help-23

[lapis breach]

@stiff kindle i do have like one more questioon if ur able to help out im so close to being done for today 💀

what do i do for the general equation of the area

[stiff kindle]

So, find an equation for the area after t=6, it should be easy since it is flat. And, the area upto t=6 is a fixed number you already calculated. So your total area will be "the constant upto t=6 + the equation for t>=6".

[lapis breach]

so its just going to be base time height

[stiff kindle]

yeah

[lapis breach]

100+10t?

i think that sound sright

[stiff kindle]

umm, that double counts for t from 0 to 6.

The 10t should be only for t>=6

[lapis breach]

isnt that what i did

wait

how do i make that distinction

i genuinely just cant think anymore i should stop working for tonight 💀

100+10(t-6)

[stiff kindle]

yep, that should work

note it is correct only for t>=6

[lapis breach]

yea

for this im just finding area under the line for each segment right

or am i tripping

[stiff kindle]

no you are not 🙂

[lapis breach]

bet so first one should jus be 50 right

[stiff kindle]

well s(t) is a function of t

[lapis breach]

20(t)

20 for however many t ther are

[stiff kindle]

yeah

[lapis breach]

bet thanks

i appriciate u man

been workng since 1130 am and its 1022 rn\

i think i understand it partially

hopeflly enough

we shall see

peace

.close

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[karmic shuttle]

can someone help me understand the proof of the dot product?
I understand all of it except for 1 part: why can the third side be expressed as v - w?

[median vigil]

that's how vector subtraction works: the subtraction vector points from one tip to the other

[echo bronze]

v-w is the same as -w+v. By doing -w you end up at the origin, and then use the vector v to reach the point

[digital leaf]

One would say this vector is "translated" to have its origin not at 0 but at the "end" of the vector w

[karmic shuttle]

wait

ok so Im doing it in my head

I apparently just forgot to translate it to the appropriate spot lol

welp thanks yall

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[dusty basalt]

whats a triangle number

[dusty basalt]

<@&286206848099549185> ...

[safe radish]

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[dusty basalt]

fact is, i did

now explain

why are people on this server so...

like

😭

[peak estuary]

imagine going to the doctor and saying "I am hurt". what is the doctor supposed to do with that. you have to be more elaborate on whats going on

[dusty basalt]

sorry guys my bad @peak estuary @young nexus 🙏

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[dusty basalt]

btw how do u get the honourable or helpful ole

role*

[rustic goblet]

#info has some role information

[dusty basalt]

do u apply for it or mods just see u help peope n give it

[rustic goblet]

Helpful is assigned automatically, by @safe radish

it is not known to the public how to decides to give out the role

[dusty basalt]

and honourable?

by mods?

[rustic goblet]

that one is hand picked, yeah

[dusty basalt]

thanks

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[final loom]

Find the odd one out:

a. 25 - 100
b. 69 - 2916
c. 42 - 64
d. 39 - 676

I wrote the factorizations:
a. 5² - 4.5²
b. 3.23 - 4.27²
c. 3.14 - 4.4²
d. 3.13 - 4.13²
but can't find anything specific.

[digital leaf]

I would say it is the first since its first part is not divisible by 3 whereas others are

But it depends on what do we call "odd"

[final loom]

Rightttt such an open ended Question

Here, I present thee an edited version of the Q

Find the odd one out:

a. 25 - 100
b. 69 - 2916
c. 42 - 64
d. 39 - 576

I wrote the factorizations:
a. 5² - 4.5²
b. 3.23 - 4.27²
c. 3.14 - 4.4²
d. 3.13 - 4.12²

Now you'll be amazed that a pattern does exist

But in the og Q ;-; I can't find one

[digital leaf]

The original q?

!original

[safe radish]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[final loom]

. This is the Q

Find the odd one out:

a. 25 - 100
b. 69 - 2916
c. 42 - 64
d. 39 - 676

[past birch]

is it A because 100/25 = 4 but the other 2nd number/1st number are decimals

[thin bridge]

if you managed to find a pattern from writing something equivalent
not sure what your issue is

[final loom]

Don't know Ans. Q came in a test, will get answers in 3 days

It's a MAT q

[thin bridge]

Now you'll be amazed that a pattern does exist
But in the og Q ;-; I can't find one
what pattern did you find

[final loom]

For this one, I have options A, B, D are 15+x - x²

[thin bridge]

where's x coming from

[final loom]

Unfortunately, the og Q has 676 in D, and not 576

[final loom]

HuH? Option A is 15 + 10 - 10²
B is 15 + 54 - 54²
D is 15 + 24 - 24²

[thin bridge]

what level is this question supposed to be from?

