If those triangles are similar, then, the ratio between their corresponding sides is equal. From this statement, we get the following equation:
[tex]\frac{x}{18}=\frac{16}{12}[/tex]
Solving this equation for x, we have:
[tex]\begin{gathered} \frac{x}{18}=\frac{16}{12} \\ x=18\times\frac{16}{12} \\ x=24 \end{gathered}[/tex]
The value of x is 24.
