Question

solve for x.
△hgf≅△vut

Explanation:

Step1: Identify corresponding sides

Since $\triangle HGF\cong\triangle VUT$, corresponding sides are equal. Assume $HG$ corresponds to $VU$. So, $HG = VU$.

Step2: Set up the equation

We know $HG = 24.6$ and $VU=10x - 5$. Then the equation is $10x-5 = 24.6$.

Step3: Solve the equation for x

Add 5 to both sides: $10x=24.6 + 5=29.6$. Then divide both sides by 10: $x=\frac{29.6}{10}=2.96$.

Answer:

$x = 2.96$