Question

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triangle r is a scaled copy of triangle q. what is the value of p?

Explanation:

Step1: Find the scale factor

The scale factor is the ratio of corresponding sides. The side of length \(3\) in triangle \(Q\) corresponds to the side of length \(4.5\) in triangle \(R\). The scale factor \(k=\frac{4.5}{3}=1.5\).

Step2: Calculate the value of \(p\)

The side of length \(2.4\) in triangle \(Q\) corresponds to the side of length \(p\) in triangle \(R\). Using the scale - factor, we have \(p = 2.4\times k\). Substitute \(k = 1.5\) into the equation: \(p=2.4\times1.5\).

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Answer:

\(3.6\)