#geometry-and-trigonometry

1 messages · Page 107 of 1

whole flame
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Solution is all that matters

opal dawn
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Why is line ULH wrong

azure rivet
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it is a segment of a line

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maybe thats the reason

azure rivet
opal dawn
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How is it not a line

opal dawn
azure rivet
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better you open a help channel for your doubt

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idk much in geo- as it has been almost 2 years until i read it from the last time in feb 2023

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so i cant be sure at all about what i think and speak

opal dawn
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But it has arrows

azure rivet
rugged sluice
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hi guys

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uh

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i might be cooked

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for geometry

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i got a 53 on my test...

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on angles and triangles

mortal raft
keen tree
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I hate proofs

near hazel
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Random wikipedia screenshot that I find mildly amusing

whole flame
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The difference is line segment has two arrow heads at end points

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While segment is just 2 points at end

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To show 3 collinear points on segment we write ULH

ripe locust
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im new to this server and this type of problem. I don't know how it works but this is the question

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i can make it through until finding the last part of the question (since the first one is easy)

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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

sly venture
whole flame
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Find the resultant

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Draw a rough figure

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And take resultant

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U need to find distance between then

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Them

proper ember
proper ember
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lmaooo

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mb

wintry ibex
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hm

alpine root
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Hello

sick wraith
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help

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i mean helo

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and help

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trignometry

azure rivet
azure rivet
proper ember
opal dawn
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hi guysss

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i got 43/46 on my geometry test!!

abstract pewter
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W

fresh birch
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nice problem

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is an adventitious 18

sick wraith
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did u guys solve it

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did u get the ans or should i do

fresh birch
sick wraith
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oh

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looks messy

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mb

fresh birch
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español :v?

sick wraith
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nope

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only english

fresh birch
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ok

fresh birch
little magnet
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who knows how to do this

sick wraith
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i can ig

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its easy

fresh birch
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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

little magnet
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can you explain it

sick wraith
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BUT i have exam today

little magnet
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i just started geo honors

sick wraith
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damn

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ill help u after my exam

little magnet
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ok thanks bro

sick wraith
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or ask chanders

little magnet
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yo @fresh birch

fresh birch
little magnet
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thank you bro this helps a lot better then my teacher

fresh birch
little magnet
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ok im gonna try myself and just follow your steps

sick wraith
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z-73
x-133
y-60
w-107

little magnet
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dam both of u smart asl

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how do you figure it out

sick wraith
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ill explain

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AFTER EXAM

little magnet
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ok

little magnet
fresh birch
little magnet
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Not really wasnt in school to learn this got sick

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oh nvm

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i just thought they are two lines that never intersect right

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and they are apart like this I I

sick wraith
fresh birch
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With that in mind and knowing that a flat angle equals 180 degrees, everything can turn out perfectly easy.

sick wraith
# fresh birch

espanol no one understand the text but diagram is simple asf

little magnet
fresh birch
little magnet
sick wraith
sick wraith
little magnet
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yea that when you first get it in fl

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is that bad

sick wraith
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yes

little magnet
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dam

sick wraith
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i mean in america the edu standars are behind time

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ru american

little magnet
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yea

sick wraith
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shot

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guessed it

little magnet
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😭 chill

sick wraith
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i think i had it in some 7 or 8

little magnet
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oh that normal down here too

sick wraith
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down!?

little magnet
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just i didnt take in in 8th i should have

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where are you

sick wraith
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U GET OPTIONS 😭

sick wraith
little magnet
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yea

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oh like in flordia

sick wraith
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(no wonder)

sick wraith
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bud

little magnet
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so what sate do you live in

sick wraith
sick wraith
little magnet
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yea

sick wraith
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☠️

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clue: goverments having conflicts

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i gtg

little magnet
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hmm not really to caught up on that stuff but see you later

chilly summit
sick wraith
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@little magnet do u understand
sinθ=
Hypotenuse/Perpendicular

sick wraith
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what chapter

chilly summit
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i gues

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bc he hasnt lectured on this

sick wraith
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damn

chilly summit
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idk man i hate this clsas i took calc last year and it was so easy

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had to retake it in 1st year uni and its the hardest thing ive ever done

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💔

sick wraith
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take hypotenuse as 1 and opposite side as x

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then it should be squroot of 1-x*x?

