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the segment below is dilated by a scale factor of 5 to form $overline{d…

Question

the segment below is dilated by a scale factor of 5 to form $overline{de}$. what is the measure of $de$? d 12 e

Explanation:

Step1: Recall dilation formula

The length of a dilated segment $D'E'$ is given by the product of the scale - factor $k$ and the length of the original segment $DE$. That is $D'E'=k\times DE$.

Step2: Substitute values

We know that $k = 5$ and $DE=12$. So $D'E'=5\times12$.

Step3: Calculate result

$5\times12 = 60$.

Answer:

60