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Mathematics 15 Online
OpenStudy (anonymous):

Need Help! Please provide step-by-step instructions with the answer.

OpenStudy (anonymous):

OpenStudy (anonymous):

Use Your Magic c; trololololloloololololol

OpenStudy (anonymous):

I wish.. Geometry isn't fun

OpenStudy (anonymous):

i know i have algebra online, and geometry at school. basically failing both -.-

OpenStudy (anonymous):

@amistre64 @ganeshie8 @phi @TuringTest @whpalmer4 @robtobey @SolomonZelman @mathslover @ajprincess

OpenStudy (mathmale):

@harrypotter2 : Welcome to Open Study. When you signed up for Open Study, you had an opportunity to read the Open Study Code of Conduct. That Code is specific in requiring that users neither ask for nor give out answers without involvement on the part of the person asking questions. The most you can expect is that someone will guide YOU towards solving the problem yourself. I'd suggest you start by choosing one of the problems you've listed and typing out what you already know and what you'd like to learn/do.

OpenStudy (solomonzelman):

Why harrypotter 2, not 1 or 3 or 4 or just harry potter ? ;)

OpenStudy (whpalmer4):

For problem 15: what do you know about the angles of that trapezoid?

OpenStudy (whpalmer4):

My 10-year-old is too young to have an OpenStudy account to help you, but he observes that the trapezoid must have angles that add up to 360 degrees, and the two angles on the left add up to 180. What about the two angles on the right?

OpenStudy (whpalmer4):

Can you use that information to write an equation to be solved for \(x\)?

OpenStudy (anonymous):

Okay I see that now. (x-50)+x = 180

OpenStudy (anonymous):

what special smart drugs is your child on O.o im in 10th grade and i wouldnt even been able to tell him that

OpenStudy (whpalmer4):

Good! What does \(x=\)

OpenStudy (anonymous):

so x=115 :) and x-50=65 and i feel you @Courtneydyrdek98

OpenStudy (anonymous):

what about the second one @whpalmer?

OpenStudy (anonymous):

and @mathmale i know what the CofC is

OpenStudy (whpalmer4):

Okay, good. Let me look at the second problem.

OpenStudy (whpalmer4):

Are we in agreement that the "z" shape has parallel lines making the top and bottom? (I think that's what the little arrowheads indicate)

OpenStudy (anonymous):

yeah those are parallel lines

OpenStudy (whpalmer4):

Okay. Looking at the diagram, can you see anything that will give us a relationship between x and y?

OpenStudy (anonymous):

x=3y ?

OpenStudy (whpalmer4):

That might be true — do you have a justification for saying that?

OpenStudy (anonymous):

Hmm.. is it because corresp. <s are congruent?

OpenStudy (anonymous):

im still waiting on what you give you child to make him so smart @whpalmer4

OpenStudy (whpalmer4):

That sounds like a reasonable response. I can never reminder the precise names for some of these things, just that if you have a parallel line cut by a straight line, the corresponding angles are congruent. Another relationship we could draw is that \( x + y = 180\), do you see why?

OpenStudy (whpalmer4):

@Courtneydyrdek98 half of my genetic material :-)

OpenStudy (anonymous):

oh so theres no special stuff. lameeee and not fair.

OpenStudy (anonymous):

Oh i see that now :D Two angles are supplementary if they add up to 180 degrees. so x+y =180

OpenStudy (whpalmer4):

Yes, very good. So we have two equations, though we only need one, and can use the other to check our results for consistency. What do you find for x,y, and 3y?

OpenStudy (anonymous):

i have no idea... how would you set up the first equation to solve for x or y?

OpenStudy (anonymous):

@SolomonZelman I don't know it's just harrypotter2

OpenStudy (whpalmer4):

Well, you'll need to use both, I guess: can you solve the equation \(x+y=180\) for \(y\) and substitute it in the equation \(x = 3y\)? Or \(x\) if you prefer

OpenStudy (anonymous):

Okay I got x=135 and y=45 :)

OpenStudy (anonymous):

Thank you so much!! @whpalmer4

OpenStudy (whpalmer4):

Good job!

OpenStudy (whpalmer4):

@Courtneydyrdek98 I believe the California state curriculum standards have every 5th grader being expected to know that the interior angles of a quadrilateral add up to 360 degrees, so I'm not sure any special brilliance is being demonstrated by his knowing that, just that he paid attention in class and still happens to remember it...

OpenStudy (whpalmer4):

I can believe that if you also learned this in 5th grade, but then had no reason to use it until 5 years later, you might not immediately remember it! Occasional repetition is a good tool to retain such memories.

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