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= squr root 1-x^2

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cotθ=a/o

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(sqroot 1-x^2)/x

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whats the answer

chilly summit
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hold up imma redo it because i did that but got the wrong naswer

sick wraith
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x is not 0

chilly summit
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i probably did a dumb mistake

sick wraith
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kk

chilly summit
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ok i got it right ty tht was actually not bad

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at all

sick wraith
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np

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i always keep this in my notepad for when i need it "θ"

sick wraith
chilly summit
sick wraith
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hmm

chilly summit
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it was from a practice test im just studying

sick wraith
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then lemme ask u smth

chilly summit
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Okay

sick wraith
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why couldnt i have taken 9 in place of 1 then square rooted it to 3-x/x ?

chilly summit
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what do you mean

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like make the hypotenuse 9?

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wdym

sick wraith
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yuh

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wait whats the q again

chilly summit
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because the radius of unit circle is 1

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hypotenuse is 1

sick wraith
chilly summit
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😭

sick wraith
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"wait whats the q again" legendary aah words

chilly summit
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if it was just for hw i would've used ai 🙄

sick wraith
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acctually

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i can take 9 as hypotenuse

sick wraith
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the answer wont change

chilly summit
sick wraith
dark sparrow
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SOH-CAH-TOA. sin(θ) = opposite/hypotenuse. the hypotenuse is in the denominator.

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nxwtfi take note.

sick wraith
dark sparrow
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and what's the meaning of this nerd emoji?

sick wraith
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supposed to be u but no offence and thanks for correcting

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mw

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me*

dark sparrow
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yeah dude idk about you but slapping a nerd emoji at someone who gave you a legit correction isnt a good look

sick wraith
spiral lodge
rustic shuttle
sick wraith
rustic shuttle
sick wraith
proper ember
paper rose
#

hey

hidden geode
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Any big brain solve the 5th question i forgot to clean the camera

night crown
#

tell me if i did something wrong

lime crownBOT
# night crown

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.

night crown
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Huh

proper ember
night crown
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Im new

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Joined today

proper ember
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help people understand the Q and try to make them understand the approach apparently

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i dont get it either 💀 let them copy the answer lol (not offending / disrespecting the server)

proper ember
night crown
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Well its not in the rules that i cannot give the answer

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I would have just given the answer without saying how i did it xd

proper ember
verbal valve
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can someone help me?

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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

hidden geode
whole flame
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What

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Be specific

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Ok

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Got it

hidden geode
whole flame
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5

hidden geode
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5

whole flame
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So

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Use cos^2 theta= 1-sin^2 theta

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Then use

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Sin3x property

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Assume

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Sin^2x as some variable

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U will get equation

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In cubic

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Find the roots n equate to sin^2x

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N remeber range of sin^2x

swift forge
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I just had my first proofs test in geometry and I got cooked 40/50 😔

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Might not be cut out for a math major when I go to college

rugged sluice
silent plank
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apply definition of complement

chilly fiber
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Wait, guys just for clarification on reasonings, in an if and only if statement, if both statements are false, does that make it true

chilly fiber
# rugged sluice

If a + b = 90 and yk one of the term is defined-I think that's a decent hint

chilly fiber
#

Would that be both logical fallacy

cunning lion
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i mean the statement is true i suppose

chilly fiber
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Which leads to the statement being true?

cunning lion
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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

chilly fiber
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So, in an logical statement, if either the hypothesis or the conclusion is false, the bi conditional statement would be false

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but, if they're both false or both true, the bi conditional statement is true?

cunning lion
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yes

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although you should be careful because the usual use of "or" in logical statements allows for both things to be true

chilly fiber
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Would they be considered true through your logic?

cunning lion
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yes

chilly fiber
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Alr cool

sharp inlet
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hi

swift forge
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hi

azure rivet
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ik you you gave up pretty soon

visual flume
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help pls

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so uh 144pi/5 is wrong

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formula for the solid is 12πr i think

worthy eagle
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how did you get this formula?

