Question

in parallelogram wxyz, what is cy? (x + 4) ft (2x - 7) ft 11 ft 15 ft 21 ft 23 ft

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, \(WG = GY\), which means \(x + 4=2x - 7\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides: \(4=x - 7\). Then add 7 to both sides: \(x=4 + 7=11\).

Step3: Find \(GY\)

Substitute \(x = 11\) into the expression for \(GY\) (\(GY=2x - 7\)). So \(GY=2\times11 - 7=22 - 7 = 15\) ft.

Answer:

15 ft