Question

Find the mid segment of GH

Answer 1

B. 2

Explanation:

Based on the Midsegment of a trapezoid theorem:

GH = (BC + FE)/2

9x - 3 = (19 + (5x + 1))/2) (substitution)

9x - 3 = (20 + 5x)/2

Cross multiply

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

Collect like terms

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 26/13

x = 2