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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.

visual flume
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ok wait nevermind im stupid

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how did i get 144pi/5???????/

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wait what the hell 😭 i got a worse number

worthy eagle
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like what

visual flume
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(12pi√142)/5

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yk what my dumb ahh did

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so i solved for r 💀

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i bashed it

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√9-r^2 + √16-r^2 = 5

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bashing in the big 25 🥀

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and then i got r = √142/5

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i got 12πr as the formula because

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the circumference is 2πr units

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and since you rotate the triangle you essentially map the area of the triangle 2πr times

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idk im stupid

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oh i see what i should do

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holy yap

worthy eagle
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If you are done, you can send your step by step solution to verify.

visual flume
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ok

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soo

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i hope this is right

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so theres 2 cones

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one has height of √9-r^2 and another has a height of √16-r^2

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and if you multipy both by πr^2/3

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and add

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and since √9-r^2 + √16-r^2 = 5

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you get 5πr^2/3

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and multiply it by r^2 its

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142π/15

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am i cooked or did i cook

worthy eagle
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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.

visual flume
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oh mb

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ty

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nooo its wrong

worthy eagle
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i think you calc r wrong

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,w √(9-r² )+ √(16-r²) = 5, find r

outer wadi
#

How’d I do this?

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It’s prolly simple but idk what to do

lost lichen
# visual flume help pls

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||

sick wraith
#

...

vague drift
#

Hello, 8th grader here, I got placed in AP Pre-Calc, someone please give me advice for how to not explodecat_happycry

night crown
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practice some and you will understand eventually

cold veldt
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guys

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hello

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Can anyone solve this ?

wary shale
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i wanna know how does double angle formulas are formed by using pythagorean identities as a base... flonshed

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i understand how pythagorean ident and its other formulas are made for csc and sec but idk about double angle idents

night crown
#

oh its easy

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its just algebra

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and a bit of geometry

upper echo
magic swallow
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i get 256/17

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it's google ai btw, but everyone does it the same way i think

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just paste the question and apparently you get the answer

crimson jolt
brave karma
visual flume
visual flume
#

im so s mart guys 🥀

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oh i see where my calculations wne twrong

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i divided 1024/4 as 258 😭

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im so cooked

azure rivet
#

ah heck

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!nogpt

lime crownBOT
#

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).

visual flume
#

ai is bad at math

stiff spoke
#

lnx

gloomy spear
#

yo

stiff spoke
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gurt

gloomy spear
#

i have a question on vector addition

stiff spoke
gloomy spear
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if addition means 2 sides should be euivalent

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and vectors are defined as displacements that inherently have the properties direction and magnitude

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then how come when you add vectors the result has the same displacement but not the same magnitude

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like if i add (1, 2) and (3, 4) then that together has a different magnitude than (4, 6)

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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)

stiff spoke
# gloomy spear cuz going 1 right and 2 up and then 3 right and 4 up has the same effect (displa...

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!

somber coyoteBOT
#

FancyPants11oTHEREALONE
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

stiff spoke
#

exactly

gloomy spear
#

so vector addition has a different definition than normal addition?

