Given RST similar to UVT
This means the corresponding sides are proportional to each other.
Thus, we can write ratios and solve for the variables.
First,
12 corresponds to 4
x corresponds to 6
We can write a ratio and solve for x:
[tex]\begin{gathered} \frac{12}{4}=\frac{x}{6} \\ 4x=6\times12 \\ 4x=72 \\ x=18 \end{gathered}[/tex]
Similarly, we can say:
12 corresponds to 4
y corresponds to 9
We can write a ratio and solve for y:
[tex]\begin{gathered} \frac{12}{4}=\frac{y}{9} \\ 4y=9\times12 \\ 4y=108 \\ y=27 \end{gathered}[/tex]