[final loom]

It's a mid school mat question

[thin bridge]

at a glance, consider 100= 10^2,

[safe radish]

@final loom Has your question been resolved?

[final loom]

Nevermind, I'd rather just wait till the solns are out than work on such an open ended Q ;-;
it was a q from my lil sister's AIATS assessment earlier today. Twas interesting so I wondered if there was a pattern

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[lean otter]

In this case I am wrong... When I get x = Dx/D that are all the colums after x colum in what order should I do it?

[safe radish]

@lean otter Has your question been resolved?

[lean otter]

<@&286206848099549185>

[safe radish]

@lean otter Has your question been resolved?

[lean otter]

<@&286206848099549185> wake up.

[fair matrix]

Can you elaborate what the problem is really quick?

I'm not sure if I can help, but maybe if you elaborated, another helper can help out.

[lean otter]

So I just replace the column that I am taking into consideration with the augumented column.

Np. At least thanks for reaching.

[safe radish]

@lean otter Has your question been resolved?

[lean otter]

@vagrant jolt

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@lean otter Has your question been resolved?

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[red summit]

I would appreciate help with another integral.

[final loom]

!show

[safe radish]

Show your work, and if possible, explain where you are stuck.

[red summit]

stuck on start

[final loom]

u = cos x helps considering how the entire expression in the denom is in cos

[red summit]

yeah and changing sin to 1 - cos

[final loom]

7 - sin² to 6 + cos², yes

[red summit]

ok and any idea how to reduce u sqrt + 2u + 6?

[final loom]

So you're left with $I = -\int \frac{\dd u}{(u+1)^2 + 5}$

[red summit]

exactly

[flat frigate]

Arya

[red summit]

yeah i found that but thats still not "integrateable"

[final loom]

Put u + 1 = √5y

[red summit]

ok dual substitution

[final loom]

So you're left with $I = -\frac{\sqrt{5} }{5} \int \frac{\dd y}{y^2 + 1}$

[flat frigate]

Arya

[final loom]

I hope you can see the way out from here

[red summit]

yeah thx much

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[lean otter]

Hey, I need clarification if this is correct or not, I am currently studying about index numbers

[safe radish]

@lean otter Has your question been resolved?

[lean otter]

nvm i found out

.close

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[maiden sable]

How would one find all of the variables. I’ve done this work before, but with exams coming up I’ve forgotten so much about everything else.

[loud wren]

transversal laws

you should also note that y+12+90-z=180 and that z+y-18=90, thus you have a system of equations

[maiden sable]

How would those work? I have a bad teacher and many focus issues, along with skipping two years of math so I never learned this haha

[blazing palm]

Isnt it easier to use (y - 18) + (y + 12) = 180?

[loud wren]

also, supplementary angles are 180 degrees

[loud wren]

well yeah

but its better conceptually to introduce this first imo

[maiden sable]

Oh this stuff. We never learned it by name

Which is why I can just look it up

[loud wren]

u should know it tho

if ur gonna have it on an exam

[maiden sable]

Bad teacher, I have autism and adhd

[loud wren]

ok

[maiden sable]

Which is why I’m getting random people on discord to help me

😆

[loud wren]

ok tell me this then

what should the angles in a triangle sum to

[maiden sable]

180

[loud wren]

huh

oh ok

so you know what that little square means?

[maiden sable]

Yes

I just… skipped past this part

I can do it with squares easily, I just have trouble applying it with triangles because it was never blatantly explained to me

Z+the supplement of y should be 90°.

[maiden sable]

Thank you this is what I was looking for. Can you explain why?

[loud wren]

yeah

[loud wren]

its transversal theorems but its a bit more complicated

[blazing palm]

Same-Side Interior Angles Theorem

[loud wren]

which is why i opted to introduce the other system first

because its a more basic concept

[maiden sable]

I know conceptually what the answers are, I was (attempting) to ask how these ideas work

If I understand how they work, then it’s easier for me to remember then for exams

[maiden sable]

I’ll research into it, thanks mate

[blazing palm]

Most transversal theorems are used to show that angles either add up to 180 degrees, or are congruent

[loud wren]

let me draw some!

[maiden sable]

Thank you! It’s nice to be helped without judgment of my friends calling me stupid

[loud wren]

stuff like this for example

ill have an example of the one in the problem in a few mins

[maiden sable]

Oh that’s right! The z shape, the x shape,the f shape. I did those in geometry back in eighth

It’s been a while, thank you so much. I might just chill here while I do work just in case, thank you.