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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

gloomy spear
#

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

gloomy spear
#

oh

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ok so vector addition is specially defined

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but why

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why do that

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is it because the way vector notation is it only allows us to describe a displacement

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and magnitude is arbitrary and only appears because we can theoretically plot it on a cartesian plane

stiff spoke
#

so if the perpendicularity doesnt go tjrough then the photosynthesis doesnt go through wjther

stiff spoke
stiff spoke
#

you gotta use feynmanns technique

gloomy spear
#

are you js spamming buzzwords now

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i think i get it now anyways

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so thanks ig

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🫡

stiff spoke
little magnet
#

yo did i do this right

exotic yarrow
somber coyoteBOT
#

Civil Service Pigeon

little magnet
lavish stirrup
upper karma
worthy eagle
#

<@&268886789983436800>

#

this is spammed in multiple channels

silent plank
#

They've been b&.
Let us know if there are any messages remaining.

worthy eagle
#

💀 I just wanted to ping mods, felt good

brave karma
#

bro.

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why mods are banned

worthy eagle
verbal bough
#

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?

winged shard
#

Hi guys, who needs help with with homework for a small fee (;

potent hollow
#

its called like the twin prime conjecture

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if you could send me a proof ill give you a dollar

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👍

winged shard
sick wraith
#

💔

potent hollow
#

🥀

winged shard
potent hollow
#

Prove that there are infinitely many pairs of of prime number (p, p + 2).

winged shard
#

Okay, I did it

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Could you please give any different contact information

#

Idk why but I can text you here

potent hollow
#

damn solving a millenium problem in 2 minutes

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you must be a genius

winged shard
#

Because my professor solved it literally yesterday

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I am college student

potent hollow
#

you should definitely contact the clay institute

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theyll give you a million dollars

winged shard
#

Okay I will solve for you free just tell me where I should give you the answer

potent hollow
#

send the proof here

winged shard
#

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

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I did not lie

potent hollow
#

thanks but that isnt twin prime

winged shard
#

Oh you asked for twin prime?

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Ok give me minute

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Is that school task?

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Because there is nothing that can prove that they are infinite

limber dagger
#

can somebody help me with this? I don't really understand the concept.

opaque ember
#

Hello can someone help me

thorny wolf
#

um

stiff spoke
#

gurt

opaque ember
#

sending

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@thorny wolf

stiff spoke
#

ok so transversals

opaque ember
#

Yes

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Whatever that means

stiff spoke
#

when you have a diagonal line across the two parallel lines

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u know some of the angles are gonna be equal

summer nimbus
#

six sevennnn

opaque ember
#

Are you talking about 13 or 12

stiff spoke
#

both are transversals

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they both have two parallel lines

opaque ember
stiff spoke
#

they just dont go on forever

opaque ember
#

Which one is

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12 or 13

stiff spoke
thorny wolf
opaque ember
stiff spoke
#

they both have this

thorny wolf
#

💀

thorny wolf
opaque ember
#

Bro I swear I'ma tweak

opaque ember
thorny wolf
opaque ember
#

9th

stiff spoke
opaque ember
#

It is an entire triangle

thorny wolf
opaque ember
thorny wolf
#

how much does a straight line equal

opaque ember
#

Help me solve this first

stiff spoke
#

7x-7 = 3x + 45 cuz theyre corresponding angles on a transversal

opaque ember
thorny wolf
opaque ember
#

You're a genius

stiff spoke
#

yes i know

opaque ember
#

Bro

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Nah ur wrong

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wait maybe not

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Yo I am lwky tweaking

summer nimbus
#

bro

stiff spoke
#

They both have transversals in them, it just doesnt look obvious

opaque ember
#

I made it 10x for sum reason

stiff spoke
#

Yeah ur fooked

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and also y-6 is supplemental to 7x-7

opaque ember
#

Ok buddy

rapid cloak
#

i could help.

