Question

Check my answer, please?
Thanks! ^.^

Answer 1

Find the value of x.

I got x=7

Hold on while I draw the diagram..

Answer 2

(I think my answer is completely wrong b/c I have no idea how to do this)

Answer 3

@e.mccormick could you be a super hero and help me out here?? Phleeease? xD

Answer 4

what information is given about the diagram? any segments on it are equivalent?

Answer 5

Not really, it all it says is this:
Each diagram shows a trapezoid and its median. Find the value of x.

Answer 6

oh, it is a median of a trapezoid, that is much better.

Answer 7

Yes, I guess I should have mentioned that. Sorry. xD

Answer 8

is it also that:

Answer 9

I mean does that angle have to be 90?

Answer 10

Well side "21" is parallel to side "x".. so I believe so.

Answer 11

It seems like 7 is wrong

Answer 12

With a trapezoid, it does not need to be right. But there is a formula for finding the length of the median if you know the length of both sides. With a little re-work, you could use the medan and one side to find the other side.

Answer 13

It probably is wrong.. I kind-of just guessed because I don't know how to set up the problem in order to solve for x.

Answer 14

Yes, I know that @e.mccormick, but I'm struggling to set up the problem in order to solve. .-.

Answer 15

The length of the median is the average of the sum of the length of the sides. Do you understand what that means?

Answer 16

Yeah, that means it's half of the sum of the two other sides.

Answer 17

Yep. That gives you a formula to put things into. Then you just solve for the unknown in any case.

Answer 18

so if I say that the bases will be \(b_1\) and \(b_2\) and the median will be m, then the fomula is:

\(m=\dfrac{b_1+b_2}{2}\)

So to answer this question or any similar trapezoindd and median question where they give you two of those three, plug them in and solve for the third.

Answer 19

And it is not 7....

Answer 20

(21+7)/2 = 14...

Answer 21

So the formula for this one would be:

13= 21 + x

Correct?

Answer 22

13 = (21+x)/2

Answer 23

Oh. Yeah I forgot the division part. xD

So
13=(21+x)/2

but what's the next step?
Subtract 13 from both sides??

Answer 24

No. For solving for something, you reverse the order of operations and then try to get stuff away from it. That means you need to move things away from x until it is all numbers on one side and x on the other Normally you would do what is inside the ( ) first, but now it is last! So you skip that. So, what is is near x and outside the ( )?

Answer 25

Divide by 2? o.O

Answer 26

Yes. And how do you get rid of division?

Answer 27

Multiplication.

Answer 28

=)

OK, so what does that do t it?

Answer 29

Turns the "13" into a "26".

Answer 30

Yep.

26 = 21 + x

Now what?

Answer 31

Subtract 21 from both sides?

Answer 32

Yep. Then you will have an answer.

Answer 33

WOoOoOoHOoOoOoOo!!!!

\^o^/

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Answer 34

Would you be willing to help me with some more in about an hour or so?

Answer 35

If I am still around...

Answer 36

Alright, sounds good. Thanks again! ^.^