[loud wren]

lmk if u have any doubts

[maiden sable]

I got… worse parts coming up so it’ll be a bit

[loud wren]

k

[safe radish]

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[golden bluff]

given T : V -> V, show that Ker T = (Im(T*))⊥

[golden bluff]

so i started by taking a v from Ker T, I need to show that v is orthogonal to every vector in Im(T*) right? meaning that for any u in V, <v, T*u> = 0

so <v, T*u> = <Tv, u> = <0, u>

[light shoal]

yep so far so good

[golden bluff]

but that means that V must equal {0}

so there must be something wrong

[light shoal]

why do you conclude V is {0}?

<v, T*u> = <Tv, u> = <0, u> = 0

that shows that v and T*u are orthogonal

[golden bluff]

because how else can <0, u> be 0 for any u in V?

[light shoal]

but of course that is true

the inner product of 0 with anything is 0

[golden bluff]

why

[light shoal]

you can show it a couple of ways

[golden bluff]

<0, (1, 2)> = 1 + 2 no?

[light shoal]

for example:

<0, u> = <0+0, u> = <0,u> + <0,u>

now subtract <0,u> from both sides

[golden bluff]

but how about this then

[light shoal]

(1,2) is what, a vector in R^2?

[golden bluff]

yeah

[light shoal]

well what's the dot product of the vector (1,2) with the zero vector (0,0)?

that's what <0, (1,2)> means

(assuming the standard inner product in R^2)

[golden bluff]

but the standard inner product is define das

[light shoal]

yes

[golden bluff]

meaning this would be 3

not 0

[light shoal]

in this example, y1 = 1, y2 = 2

and x1 = 0, x2 = 0

[golden bluff]

yes

[light shoal]

so,

[golden bluff]

oh

product

oh my god

lmao

[light shoal]

yep haha

[golden bluff]

thanks

[light shoal]

yw

[golden bluff]

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[haughty sonnet]

So these formulas are all correct can someone confirm

Was a little confused on modulus but I had a go

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[loud wren]

looks good!

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[south pendant]

the asymptotes of a tan graph don’t change so long as there isn’t a horizontal shift right?

[south pendant]

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[loud wren]

yes

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[trail otter]

how to rigorously justify that $\lim_{n\to\infty}\frac{\ln^7(n+1)}{\ln^7 n}=1$?

[flat frigate]

Slowaq

[empty gyro]

define "rigorously"

[trail otter]

nevermind chatgpt did it as i intended

but i meant that it could be foolproof

[lusty ridge]

darn it just as i was starting to type

[trail otter]

sorry

[lusty ridge]

also chat gpt sometimes will tell u nonsense

yeah correct

[trail otter]

but this is the main idea

[lusty ridge]

once told me 6 isn't an integer, fun times

[trail otter]

yes im fully aveare of that

xd

anyway

[lusty ridge]

correct

[trail otter]

sorry for taking up your time

thanks for help

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[real imp]

yo

[real imp]

39.523 rounded to one decimal place is what

[hardy monolith]

39.5

[real imp]

how

[empty gyro]

because there's only one remaining number (5) that comes after the decimal

[real imp]

ok then

whats is it rounded to 2 decimal places

nvm

what is

0.007831

to 4 decimal points

[desert swallow]

The way I was taught this in primary:

Take 0.007831
place a bar 4 digits after the decimal point
0.0078|31
if the digit after bar is 5 or more, add 1 to the digit before the bar (taking care of carrys if needed)
once you've done that, discard the digits after the bar

[real imp]

what if its a question like 9.999

[empty gyro]

and you want 4 digits?

[real imp]

to 2 decimal places

[bronze gust]

10.00

[real imp]

ok but how

this one is a lil different

from the other questions

[bronze gust]

It's just a carry chain

9.999
We look at the third d.p,and it is clearly greater than 5

So we need to round up to the nearest d.p

But by rounding up, we need to carry over to the 1st decimal place

But when we carry over to the 1st decimal place, it also needs to carry over to the ones place

[real imp]

thanks

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[worthy blaze]

in the second step, why does the -1 show up before the sigma?

[loud wren]

they removed a term.

actually, no, they added one.

[worthy blaze]

huh? cause the 4 just stays but idk why they just pulled out the -1

[loud wren]

namely, they added $4\qty(\frac{e}{\pi})^0$.

[flat frigate]

;(

[loud wren]

which, obviously, is 4, hence they subtracted 4.

[worthy blaze]

ooh

[loud wren]

there’s also a...better way to do this problem.

[worthy blaze]

wait but why the -1 then?

[loud wren]

$\frac{a}{1-r}$ where $a$ is the starting term (pluggin in the lower bound) and $r$ is the ratio

[flat frigate]

;(

[loud wren]

4(-1)=-4.

you must subtract what you add in order to keep it the same.

[worthy blaze]

is it then a = 4 and r = e/pi?

