Question

1. wx = 9y & zy = 2y + 21 23. x = y =

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, opposite sides are equal. So \(ZY = WX\).
Given \(WX = 9y\) and \(ZY=2y + 21\), we have the equation \(9y=2y + 21\).

Step2: Solve the equation for \(y\)

Subtract \(2y\) from both sides of the equation \(9y=2y + 21\).
\(9y-2y=2y + 21-2y\), which simplifies to \(7y=21\).
Divide both sides by \(7\): \(y=\frac{21}{7}=3\).

Step3: Find the value of \(x\)

Since \(3x = 45\) (assuming the side length relationship from the parallelogram properties, as the side with length \(45\) is equal to the side with length \(3x\)).
Divide both sides by \(3\): \(x=\frac{45}{3}=15\).

Answer:

\(x = 15\), \(y = 3\)