Question

triangle q is a scaled copy of triangle p.
9 6
12
12
16
triangle p triangle q
what is the value of x?

Explanation:

Step1: Find the scale - factor

Since triangle Q is a scaled copy of triangle P, we find the scale - factor by comparing corresponding sides. The ratio of the base sides is $\frac{16}{12}=\frac{4}{3}$.

Step2: Calculate the value of x

We use the scale - factor to find x. We know that $\frac{x}{6}=\frac{4}{3}$. Cross - multiply to get $3x = 24$. Then solve for x: $x=\frac{24}{3}=8$.

Answer:

8