone good with equalities
flint osprey
What?
bitter jetty
idk what to do with angles
flint osprey
I asked what you know about them
bitter jetty
@pearl comet i dont thnk thats allowed lol
pearl comet
I know a little bit