Question

quadrilateral z is a scaled copy of quadrilateral y.
what is the value of x?

Explanation:

Step1: Find the scale factor

Since quadrilateral \(Z\) is a scaled - copy of quadrilateral \(Y\), we can find the scale factor using the corresponding sides. Let's use the sides of length \(10\) and \(16.25\). The scale factor \(k=\frac{16.25}{10}=1.625\).

Step2: Calculate the value of \(x\)

The side of length \(5\) in quadrilateral \(Y\) corresponds to the side of length \(x\) in quadrilateral \(Z\). Using the scale factor \(k = 1.625\), we have \(x=5\times1.625\).

$$x = 8.125$$

Answer:

\(8.125\)