Question

I need help on this question I’m confused

Answer 1

Answer:

FG = 31

Step-by-step explanation:

By applying mid-segment theorem in the given trapezoid,

Segment joining midpoints of the nonparallel sides is parallel and measure the half of the sum of parallel sides.

FG = $\frac{1}{2}[UV+TW]$

(7x - 4) = $\frac{1}{2}[(6x-6)+38]$

2(7x - 4) = 6x + 32

14x - 8 = 6x + 32

14x - 6x = 32 + 8

8x = 40

x = 5

Therefore, FG = (7x - 4)

                        = 7(5) - 4

                        = 31