Answer
EF = 11
Work Step by Step
Trapezoid Midsegment Theorem:
EF = 1/2 (AD + BC)
3x + 5 = 1/2(4 + (7x+4))
3x + 5 = 4 + 7/2x
(3 - 7/2)x = 4 - 5
x = -1 * (-2)
x= 2
EF = 3(2) + 5 = 6 + 5 = 11
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