Question

△abc ~ △msn. what is the value of x?

Explanation:

Step1: Set up proportion for similar triangles

Since $\triangle ABC\sim\triangle MSN$, the ratios of corresponding sides are equal. We can set up the proportion $\frac{AC}{MN}=\frac{AB}{MS}$. Let $AB = x$, $AC = 8$, $MN=6.4$, and $MS = 10.4$. So we have $\frac{8}{6.4}=\frac{x}{10.4}$.

Step2: Cross - multiply

Cross - multiplying gives us $6.4x=8\times10.4$.

Step3: Solve for x

First, calculate $8\times10.4 = 83.2$. Then $x=\frac{83.2}{6.4}=13$.

Answer:

13