Question

polygon v is a scaled copy of polygon u.
what is the value of w?

Explanation:

Step1: Find the scale factor

Since polygon \(V\) is a scaled - copy of polygon \(U\), we can find the scale factor using the corresponding sides. Let's use the sides \(2.3\) (from polygon \(U\)) and \(2.99\) (from polygon \(V\)).
The scale factor \(k=\frac{2.99}{2.3}\)

$$k = 1.3$$

Step2: Calculate the value of \(w\)

We know that the side of length \(5\) in polygon \(U\) corresponds to the side of length \(w\) in polygon \(V\). Using the scale factor \(k = 1.3\), we have \(w=5\times k\)

$$w=5\times1.3$$

$$w = 6.5$$

Answer:

\(6.5\)