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but

thorny wolf
rapid cloak
#

i'm eating.

opaque ember
#

X is 13 bro

stiff spoke
#

Because theyre vertical angles

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Yes

opaque ember
#

We've cracked the code

summer nimbus
#

now solve y

opaque ember
stiff spoke
#

and know you can solve for y

thorny wolf
stiff spoke
#

y - 6 + 13 = 180

rapid cloak
opaque ember
thorny wolf
#

yes

opaque ember
#

Where are you getting x from bro

rapid cloak
#

no wonder

opaque ember
#

13 from the void

stiff spoke
#

Nah i lied

summer nimbus
#

use the triangle

opaque ember
#

Oh well lock it in

thorny wolf
opaque ember
#

63+3x+45 +y-6=180

thorny wolf
#

but were just learning stuff from 8th grade

rapid cloak
summer nimbus
stiff spoke
#

7x -7 + y-6 = 180

thorny wolf
#

so we can prepare

stiff spoke
#

plug in for x

opaque ember
thorny wolf
opaque ember
#

7x-7 is ontop of y-6

summer nimbus
#

???

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just use the triangle gng

stiff spoke
opaque ember
#

Wait I see it now

stiff spoke
#

u have to differentiate it

summer nimbus
#

its rly not that deep

opaque ember
#

Guy may be onto something

rapid cloak
stiff spoke
#

The derivative of 7x-7 is 7

summer nimbus
opaque ember
#

Bro y is not 102

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@stiff spoke

summer nimbus
#

ur right its not

rapid cloak
stiff spoke
summer nimbus
#

redo ur math

thorny wolf
opaque ember
opaque ember
#

I've been working on this for an hour

stiff spoke
#

ok so the angles of a triangle add up to 180. Rhe angles are 63, 3x+45, and y-6.

opaque ember
#

We got x but not y

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Ok

summer nimbus
#

solve for y

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63+3(13)+45+y-6=180

stiff spoke
#

you have to add a parameter somewhere cuz it doesnt have an elemwntary antiderivative

opaque ember
#

I don't think it is that either

summer nimbus
opaque ember
#

Isn't it like 69 or sum

#

I swear it is

summer nimbus
opaque ember
#

My teacher wrote that

stiff spoke
#

Yes king

opaque ember
stiff spoke
#

just use google ai vro

opaque ember
#

I'm trying to get the concept

opaque ember
opaque ember
#

The same way a human being can

stiff spoke
#

U did algebruh weong

opaque ember
#

How did I do it wrong bro

stiff spoke
#

Probbalt added wrong

thorny wolf
opaque ember
thorny wolf
#

just use chatgpt

opaque ember
#

I did they are slow

summer nimbus
opaque ember
#

I was promised fancypants would help me

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and be the goat

#

It seems as if I have been lied to

opaque ember
#

I'ma gonna snap my pencil in half soon

summer nimbus
opaque ember
summer nimbus
#

with ur teachers answers

opaque ember
#

Help me with this @stiff spoke

stiff spoke
#

Ok so

summer nimbus
#

63+3(13)+45+(69-6)=210

stiff spoke
#

use transversal property

summer nimbus
#

so uh

opaque ember
#

What property is that

summer nimbus
#

i think ur teachers tweaking

thorny wolf
#

apply the Feynman hypothesis

opaque ember
thorny wolf
#

plus the transversal property

stiff spoke
#

You have to perpendiculate the bisectors

opaque ember
stiff spoke
#

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))

opaque ember
#

Idk what that means

#

so what should I do

summer nimbus
#

bro hes literally just messing with u

stiff spoke
thorny wolf
summer nimbus
#

hes just saying random math stuff that doesnt relate

summer nimbus
stiff spoke
summer nimbus
#

this is basic geometry

thorny wolf
#

isk

opaque ember
stiff spoke
#

The smaller tour step size is the closer tour approximation will be.

summer nimbus
#

hes just saying random shi

opaque ember
#

ITS 12 AM NOW

bleak blade
summer nimbus
#

i will help u

thorny wolf
stiff spoke
summer nimbus
stiff spoke
thorny wolf
opaque ember
#

I need to understand it

#

Not just cheat

thorny wolf
#

just use khan academy

stiff spoke
#

I learned ts shit in the womb cuh

summer nimbus
#

i can explain it to u

bleak blade
opaque ember
summer nimbus
opaque ember
graceful palm
#

I heard my name.

