Question

1. the triangles are similar by the aa similarity postulate. find the value of x. 1.5 15 1.7 17

Explanation:

Step1: Set up proportion

Since the triangles are similar by AA - similarity postulate, the ratios of corresponding sides are equal. So, $\frac{4}{4 + 8}=\frac{5}{x}$.

Step2: Cross - multiply

Cross - multiplying gives $4x=5\times(4 + 8)$.

Step3: Simplify right - hand side

$5\times(4 + 8)=5\times12 = 60$. So, $4x=60$.

Step4: Solve for x

Dividing both sides by 4, we get $x = 15$.

Answer:

15