Question

select the proportion you would use to solve for x.
a. $\frac{x}{3}=\frac{10}{9}$
b. $\frac{x}{10}=\frac{9}{3}$
c. $\frac{x}{3}=\frac{10}{6}$
d. $\frac{x}{6}=\frac{10}{3}$

Explanation:

Step1: Use similar - triangles property

For similar triangles, the ratios of corresponding sides are equal. The smaller and larger triangles are similar. The side of length $x$ in the small triangle corresponds to the side of length 10 in the large triangle, and the side of length 3 in the small triangle corresponds to the side of length $3 + 9=12$ in the large triangle. The correct proportion is $\frac{x}{3}=\frac{10}{12}=\frac{10}{3 + 9}$.

Answer:

C. $\frac{x}{3}=\frac{10}{12}$ (equivalent to $\frac{x}{3}=\frac{10}{6 + 6}$, assuming the intended proportion based on similar - triangle side - length relationships)