[loud wren]

no, it’s a=4e/pi.

plug in n=1 into the formula they give.

[worthy blaze]

im confused what would r then be

so then 4 * (e/pi) / (1 - (e/pi))?

sorry i still dont understand where the -1 came from actually

[neat kiln]

What is (e/pi)^0?

[worthy blaze]

1

but why would it be -1?

and infront of the sigma?

[neat kiln]

They just added 1 (n=0) so it -1 is necessary to balance it

[worthy blaze]

oooooh i seeee it!

Thank you so much!

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[thorny moon]

question : Solve the quadraƟc (x − 1)ଶ − 3x + 4 = 0. Give your answer correct to
two significant figures.

why is 1.382 rounded to 1.3
isnt it 1.4

[hard crest]

it should be rounded to 1.4

[thorny moon]

so its a mistake right

[hard crest]

yes

[thorny moon]

i was getting so confused

thanks

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[livid swan]

i have proved some similar triangle couples: AED and HEC, AED and ABC, angle ACD = ADE and AB^2 = AE x AC. I need to prove angle GDA = HDC

[livid swan]

i have also proved that AK is perpendicular to DC at K as well

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@livid swan Has your question been resolved?

[safe radish]

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[blazing cloak]

what does this even mean lol

diploma practice, this a old unit

[terse moat]

-1.26

[blazing cloak]

How lol

i dont get anything

[terse moat]

To find the y-intercept of y = f⁻¹(x), the x-value for f(x) = 0 was calculated. Solving 4(1/3)ˣ - 16 = 0 gives x ≈ -1.26, which is the y-intercept for the inverse function.

[blazing cloak]

Where did the = 0 come from? is it always there in a f(x) function?

[terse moat]

The = 0 comes from finding where f(x) = 0 because the y-intercept of y = f⁻¹(x) occurs when x = 0 in the inverse.

[stark patio]

the y intercept of the inverse function would be the same as the x intercept of the original function

[blazing cloak]

Oh ok

[stark patio]

which occurs when f(x) = 0

[blazing cloak]

that makes sense

so just solve when x = 0

[stark patio]

when f(x) = 0

[blazing cloak]

.close

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[blazing cloak]

@stark patio

Why is it C and not A?

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[hexed vigil]

im doing practice tests for logical reasoning. i am really struggling to find patterns. in any of them, how does one get better at these

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@hexed vigil Has your question been resolved?

[hexed vigil]

<@&286206848099549185>

[fair matrix]

I feel a bit of practice may help.

[hexed vigil]

i dont know where to start

like how do you begin to be like oh maybe it could be this pattern

[fair matrix]

OK, what patterns are you trying to identify?

[hexed vigil]

im not sure

this is the full question

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[jade tinsel]

I'm not sure how to work with a function that can't have a inverse. It gives me an input [0,4, but I'm not sure if I should create a function...

[jade tinsel]

I know that if this graphed function did have an inverse, you would just flip the input/output OR [0,4]

My lesson plan never taught how to create a function purely on a graph. Kind of wondering if creating my own fucntion is going to far and I'm overthinking things.

[viscid gyro]

Just think that for this graph the x axis has changed to y axis and vise versa

That would be the inverse function

So the domain of a inverse function would be the range of the original function

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[versed pendant]

I got 86.5, just to check

[versed pendant]

I got a new answer, 85.5/sqrt(346), can anyone check for me?

<@&286206848099549185>

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[versed pendant]

.close

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[slate ore]

Hello, i managed to do most of the parts correctly here its just that i dont even know how to start with part d

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@slate ore Has your question been resolved?

[slate ore]

<@&286206848099549185>

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@slate ore Has your question been resolved?

[plucky elk]

drawing a picture is a good start

[slate ore]

Like this?

[plucky elk]

i mean it has to relate to the rest of the problem

[slate ore]

Okok one sec

[plucky elk]

why does M have coordinates (4,3)

and why does M have a lower y value in your picture

[slate ore]

Its a previous part in the question

[slate ore]

Woops yeah mb

[plucky elk]

use distance formula and slope of l2 to find distance AM then use that distance to extend along l2 to get C

[slate ore]

Wait but how would that give me c as coordinates

Bear with me am a bit slow

[plucky elk]

length AM = length MC

[slate ore]

Yeah okay

[slate ore]

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[pine forge]

Hi apparently the answer is 2 but I don't understand waht specifically the question is asking

[hardy monolith]

you need to find the points where the derivative (slope) is 1/2

if you look at the segment on the right from 5 to 9

thats all slope 1/2

[pine forge]

Ohh I see, so then it would be 2 because it does it twice from 5 to 9? And they're trying to get you to check each consecutive point's aroc first?

