Question

What is the measure of c? A. 20 B. 14 C. 16 D. 22

Answer 1

Answer:

A

Step-by-step explanation:

The measurements of the segments fall on similar triangles. This means the lengths of each segment can be found using proportions.

Remember, a proportion is an equation which sets equal ratios equal to each other.

$\frac{c}{k}=\frac{a}{j}\\\\\frac{c}{32}= \frac{15}{24}$

To solve for c, multiply numerators and denominators across the equal sign:

24c = 32(15)

24c = 480

c = 20