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2. the length of $overline{ab}$ is 5 units. what is the length of the i…

Question

  1. the length of $overline{ab}$ is 5 units.

what is the length of the image of the line segment after a dilation with a scale factor of $\frac{5}{3}$?
enter your answer as a fraction in simplest terms or as an exact decimal in the box.

Explanation:

Step1: Recall dilation length rule

The length of a dilated segment is the original length multiplied by the scale factor.

Step2: Calculate new length

Multiply original length by scale factor:
$5 \times \frac{5}{3} = \frac{25}{3}$

Answer:

$\frac{25}{3}$ (or $8.\overline{3}$ as an exact decimal)