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

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.
[tex]\frac{c}{k}=\frac{a}{j}\\\\\frac{c}{32}= \frac{15}{24}[/tex]
To solve for c, multiply numerators and denominators across the equal sign:
24c = 32(15)
24c = 480
c = 20