Question

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

Explanation:

Step1: Set up proportion

Since Polygon \(S\) is a scaled - copy of Polygon \(R\), the ratios of corresponding sides are equal. Let's use the vertical sides \(9\) and \(t\), and another pair of corresponding sides (e.g., \(12\) and \(9.6\)). The proportion is \(\frac{9}{t}=\frac{12}{9.6}\).

Step2: Cross - multiply

Cross - multiplying gives \(12t = 9\times9.6\).

Step3: Solve for \(t\)

First, calculate \(9\times9.6 = 86.4\). Then, \(t=\frac{86.4}{12}\).

Answer:

\(t = 7.2\)