Two triangles are similar if their only difference is its size.
With this in mind we have to find wich sides are corresponding to each other.
First triangle:
From the arrow we notice that the corresponding sides are:
[tex]\begin{gathered} 7\rightarrow y \\ 5\rightarrow x \\ 3\rightarrow2 \end{gathered}[/tex]
From the last corresponding side we know that the ratio is
[tex]\frac{2}{3}[/tex]
This means that the smaller triangle has dimensions of 2/5 the size of the big triangle.
With this in mind we have:
[tex]\begin{gathered} x=(5)(\frac{2}{3})=\frac{10}{3}=3.3 \\ y=(7)(\frac{2}{3})=\frac{14}{3}=4.6 \end{gathered}[/tex]
Second triangle:
The corresponding sides in this case are
[tex]\begin{gathered} 24\rightarrow x \\ 18\rightarrow y \\ 30\rightarrow20 \end{gathered}[/tex]
In this case the ratio is
[tex]\frac{20}{30}=\frac{2}{3}[/tex]
Therefore
[tex]\begin{gathered} x=24\cdot\frac{2}{3}=16 \\ y=18\cdot\frac{2}{3}=12 \end{gathered}[/tex]
