ΔABC is similar to ΔAXY by a ratio of 5:2. If AC = 30, what is the length of AY?

Solution
[tex]\frac{5}{2}=\frac{30}{AY}[/tex]Solve for AY
[tex]\begin{gathered} 5AY=60 \\ divide\text{ both sides by 5} \\ \frac{5AY}{5}=\frac{60}{5} \\ \\ AY=12 \end{gathered}[/tex]The final answer
[tex]AY=12[/tex]