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question $overline{ef}$ is dilated by a scale factor of $\frac{2}{3}$ t…

Question

question
$overline{ef}$ is dilated by a scale factor of $\frac{2}{3}$ to form $overline{ef}$. $overline{ef}$ measures 2. what is the measure of $overline{ef}$?
answer attempt 1 out of 2

Explanation:

Step1: Set up dilation formula

Let the length of $\overline{EF}$ be $x$. The dilation formula is $E'F'=\text{scale factor}\times EF$. So, $2 = \frac{2}{3}x$.

Step2: Solve for $x$

Multiply both sides by $\frac{3}{2}$. We get $x=2\times\frac{3}{2}=3$.

Answer:

3