## Algebra 1

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. $\frac{15}{20}=\frac{24}{32}$ $0.75=0.75$✔