in parallelogram wxyz, what is cy?\n11 ft\n15 ft\n21 ft\n23 ft

in parallelogram wxyz, what is cy?\n11 ft\n15 ft\n21 ft\n23 ft

in parallelogram wxyz, what is cy?\n11 ft\n15 ft\n21 ft\n23 ft

Answer

Explanation:

Step1: Use parallelogram property

In a parallelogram, the diagonals bisect each other. So, $WC = CY$. Given $WC=x + 4$ and $CY=2x - 7$, we set up the equation $x + 4=2x - 7$.

Step2: Solve 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 $CY$. $CY=2x - 7=2\times11 - 7$. $CY=22 - 7=15$.

Answer:

15 ft