Answer:
Option B
Step-by-step explanation:
By the midsegment theorem,
"Midsegment of a trapezoid is half the sum of the parallel bases"
By this theorem,
y + 6 = [tex]\frac{1}{2}[(3y-7)+(y+3)][/tex]
2(y + 6) = (3y + y) +(-7 + 3)
2y + 12 = 4y - 4
2y - 4y = -12 - 4
-2y = -16
2y = 16
y = 8
Therefore, length of the midsegment = y + 6
= 8 + 6
= 14
Option B will be the answer.
