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polygon ii is a scaled copy of polygon i. what is the value of m?

Question

polygon ii is a scaled copy of polygon i. what is the value of m?

Explanation:

Step1: Set up proportion

Since the polygons are similar, the ratios of corresponding sides are equal. So, \(\frac{2x}{15}=\frac{42}{35}\).

Step2: Cross - multiply

Cross - multiplying gives \(35\times2x = 15\times42\). So, \(70x=630\).

Step3: Solve for \(x\)

Divide both sides by \(70\). \(x=\frac{630}{70}=9\).

Answer:

\(9\)