thorny wolf
graceful palm
#

I'm here to help kiddo.

opaque ember
stiff spoke
#

Trapezoids

opaque ember
#

Thank god 🙏

thorny wolf
#

what is a triangle

#

equal to

bleak blade
#

nobody called you

opaque ember
stiff spoke
#

Trapezoids have equal base anfles

graceful palm
thorny wolf
summer nimbus
graceful palm
#

Dug which problem are you stuck on.

opaque ember
thorny wolf
summer nimbus
#

lemme draw it

opaque ember
#

😭

thorny wolf
#

DUG

bleak blade
graceful palm
opaque ember
graceful palm
#

Give me a few minutes to solve it kiddo.

stiff spoke
#

trapezoid anfles are equal

#

the anfle next to n is 67

graceful palm
#

And Yeet is not my friend, I am Yeet if the profile didn't give it away already.

stiff spoke
#

67 + 67 + y = 180

opaque ember
#

I thought u guys were like penguin cousins

graceful palm
graceful palm
opaque ember
#

There is nothing to show it both being 67

opaque ember
#

angle y and z

stiff spoke
#

The sum of the angles of a trapezoid is 360. So (67 + 67) + 2z = 360

stiff spoke
#

thats a trapezoid

#

base angles are equal

thorny wolf
#

@civic plank

stiff spoke
#

idot.

thorny wolf
#

@civic plank

#

@civic plank

#

@civic plank

#

bro

opaque ember
graceful palm
#

Please stop spam pinging her.

thorny wolf
graceful palm
#

Dug do you know congruent angles.

stiff spoke
opaque ember
#

Only Elbert Einstein can teech me how to solve this equation 🥀

graceful palm
stiff spoke
#

Cut the tip off the triangle it becomes a trapezoid

thorny wolf
#

please

graceful palm
#

Dug do you know congruent angles.

opaque ember
#

I think so

stiff spoke
#

Trapezoid properties apply

graceful palm
#

Z is literally 67 degrees because of the congruent angle property.

civic plank
stiff spoke
#

Also its an isosceles triangle

graceful palm
#

180 is the total, meaning y = 180-67-67.

opaque ember
graceful palm
stiff spoke
#

it doesnr

opaque ember
stiff spoke
#

they arent corresponding cuz irs two different diagonal line

#

you cant assume z=67

summer nimbus
#

all these red angles r equal

graceful palm
#

The angles are marked congruent.

#

Z = 67 degrees.

summer nimbus
#

no z = 180-67

stiff spoke
#

Z is actually the supplement to 67. Not congruent.

summer nimbus
#

bro

graceful palm
#

Theres a y angle vro.

summer nimbus
#

yes

stiff spoke
#

This kid doesnt know what hes talking about

#

z is the supplement

graceful palm
#

67+67+46 = 180 vro.

summer nimbus
#

????

graceful palm
#

How do you not see this

opaque ember
summer nimbus
#

all the red angles r congruent and equal to 67

graceful palm
#

Z is congruent to the 67 degree angle, z = 67.

summer nimbus
#

its not bro

#

stop

graceful palm
#

@stiff spoke what do you think

#

This Eric guy is trolling or smth.

stiff spoke
summer nimbus
#

im not

graceful palm
#

How?

opaque ember
#

It says z is 113 dude

stiff spoke
#

z isnt 67 vro

summer nimbus
opaque ember
#

How do I get to that though

summer nimbus
#

Z= 180-67

graceful palm
#

Was Z = 113 given.

stiff spoke
#

they arent on the same transversal cuz irs two different lines going through the parallel lines

summer nimbus
#

oh my lord

graceful palm
#

?

