Question

ACDF is a trapezoid and BE is a midsegment. X=?

Answer 1

keeping in mind that the mid-segment of a trapezoid is simply half the sum of the parallel sides or "bases", Check the picture below.

`B E=\cfrac{C D+A F}{2}\implies 2x+10=\cfrac{18~~ + ~~(6x-12)}{2}\implies 4x+20=6x+6 \\\\\\ 20=2x+6\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x`