## UnicornPoopCookies Group Title Given the median and trapezoid MNOP, what is the value of x? (Picture included) one year ago one year ago

1. UnicornPoopCookies Group Title

2. nincompoop Group Title

what do you know about trapezoids?

3. UnicornPoopCookies Group Title

Well i know it has two pairs of parallel sides.

4. nincompoop Group Title

if you are able to prove that QM and QN are congruent, and RP and RO are congruent, then you would be able to prove that the figure is trapezoid $QR=\frac{ 1 }{ 2 }(MP+NO)$

5. nincompoop Group Title

let us try to solve for the x

6. nincompoop Group Title

what should we do to get the value of x? I provided the equation for the medial of trapezoid for you to use to find the value of x. I prefer that you participate in solving and not be a spectator.

7. nincompoop Group Title

do you want to do this together or what @UnicornPoopCookies

8. UnicornPoopCookies Group Title

I got 12?

9. nincompoop Group Title

10. nincompoop Group Title

hello @unicornpoopcookies the answer IS NOT 12 show how you got 12

11. nincompoop Group Title

QR = 1/2(MP+NO) x+15 = 1/2 [(9x -42) + 30] // perform the operation in the parentheses x+15 = 1/2 (9x -12) //to make our problem easier by multiply both sides by 2. this will cancel out 1/2 and 2 and will give us: 2 (x+15) = 9x - 12 // distributive property on left hand side (LHS) of the equation 2x + 30 = 9x - 12 // isolate terms, our x, into the LHS by subtracting -9x on both sides of the equation. this will give us 2x -9x + 30 = 9x - 9x -12 // perform the operation. -7x + 30 = -12 // continue to isolate our x by subtracting 30 on both sides of the equation. this will give us: -7x + 30 - 30 = -12 - 30 // perform the operation -7x = -42 // look for the value of x by dividing both sides of the equation by -7 x = 6

12. UnicornPoopCookies Group Title

Yeah i figured it out ether way thank you i just had to look over my notes i was way off.