#

Wrong property then, Z is supplementary angle.

stiff spoke
#

yes. Like weve been saying

opaque ember
graceful palm
#

180-67.

summer nimbus
stiff spoke
#

vro

graceful palm
opaque ember
summer nimbus
#

so z+ 67 =180

graceful palm
#

Fair, then it's pretty simple to recognize if you know your supplementary angles.

opaque ember
stiff spoke
summer nimbus
stiff spoke
graceful palm
opaque ember
graceful palm
summer nimbus
stiff spoke
opaque ember
#

Oh

summer nimbus
#

do u see it now

graceful palm
#

Dug are you good on angle Z?

stiff spoke
opaque ember
#

Now next problem

stiff spoke
summer nimbus
#

which one

opaque ember
graceful palm
stiff spoke
summer nimbus
stiff spoke
#

its disguised

summer nimbus
#

do u think u know how to

graceful palm
#

Dug do you know what bisect means here?

#

Thats pretty important.

opaque ember
#

Ok I solved that

#

THat one was easy

summer nimbus
#

k nicee

stiff spoke
#

Dug i want u

opaque ember
stiff spoke
opaque ember
#

How does one solve 15 though

opaque ember
summer nimbus
#

oh i see

graceful palm
#

Is this for a test tmrw?

summer nimbus
#

dug extend the bottom and top parrallel lines

opaque ember
#

Why though

#

My teacher told me that today

opaque ember
#

Hw

#

but we have to take a quiz

#

every week on hw

summer nimbus
#

do u see it

stiff spoke
opaque ember
#

so that is why I need to learn it

summer nimbus
#

extend the top and bottom parallel lines

opaque ember
#

To the left

graceful palm
summer nimbus
#

do u see the alternate interior angles now

opaque ember
#

nah

cunning lion
#

the quartic formula isn't as bad if you allow for auxiliary variables

opaque ember
#

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

graceful palm
#

If you extend the top and bottom parallel lines they allow you to see the alternate interior angles and declare them supplementary.

opaque ember
#

I SEE IT

#

@summer nimbus

#

5x-y=130

summer nimbus
#

NICE

graceful palm
#

Dug do you remember how we used supplementary lines last time.

#

You can now set them equal.

summer nimbus
#

wait what

opaque ember
#

Bro what?

graceful palm
#

Not the angles.

summer nimbus
#

lemme show u

graceful palm
#

Let me write it out.

opaque ember
#

It is the angles

#

This can't be

stiff spoke
summer nimbus
#

its these

graceful palm
#

(5x-y) + 150 = 180 (correct?)

opaque ember
#

Nah

#

Oh nah

summer nimbus
#

5x+y = 50

opaque ember
#

Shouldn't that be correct

summer nimbus
#

5x-y = 30

graceful palm
#

Did you use 130 Eric?

opaque ember
stiff spoke
#

5x + y = ln(x) * y^x

graceful palm
#

No you need to subtract.

summer nimbus
#

no see the two red angles i drew

opaque ember
summer nimbus
#

do the bottom one first

#

5x+y=180-130=50

#

do u get htat

opaque ember
#

Man what the hell

stiff spoke
#

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

summer nimbus
#

the top one is 5x-y = 180-150 =30

graceful palm
#

Tm just spamming calculus.

summer nimbus
graceful palm
#

Eric did you get y= 10?

opaque ember
#

I got y = 50

summer nimbus
#

how

stiff spoke
graceful palm
opaque ember
#

I got 5x-y=30

#

and 5x+y=130

stiff spoke
summer nimbus
graceful palm
#

The other should be 5x+y = 50.

summer nimbus
#

yeah

graceful palm
#

Y = 10, then plugin to the other to get X=8.

opaque ember
#

Oh ok

graceful palm
#

Run it again and see if u get it.

stiff spoke
# opaque ember I got 5x-y=30

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

opaque ember
#

I got x=8

graceful palm
opaque ember
#

Now this

opaque ember
#

What the hell are the surf lines

stiff spoke
summer nimbus
#

hm theres a lot of ways to solve this one

opaque ember
#

What are the angle 1 is weird equal to angle 2

summer nimbus
#

wdym

opaque ember
summer nimbus
#

oh i see how u do it now

opaque ember
#

How

summer nimbus
#

use these congruent angles

opaque ember
#

YOOO

summer nimbus
#

the red ones r equal and the blue oens r equal

opaque ember
#

80+3x+2y+1=180?

