I did, but after 22 years I forgot how to solve algebra without being given at least 1 of the variables. 🥺
But also I still dont know how I would prove it's a line even if I got the x+y=w+z part. I could say 1+2=1+2. So 3. How is 3 a line? I have no idea. 3 is a number not a line. 😩
Unless... 3 is a squiggly line? 🤔
Edit: Bit disappointed nobody came to shit all over my math skills. Especially since halfway through typing the comment, I forgot the second half of the problem. 🤣
You do have a number, it's just not written down! It's that a full circle is 360 degrees
Let x + y = d and w + z = e for easier writing
We know d + e = 360 degrees (a full circle)
d = e, so 2d = 360, so d = 180 degrees
The angle AOB = d, and d = 180 degrees, so AB is a straight line
The actual maths is really easy, the bit that I assume is tripping you up is the realisation that you have more information than the words of the question
31 Comments
Solely_a_Catt@programming.dev · 108 pts · 290d
That one is quite simple. On the sketch, you get
w+x+y+z=360º
Making the substitution with x+y=w+z, you get
w+w+z+z=360º <=> 2(w+z)=360º <=> w+z=180º
Proving AOB is a line, because the sketch provides, that w+z is an angle of AOB.
I am pretty sure, you were not asking for the proof, but I wanted to do it anyways. Does a genuine proof count as an anti meme?
SnokenKeekaGuard@lemmy.dbzer0.com · 94 pts · 290d
Barbarian@sh.itjust.works · 9 pts · 290d
Now you're thinking with angles!
SnokenKeekaGuard@lemmy.dbzer0.com · 7 pts · 290d
Wait but you can't just sub x+y with w+z. (Its given, my brain forgot about it)
Solely_a_Catt@programming.dev · 8 pts · 290d
I mean, could have specified that at the start
ragingHungryPanda@piefed.keyboardvagabond.com · 4 pts · 290d
how do you know that x+y=w+z? isn't that already assuming that they are equal? what if they're one degree off?
f314@lemmy.world · 51 pts · 290d
As the teacher would tell you: read the entire problem before answering! (It says so in the problem)
ragingHungryPanda@piefed.keyboardvagabond.com · 25 pts · 290d
dammit nothing changes 😂
Sas@beehaw.org · 12 pts · 290d
Because we read the question: if x+y=w+z, prove...
JackbyDev@programming.dev · 7 pts · 290d
The problem asks us to make this assumption.
FellowHuman@lemmy.world · -1 pts · 290d
But how do you know it's 360? If it wasnt a line, it could be 359.999 Or lets say 350, then w+z is 175.
The 360-ness you take is from the point of view where you already expect it to be a line.
Muaddib@sopuli.xyz · 14 pts · 290d
Because all the angles surrounding a point always add up to 360
IzzyScissor@lemmy.world · 1 pts · 290d
You can also say that since ABC and D are all equally distant from O, so they all fall exactly on a circle with O as the center point.
Solely_a_Catt@programming.dev · 0 pts · 290d
psx_crab@lemmy.zip · 30 pts · 290d
It's a trick question. Question didn't say whether AOB is a straight line or a gay one
Valmond@lemmy.world · 1 pts · 290d
The line on the other side, the trans-line.
JackbyDev@programming.dev · 26 pts · 290d
x + y + z + w = 360 because... Uh. I don't remember what the terms to use are but it does. It's a full circle. It's 4 points and 4 angles.
2 (x + y) = 360 because substitute x + y = z + w
x + y = 180 because you divide each side by 2
because x + y is 180, AOB is a line.
That's the best I can do. I may have forgotten a few steps about things you can't assume.
BCsven@lemmy.ca · 25 pts · 290d
Maybe thee is an elegant way but
X+y+w+z=360°
Given X+y=w+z
Therefore we can sub X+y with w+z
(W+z)+(w+z)=360°
2(W+z)=360°
Divide both sides by 2
W+z=360°/2
W+z=180°
Straight lines are defined as having/being 180 angle
SnokenKeekaGuard@lemmy.dbzer0.com · 9 pts · 290d
Oh i forgot about x+y being given as w+z. Yep with that its all good. I thought you made that assumption.
HeurtisticAlgorithm9@feddit.uk · 2 pts · 290d
The elegant way would be to use radians over degrees
BCsven@lemmy.ca · 3 pts · 290d
You have to show your work in snokenkeekaguard's class
HeurtisticAlgorithm9@feddit.uk · 1 pts · 289d
Wdym?
Emotional_Series7814@kbin.melroy.org · 11 pts · 290d
Pleased to see everyone solving the math problem in the antimeme, I did too!
SnokenKeekaGuard@lemmy.dbzer0.com · 7 pts · 290d
Theres something about these little questions thats irresistible to solve lol. I just wish it was a tougher task.
arch@feddit.nl · 6 pts · 290d
Did you not learn anything from your high school that's easy🥲
Kolanaki@pawb.social · 1 pts · 289d
I did, but after 22 years I forgot how to solve algebra without being given at least 1 of the variables. 🥺
But also I still dont know how I would prove it's a line even if I got the x+y=w+z part. I could say 1+2=1+2. So 3. How is 3 a line? I have no idea. 3 is a number not a line. 😩
Unless... 3 is a squiggly line? 🤔
Edit: Bit disappointed nobody came to shit all over my math skills. Especially since halfway through typing the comment, I forgot the second half of the problem. 🤣
Skua@kbin.earth · 1 pts · 288d
You do have a number, it's just not written down! It's that a full circle is 360 degrees
The actual maths is really easy, the bit that I assume is tripping you up is the realisation that you have more information than the words of the question
MotoAsh@piefed.social · 5 pts · 290d
Just intuitively, it says they're equal, and the paired angles are adjacent. The only time two halves of a full circle have equal angles is half way.
purplemonkeymad@programming.dev · 7 pts · 290d
I think this question is about making sure you state thinks in a formal manner. It is obvious, but you need to do state that as a mathematical proof.
magic_lobster_party@fedia.io · 4 pts · 290d
As long you leave no ambiguities about your reasoning, it’s a mathematical proof.
Waraugh@lemmy.dbzer0.com · 3 pts · 289d
You guys are all creative/smart. I would have held my ruler against the line and then traced around it with my pencil.
plyth@feddit.org · 1 pts · 290d
Better stick to ExTeenTailism
Ulvain@sh.itjust.works · 1 pts · 290d