Question

equations up and solve for x. no work = no credit. 2) $\triangle abccong\triangle rwg$

Explanation:

Step1: Set equal corresponding sides

Since $\triangle ABC\cong\triangle RWG$, the corresponding sides are equal. Side $AC$ corresponds to side $RW$. So we set up the equation $2x - 7=5x + 12$.

Step2: Isolate $x$ - terms on one side

Subtract $2x$ from both sides: $2x-7-2x=5x + 12-2x$, which simplifies to $-7 = 3x+12$.

Step3: Isolate the constant - term on one side

Subtract 12 from both sides: $-7-12=3x+12 - 12$, resulting in $-19 = 3x$.

Step4: Solve for $x$

Divide both sides by 3: $x=-\frac{19}{3}$.

Answer:

$x =-\frac{19}{3}$