[echo bronze]

I don't think that's what it's asking

[pine forge]

Like youd check -2 to 1's aroc and then 1 to 5's aroc and so on?

[echo bronze]

We start at x=-2 and end at x=b

[pine forge]

How would I get 2 from that?

[hardy monolith]

ah i see, youre right

mb

i didnt read the second half lol

[neat patrol]

find the point where the function is at x=-2, then draw a line with slope 1/2 starting at that point

every time it hits the function, the aroc=1/2

aroc from two points of a function can be calculated as the slope of the line between the two points

so we can work it backwards knowing the slope and one of the points to find the second point

[pine forge]

Ohh I see okay thanks! So if it was like y=1/3x or y=1/6x, whenever the graph hits that slope, it means each of those points have an aroc of that slope?

[neat patrol]

yeah, you would draw a line with slope equal to the aroc and count the number of times the line hits the function (not including the starting point)

[pine forge]

Okay thanks!!

.close

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[flat linden]

Need some help solving this I am stuck at a specific point and don't know what to do next

[hardy monolith]

!show

[safe radish]

Show your work, and if possible, explain where you are stuck.

[flat linden]

Also x>0 therefore y can't be 0

[hardy monolith]

!ss

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[flat linden]

?

Is it now considered a ss?

[flat linden]

I got this from x=y^2 and x,y can't be 0 together because from the first question 0^0 is undefined

Nvm I found it

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[patent summit]

I have no idea where to start. Any hints?

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@patent summit Has your question been resolved?

[patent summit]

<@&286206848099549185>

[plucky elk]

,tex .sum diff trig

[flat frigate]

riemann

[plucky elk]

use the bottom equation

and uhhhh

,tex .reflect trig

[flat frigate]

riemann

[plucky elk]

180deg = pi radians

[fathom jewel]

riemann providing everything

[delicate briar]

Write that tan(a+b+c)=0

And then use your formula for tan(x+y)

[safe radish]

@patent summit Has your question been resolved?

[patent summit]

Okay I will try that Tank you

[west crow]

HI somone understand integral has parametre??

[patent summit]

If this is a question go to an open help server

Thanks for the leads I was able to solve it

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[delicate briar]

Yes

[west crow]

do u speak frensh

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[west crow]

do u speak frensh

[safe radish]

Please don't occupy multiple help channels.

[delicate briar]

I do

[west crow]

ok look

at the first

exercice

https://www.bibmath.net/ressources/index.php?action=affiche&quoi=bde/analyse/integration/foncdefintegrales&type=fexo

est ce que tu me explique comment monter quelle est define et continue

@delicate briar cad cette chat

[delicate briar]

Le premier ?

[west crow]

oui

[delicate briar]

En gros tu montres que pour tout x c’est intégrable, juste tu dis que |sin|<=1 et que 1/(1+t^2) c’est intégrable sur 0 +inf

[west crow]

si est integrable sur 0 à +inf

[delicate briar]

Et pour la def il faut que tu domines par une fct g(t) intégrable sur [0,+unft[

[west crow]

alors il est bien difine

[delicate briar]

Ouais

Faut juste que l’intégrale ai un sens

[west crow]

que ce que une fonction

integrabl

ee

[delicate briar]

C juste une fonction tq l’intégrale de son module converge

[west crow]

ok

et comment montrer que est continue

[delicate briar]

Mais tu connais le thm de convergence dominée ?

Fin ou alors un thm pour prouver qu’une fct def par une intégrable a param est continue ?

[west crow]

non

c est qoi def

??

[delicate briar]

Définie

[west crow]

att tu a un insta

[delicate briar]

Sinon vient dm discord

[west crow]

ok

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[indigo lodge]

how does the 3/cos theta = 5/sin theta turn into sintheta / costheta = 5/3

[hardy monolith]

,tex .butterfly

[lament blaze]

multiply the sin over, divide the 3

[flat frigate]

Bonk

[indigo lodge]

oh is this just like a rule we have to remember or smt

[lament blaze]

no its just a shortcut for the algebra

multiply by sin on both sides

divide by 3 on both sides

you get this

[indigo lodge]

how would you divide by 3 if 3 is the numerator

[lament blaze]

fractions are just divison. 3/cos(x) means 3 divided by cos(x)

[indigo lodge]

ohhhhh

wait

I swear you can't like divide by the numerator though😭 unless U get rid of the denominator first

[lament blaze]

you can

[indigo lodge]

oh

h

[lament blaze]

$\frac{3}{\cos(\theta)} = 3\cdot\frac{1}{\cos(\theta)}$

[flat frigate]

Karma

[indigo lodge]

what's this step

[lament blaze]

its not a step its an equivalence, hence the equal sign

they are the same thing

[indigo lodge]

Ohhhh

oh wait I kinda get it

they never taught us this in school😭

[lament blaze]

they did

[indigo lodge]

not in mine💔

[lament blaze]

you cant teach the infinite ways to represent every infinite expression its up to you to recognize how the properties work

[indigo lodge]

yah

[lament blaze]

fractions are division, therefore 3/cos = 3 divided by cos

3 = 3*1

if you know all of this

[lament blaze]

you know this

[indigo lodge]

Yah

ohhh

okok

thanks for the help

😇

[lament blaze]

yeah

[indigo lodge]

.close

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[lament blaze]

np

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[scarlet pivot]

I need help

[fiery merlin]

Hello. What do you need help with?

