Question

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

Explanation:

Step1: Recall parallelogram diagonals property

In a parallelogram, the diagonals bisect each other. So, \( WC = CY \). Given \( WC=(x + 4)\) ft and \( CY=(2x - 7)\) ft, we set them equal: \( x + 4=2x - 7 \).

Step2: Solve for \( x \)

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

Step3: Find \( CY \)

Substitute \( x = 11 \) into \( CY=(2x - 7)\): \( CY=2(11)-7=22 - 7 = 15 \) ft.

Answer:

15 ft