Question

in parallelogram wxyz, what is cy? 11 ft 15 ft 21 ft 23 ft

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(CW = CY\). Given \(CW=(x + 4)\text{ ft}\) and \(CY=(2x-7)\text{ ft}\), we set up the equation \(x + 4=2x-7\).

Step2: Solve the equation for \(x\)

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

Step3: Find the length of \(CY\)

Substitute \(x = 11\) into the expression for \(CY\). \(CY=2x-7\), so \(CY=2\times11-7=22 - 7=15\text{ ft}\).

Answer:

15 ft