#### Answer

H) 15

#### Work Step by Step

This equation can be solved with cross multiplication. The side represented by $x$ on $ΔDEF$ is represented by $20$ on $ΔABC$. That creates the first expression, $\frac{x}{20}$. The side on $ΔDEF$ with the value of $24$, has the value of $32$ on $ΔABC$, making $\frac{24}{32}$.
To start solving for $x$, start with the equation below, and then cross multiply.
$\frac{x}{20}=\frac{24}{32}$
$32x=480$
$(32x)\div32=(480)\div32$
$x=15$
To make sure you have the right answer, insert $15$ into the original equation and make sure it checks out.
$\frac{15}{20}=\frac{24}{32}$
$0.75=0.75$✔