Question

question
$overline{uv}$ is dilated by a scale factor of $\frac{2}{3}$ to form $overline{uv}$. $overline{uv}$ measures 45. what is the measure of $overline{uv}$?
answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

$U'V'=k\times UV$, where $k$ is scale - factor.

Step2: Substitute values

Given $k = \frac{2}{3}$ and $UV = 45$, then $U'V'=\frac{2}{3}\times45$.

Step3: Calculate result

$\frac{2}{3}\times45 = 2\times15=30$.

Answer:

30