[scarlet pivot]

I need help with my math

[high isle]

Give the problem first

[hardy monolith]

!da2a

[safe radish]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[scarlet pivot]

Oh

It’s a geometry problem

Do I send pic

[high isle]

Send like screenshot

[marsh walrus]

Yea

[high isle]

Yeah

[scarlet pivot]

K

[hardy monolith]

Too many cooks in the kitchen guys

[marsh walrus]

,rotate -90

[scarlet pivot]

I’m like struggling

13 and 14

Uh

What happens now

[severe pond]

is a…

[fiery merlin]

Are they just labelled quadrilaterals or are they like parallelograms?

Yeah, what words come after "is a..."?

[scarlet pivot]

eh

There

[fiery merlin]

It gets cut off at the end of the instruction "Find the values of 'x' and 'y' to ensure that each quadrilateral is a...".

[scarlet pivot]

Where did the photo go

[fiery merlin]

,rccw

[fiery merlin]

OK, so it's a parallelogram.

[scarlet pivot]

Yes

[fiery merlin]

One thing about parallelograms is that the opposite angles are equal.

[scarlet pivot]

Yes

[fiery merlin]

Like it'll be angle A, then angle B, then angle A again, then angle B again.

[scarlet pivot]

I know how to do it I just need to know the equation

[fiery merlin]

So, what angle is opposite from 30 degrees?

[scarlet pivot]

6y?

[fiery merlin]

OK, so 6y = 30.

Because they're the same angle.

So they're equal.

[scarlet pivot]

ahhh smart

So that would be 5=y

[fiery merlin]

Right.

[scarlet pivot]

YOOO

I get it now

Wait

Gimme 1 min to write it down

[fiery merlin]

OK.

[scarlet pivot]

Then

X

[fiery merlin]

OK, so you can write 5x + 10 degrees in the upper left corner too, since those angles are equal.

[scarlet pivot]

Mhm

[fiery merlin]

Then, you'll have 30, then 5x + 10, then 6y, then 5x + 10.

[scarlet pivot]

But my teacher told me never write that if you don’t know

How do we know it’s actually equal

[fiery merlin]

Oh, here you do know. They're opposite angles.

[scarlet pivot]

oh right

[fiery merlin]

The upper left corner is what I'm talking about.

[scarlet pivot]

Oh

[fiery merlin]

It's opposite from the lower right corner.

So, it's equal to that.

[scarlet pivot]

So to find X we would do 5x+10= what

180

?

[fiery merlin]

Now the trick here is that the inside angles of a parallelogram add to 360 degrees.

[scarlet pivot]

Yes

Right

[fiery merlin]

So, write the angles all added together and set it equal to 360 degrees.

[scarlet pivot]

180 would only be one side

[fiery merlin]

Right.

You can do that too.

[scarlet pivot]

So

[fiery merlin]

Whichever way is easiest.

[scarlet pivot]

5x+10=360

[fiery merlin]

No, you need both the angles on one side.

[scarlet pivot]

wait

[fiery merlin]

Oh, with 360, you need all four angles.

[scarlet pivot]

yeah

[fiery merlin]

So, write all four angles added together.

Then write = 360.

[scarlet pivot]

what was the other way

[fiery merlin]

The angles on one side added together = 180.

[scarlet pivot]

so

oh wait

nvm

I know

Lemme write

Got it

now

the next one

,rccw

[flat frigate]

Couldn't find an attached image in the last 10 messages.

Jan 14, 2025, 1:18 AM

[scarlet pivot]

alright so

same thing

but

for X

[fiery merlin]

,rccw

[fiery merlin]

rccw means rotate counterclockwise.

[scarlet pivot]

3x-y+28+113=360

No

Wrong

[fiery merlin]

OK, I don't think that the written in 28 and 113 are correct.

[hushed forum]

It kinda looks like a parallelogram ngl

[fiery merlin]

Oh, it says it is.

[scarlet pivot]

Yeah

[fiery merlin]

Find x and y so that each is a parallelogram.

