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4. scale factor from a to b is 2:3. find x.

Question

  1. scale factor from a to b is 2:3. find x.

Explanation:

Step1: Set up proportion

Since the scale factor from \(A\) to \(B\) is \(2:3\), we have \(\frac{2}{3}=\frac{10}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(2x = 3\times10\).

Step3: Solve for \(x\)

\(2x=30\), then \(x=\frac{30}{2}=15\).

Answer:

\(15\)