Question

Given the median and trapezoid MNOP, what is the value of x? (Picture included)

Answer 1

what do you know about trapezoids?

Answer 2

Well i know it has two pairs of parallel sides.

Answer 3

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

\[QR=\frac{ 1 }{ 2 }(MP+NO)\]

Answer 4

let us try to solve for the x

Answer 5

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.

Answer 6

do you want to do this together or what @UnicornPoopCookies

Answer 7

I got 12?

Answer 8

show your solution

Answer 9

hello @unicornpoopcookies

the answer IS NOT 12
show how you got 12

Answer 10

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

Answer 11

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