Question

HELP PLEASE!

In this figure shown, EF is the mid segment of trapezoid ABCD. Find EF.

Answer 1

x = 2

Explanation:

EF = ½(BC + AD) => Trapezoid Midsegment theorem

Substitute

5x + 4 = ½((4x + 1) + (7x + 5))

5x + 4 = ½(4x + 1 + 7x + 5)

Multiply both side by 2

2(5x + 4) = 4x + 1 + 7x + 5

10x + 8 = 4x + 1 + 7x + 5

10x + 8 = 11x + 6

Collect like terms

10x - 11x = -8 + 6

-x = -2

Divide both sides by -1

x = 2