Question

select the proportion you would use to solve for x.
12
4
15
x
a. $\frac{x}{15}=\frac{16}{12}$
b. $\frac{x}{15}=\frac{12}{4}$
c. $\frac{x}{15}=\frac{16}{4}$
d. $\frac{x}{4}=\frac{15}{12}$

Explanation:

Step1: Use similar - triangle property

For similar triangles, the ratios of corresponding sides are equal. The two triangles are similar. The ratio of the side lengths of the larger triangle to the smaller triangle should be the same for all corresponding sides. The side lengths of the larger triangle are \(12 + 4=16\) and \(x\), and of the smaller triangle are \(4\) and \(15\). So the proportion is \(\frac{x}{15}=\frac{16}{4}\).

Answer:

C. \(\frac{x}{15}=\frac{16}{4}\)