[hushed forum]

I hated my geometry teacher

[scarlet pivot]

me too

I hate her rn

she makes me think to hard

[hushed forum]

I shouldve locked in in geometry earlier

I failed the regents with a 62

[severe pond]

new yorker

[hushed forum]

Still got into alg 2 somehow 🙏

[fiery merlin]

You see the two angles without numbers in them?

[scarlet pivot]

Not ti be rude or anything but can you just give me the equation and I’ll solve it cause I really gotta study for my geometry quiz, AP Geo test, and AP Bio test rn and it’s alr 7:22 pm

but if no that’s fine

[fiery merlin]

Well, we can get that pretty quick.

[severe pond]

AP geo??

[scarlet pivot]

yeah

And AP bio

[hushed forum]

How u even do this i forgot

[fiery merlin]

Do you see the angles that aren't labelled?

[severe pond]

since when is ap geo a thing lol

[scarlet pivot]

shhh

stop typing

im tryna learn

From him

[severe pond]

oh you mean human geography

[scarlet pivot]

yes now shush

T. rex dude you there

[fiery merlin]

Yes.

[scarlet pivot]

so

[fiery merlin]

Do you see the angles that aren't labelled?

[scarlet pivot]

yeah

[fiery merlin]

They're the same angle, so mark them as z degrees.

[scarlet pivot]

Alr

[fiery merlin]

OK, now you have the upper left corner = the lower right corner.

[scarlet pivot]

So

[fiery merlin]

113 + 28 = (3x - y) + (14x + 1)

[scarlet pivot]

what the actual flip

alr

[fiery merlin]

You also have two triangles.

[scarlet pivot]

Yeah

180

So 180-113

ugh

[fiery merlin]

113 + z + (3x - y) = 180
28 + z + (14x + 1) = 180

Or you can put them together.

[scarlet pivot]

I wanna right hook my teacher

[fiery merlin]

113 + z + (3x - y) = 28 + z + (14x + 1)

[scarlet pivot]

Yeah no

[high isle]

Which problem

[scarlet pivot]

First one

[fiery merlin]

Number 14.

[high isle]

Bet

[fiery merlin]

So we have two equations.

[scarlet pivot]

yeah

[fiery merlin]

We can get rid of the z in the second one.

[scarlet pivot]

But how does X and y

[fiery merlin]

By subtracting it from both sides.

[high isle]

can’t you just use alternate interior angles

To solve it

[scarlet pivot]

no

[fiery merlin]

Yes, that's possible.

[scarlet pivot]

no

Don’t

[fiery merlin]

I don't know if they know that yet.

[scarlet pivot]

Wait

I do

-_-

[high isle]

113=14x+1

[high isle]

Sushi, right?

[fiery merlin]

Oh, then the triangles are the same as each other.

[scarlet pivot]

yes

EXACTLY

BRO

THATS THE

EQUATION

TYY

TY

TY

[high isle]

What?

[scarlet pivot]

TY

[high isle]

????

[scarlet pivot]

INGOT IT

I GOT IT NOW

[high isle]

What lmao

[scarlet pivot]

WAIT

[fiery merlin]

OK.

[high isle]

X=8 btw

Sorry for sniping t rex 😭

[fiery merlin]

The shared side between the two triangles has angles on one triangle that equal angles on the other triangle.

No, that's fine.

[scarlet pivot]

I GOT IT I GOT IT

[high isle]

I’ll leave it to you though

lol

[scarlet pivot]

CAN I KISS YOU

ONG

OMG

I GOT IT

YOOOO

yeah what the flip

[high isle]

3x-y=28

X=8

[scarlet pivot]

Ik

[high isle]

Huh

[scarlet pivot]

Ik how to do it now

[high isle]

Y is neg?

[scarlet pivot]

Wait

Yes

-4

[high isle]

What’s the answer then

lol

[scarlet pivot]

-4

but how

[high isle]

So 20 degrees

[scarlet pivot]

how did I get -4

[high isle]

Wait nvm

[scarlet pivot]

Wait

I got it

[high isle]

So did you get this

[scarlet pivot]

Wait

[scarlet pivot]

isn’t y just 4

Not -4

[high isle]

You rly don’t need to solve it lmao

[fiery merlin]

Well, try it.

[high isle]

Its just 113+28+n=180

[scarlet pivot]

No

[fiery merlin]

Is 3x - y = 28 with x = 8 and y = 4 correct?

[scarlet pivot]

Yes

But I got

-y=4

[high isle]

Y is -4

Yeah

It’s write

Right

[scarlet pivot]

-y?

