Question

[PLEASE HELP] Two similar polygons are shown. Find the values of 'X' and 'y'.

Answer 1

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:

`\begin{gathered} (12)/(4)=(x)/(6) \\ 4x=6*12 \\ 4x=72 \\ x=18 \end{gathered}`

Similarly, we can say:

12 corresponds to 4

y corresponds to 9

We can write a ratio and solve for y:

`\begin{gathered} (12)/(4)=(y)/(9) \\ 4y=9*12 \\ 4y=108 \\ y=27 \end{gathered}`