Question

1. given △cat≅△dog, find the value of x.

Explanation:

Step1: Set equal corresponding sides

Since $\triangle CAT\cong\triangle DOG$, corresponding sides are equal. Assume $AT = DG$. So $4x - 12=20$.

Step2: Solve the equation for x

Add 12 to both sides of the equation: $4x-12 + 12=20 + 12$, which simplifies to $4x=32$. Then divide both sides by 4: $x=\frac{32}{4}$.

Answer:

$x = 8$