Question

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

Answer 1

Answer:

Equation for x:    3x - 6 = $\frac{2x - 1 + 25}{2}$

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = $\frac{CD + FE}{2}$

3x - 6 = $\frac{2x - 1 + 25}{2}$

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