Question

the triangles are similar. what is the value of x? enter your answer in the box.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. We can set up the proportion $\frac{15}{5}=\frac{39}{x - 10}$.

Step2: Cross - multiply

Cross - multiplying gives us $15\times(x - 10)=5\times39$.

Step3: Expand left side

Expanding $15\times(x - 10)$ gives $15x-150 = 195$.

Step4: Add 150 to both sides

$15x=195 + 150$, so $15x=345$.

Step5: Solve for x

Dividing both sides by 15, we get $x=\frac{345}{15}=23$.

Answer:

23