Question

what is the value of t?
polygon r
polygon s
polygon s is a scaled copy of polygon r.

Explanation:

Step1: Find the scale factor

Since Polygon \(S\) is a scaled - copy of Polygon \(R\), we can find the scale factor by comparing corresponding sides. Let's use the sides of length \(15\) (from Polygon \(R\)) and \(10\) (from Polygon \(S\)). The scale factor \(k=\frac{10}{15}=\frac{2}{3}\)

Step2: Calculate the value of \(t\)

We know that the side of length \(12\) in Polygon \(R\) corresponds to the side of length \(t\) in Polygon \(S\). Using the scale factor \(k = \frac{2}{3}\), we have the equation \(t=12\times k\). Substitute \(k=\frac{2}{3}\) into the equation: \(t = 12\times\frac{2}{3}\)

$$t=\frac{12\times2}{3}=8$$

Answer:

\(8\)