Question

AB is a midsegment of trapezoid DEFG what is x?

Answer 1

D. 2

Explanation:

DEFG is a trapezoid and AB is its Midsegment.

Therefore,

`AB =(1)/(2)(DG + EF) \\ \\ 12 = (1)/(2) (5x - 4 + 8x + 2) \\ \\ 12 * 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = (26)/(13) \\ \\ x = 2`