Answer:
GH = 15
Explanation:
14. BC = 19
GH = 9x - 3
FE = 5x + 1
Given that GH is the midsegment of the trapezoid, therefore:
GH = (BC + FE)/2
Plug in the values
9x - 3 = (19 + 5x + 1)/2
9x - 3 = (20 + 5x)/2
Multiply both sides by 2
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 2
✔️GH = 9x - 3
Plug in the value of x
GH = 9(2) - 3 = 18 - 3
GH = 15