Question

question the segment below is the image of $overline{wx}$ after dilation by a scale factor of 5. what is the measure of $overline{wx}$?

Explanation:

Step1: Recall dilation formula

Let the original length be $l$, the scale - factor be $k$, and the new length be $l'$. The formula is $l'=k\times l$.

Step2: Rearrange formula to find original length

We know $l' = 60$ and $k = 5$. Rearranging gives $l=\frac{l'}{k}$.

Step3: Substitute values

Substitute $l' = 60$ and $k = 5$ into the formula: $l=\frac{60}{5}=12$. So the measure of $\overline{WX}$ is 12.

Answer:

12