Question

triangle x is a scaled copy of triangle w. what is the value of y?

Explanation:

Step1: Find the scale - factor

Since the two triangles are similar (scaled - copies), we find the scale - factor by comparing the corresponding sides. Let's compare the sides of length 25 and 20. The scale - factor $k$ is given by the ratio of the sides of triangle $X$ to triangle $W$. So, $k=\frac{20}{25}=\frac{4}{5}$.

Step2: Calculate the value of $y$

We know that $y$ corresponds to the side of length 15 in triangle $W$. Using the scale - factor, we have $y = 15\times k$. Substituting $k=\frac{4}{5}$, we get $y=15\times\frac{4}{5}$.
$y = 12$

Answer:

12