Question

given △cro≅△sby, find the value of x.

Explanation:

Step1: Identify corresponding sides

Since $\triangle CRO\cong\triangle SBY$, corresponding sides are equal. Side $RO$ corresponds to side $BY$. So $RO = BY$.

Step2: Set up equation

We know that $RO = 12$ and $BY=2x - 4$. Then we set up the equation $12=2x - 4$.

Step3: Solve for x

Add 4 to both sides of the equation: $12 + 4=2x-4 + 4$, which simplifies to $16 = 2x$. Divide both sides by 2: $\frac{16}{2}=\frac{2x}{2}$, so $x = 8$.

Answer:

$x = 8$