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QUESTION IMAGE

figure a is a scale image of figure b. what is the value of x?

Question

figure a is a scale image of figure b.
what is the value of x?

Explanation:

Step1: Set up proportion

Since Figure A is a scale image of Figure B, the ratios of corresponding sides are equal. So, \(\frac{x}{10}=\frac{30}{25}\).

Step2: Solve for \(x\)

Cross - multiply: \(25x = 30\times10\), which is \(25x=300\). Then \(x=\frac{300}{25}\).

Answer:

\(12\)