Create an equation to solve for x using the trapezoid midsegment formula:

Answer:
Equation for x: 3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]
x = 9
CD = 17
GH = 21
Step-by-step explanation:
The midsegment formula for a trapezoid is
GH = [tex]\frac{CD + FE}{2}[/tex]
3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]
6x - 12 = 2x + 24
4x = 36
x = 9
CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17
GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21