[fiery merlin]

Right, but they asked ^

[scarlet pivot]

How

[high isle]

Because 24- (-4)=28

Distribute the neg

So 24+4

So it does end up working out

[scarlet pivot]

No

Wait

[high isle]

Cause 3x-y=28

So

We know x=8

Y=-4

In other words you can rewrite it as

[fiery merlin]

OK, I've got to go. Have a good day or night everyone.

[high isle]

Or plug in x and y

[scarlet pivot]

But how do you solve

for y

[high isle]

Thanks for letting me steal it lol

[uneven orbit]

hi

i also have sushi in my usernam

[fiery merlin]

No problem 🙂

[scarlet pivot]

I’m trying to find out that Y is -4

[high isle]

Um okay

So

[scarlet pivot]

Guess we’re meant to be

[uneven orbit]

😰

[scarlet pivot]

wink wink

just kidding lol

okay chill

[high isle]

So we have 113 and 28

[scarlet pivot]

lemme learn

okay

got it

[high isle]

Due to alternate interior angles

It’s 28=3x-y

[scarlet pivot]

Yeh

[high isle]

And 113=14x+1

Doing alg on this one

112/14

Which is 8

[scarlet pivot]

Yes

[high isle]

So we know x=8

[scarlet pivot]

So

[high isle]

Now 3(8)-y=28

[scarlet pivot]

28= 3(8)-y

that’s gets you -y=4

[high isle]

Which simplifies to 24-y=28

[high isle]

Divide by -1

Y=-4

[scarlet pivot]

Right

[high isle]

And you can check it to make sure

3(8)-(-4)=28

24-(-4)=28

[scarlet pivot]

Got it

Got it

Ty

[high isle]

And you distribute the neg

Just think of it as negative 1

[scarlet pivot]

Ik I just forgot to add 1

[high isle]

Ah okay

[scarlet pivot]

Alright now

[high isle]

🫡

Need any more help or

[scarlet pivot]

yes

3 more problems

Should be easy

[high isle]

Damn

Send

[scarlet pivot]

24,25,26

[high isle]

Okay so for number 24

[scarlet pivot]

yep

[high isle]

To find the angles

Realize that this is a parallelogram

So

[scarlet pivot]

yes

=360

All angles added up

sides

[high isle]

It would be 2(3a+27)

[scarlet pivot]

For a

?

[high isle]

And 2(5a-39)

[scarlet pivot]

Huh

[high isle]

So 10a-78+6a+54=360

[scarlet pivot]

Wait

okay

[high isle]

Basic alg

[scarlet pivot]

B you mean

[high isle]

B?

[scarlet pivot]

Wait

[high isle]

I’m solving for angles

[scarlet pivot]

Where r you going with this

[high isle]

Cause we find a

And then plug it back in

[scarlet pivot]

I’m just supposed to find the measure

of WX

[high isle]

That’s the angle

Oh

[scarlet pivot]

and the other things

[high isle]

You want the length?

[scarlet pivot]

wtv this says

[high isle]

You want wx right?

[scarlet pivot]

Yes

[high isle]

Well yz would also suffice

So

[scarlet pivot]

Ik the answer is 11

But how

[high isle]

Notice how xw and yz

Exist

Or like

Is equal

[scarlet pivot]

Yes

[high isle]

Set the unknown lengths equal

6b-7=10b-19

[scarlet pivot]

Wait

yes

[high isle]

So

Alg

4b=12

B=3

/‘d then

And then

6(3)-7

Huh is it 11?

Yeah it’s 11

18-7

So ideally speaking.

[scarlet pivot]

Bruh

I got it now

[high isle]

Okay.

[scarlet pivot]

idk how I don’t know it when I’m by myself

But when someone explains

I know

[high isle]

So ideally speaking

Um

[scarlet pivot]

So now

[high isle]

If it’s a parallelogram

[scarlet pivot]

Wait

[high isle]

The opposite sides are equal

[scarlet pivot]

Lemme say

[high isle]

Okay

[scarlet pivot]

To find measure X

we do

5a-39+3a+27=180

Or equal

5a-39=3a+27

[high isle]

Yeah actually

[scarlet pivot]

yay

[high isle]

You can do that

As they are

I think supplementary

So add up to 180

[scarlet pivot]

yeah

I got how to do it

alr next

[high isle]

Yep

[scarlet pivot]

problem

[high isle]

Well opposite sides should equal each other

[scarlet pivot]

So I’m wrong

It’s not =180

I just found out

[high isle]

Did you ask chat got?

[scarlet pivot]

No

I solved the equation

And got a decimal

The angle measure is 81 apparently

[high isle]

Uh

It should be 5a–39+3a+27=180

It’s just like terming

Your solving for a

A can be anything

So

8a-12=180

192=8a

192/8=a

[scarlet pivot]

Ok