In order to solve this exercise, it is important to remember that when two figures are similar the corresponding angles are congruent (this means that they have equal measure) and the ratios of the lengths of their corresponding sides are equal.
In this case, you know that the triangle XYZ and the triangle UVW are similar triangles. Let be "k" the scale factor of XYZ to UVW.
Based on the explained above, you can set up the following:
[tex]k=\frac{UV}{XY}[/tex]
You can identify that:
[tex]\begin{gathered} UV=12 \\ XY=60 \end{gathered}[/tex]
Then, substituting values into the equation, you get that:
[tex]k=\frac{12}{60}=\frac{1}{5}[/tex]
The answer