summer nimbus
#

well the red angle is angle 1 and angle 2

opaque ember
#

Oooh

summer nimbus
#

so it would be 2(3x+2y+1) i think

opaque ember
#

6x+4y+2

summer nimbus
#

yea

opaque ember
#

How do you get the other equation

summer nimbus
#

well solve for thee blue angle first

opaque ember
#

How do you

summer nimbus
#

its a triangle

#

180-45-red angle

#

or 180-45-100

opaque ember
#

Where did yo uget 45 from

#

Oh

summer nimbus
#

its given

#

do u see

opaque ember
#

I see now

summer nimbus
#

so do u know how to get the other equation

opaque ember
#

No

summer nimbus
#

well solve for angle 3

#

which is 180-blue angle = 180-35=145

#

we also know angle 3 = 12x+5y

#

so 12x+5y=145

opaque ember
#

What where did we get 45 from

#

I mean 35

summer nimbus
#

thats what the blue angle equals

opaque ember
#

Isn't that 45

summer nimbus
#

180-100-45

#

=35

opaque ember
#

Why did you minus 100

summer nimbus
#

cuz thats the red angle

opaque ember
#

I see now

#

Ok

summer nimbus
#

then u solve the systems of equations

#

80+6x+4y+2=180 and 12x+5y=145 to summarize

opaque ember
#

I got it wrong

#

yx+4=100

#

6x+4y=100

#

and

#

12x+5y=145

summer nimbus
#

what

opaque ember
#

Isn't that right

summer nimbus
opaque ember
#

How does the red angle

#

equal 100

#

if 6x+4y+2 does

summer nimbus
#

wdym the red angle = 6x+4y+2=100

opaque ember
#

You just said it equals 98

summer nimbus
#

yea 6x+4y=98

opaque ember
#

Oh

#

I see it now

#

Ok last one

summer nimbus
#

ok

#

u got this

opaque ember
#

It is 18

#

I need help with

#

'and that is the last one

summer nimbus
#

oh this ones easy

opaque ember
#

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

summer nimbus
#

nice

#

good luck

opaque ember
#

Thank you

#

Have a nice day

summer nimbus
#

of course

#

u too

limber dagger
#

could anybdy help me with this?

summer nimbus
#

ok

dark sparrow
#

!nosols

lime crownBOT
#

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.

dark sparrow
#

before you've gone too far

summer nimbus
#

ohw ait nvm

#

i see it

#

5x+4=114 since vertical angles are congruent

#

solve for x and then y

#

@limber dagger

plain forge
#

Can anyone solve this question?

keen juniper
main fox
worthy eagle
# plain forge
  1. 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.
sick wraith
#

.

vague drift
worthy eagle
# plain forge

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

whole flame
# opaque ember

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

azure rivet
#

@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?

polar vault
#

hi

azure rivet
#

i knew that mine was rigorous and too lengthy- inapproptiate for a situation in a exam

polar vault
#

is anyone good with radians and degrees here?

#

anyone?

#

I need help

worthy eagle
#

just ask the question

polar vault
#

ok

#

@worthy eagle

#

tell me the method for solving it

upper karma
#

Are you supposed to convert to degrees or?

#

Cause in that case you just take (_) * 180/pi

polar vault
#

radians to degrees

upper karma
polar vault
#

ok ty

#

what is (_)?

#

supposed to be??

upper karma
#

It's the radians you want to convert

polar vault
#

ok

whole flame
#

N if u notice 2nd one is also the same

#

Just instead of assuming equal to x we have taken π

#

Other way around

whole flame
plucky cape
#

what is the best way to memorize identities

upper karma
#

practice it and use it again and again

main fox