Question

solve for x. round to the nearest hundredth (2 decimal places)

Explanation:

Step1: Set up proportion

Assume the two - triangles are similar. Then we can set up the proportion $\frac{8x + 4}{54}=\frac{18}{62}$.

Step2: Cross - multiply

Cross - multiplying gives us $(8x + 4)\times62=54\times18$.
Expand the left - hand side: $496x+248 = 972$.

Step3: Isolate the variable term

Subtract 248 from both sides: $496x=972 - 248$.
$496x=724$.

Step4: Solve for x

Divide both sides by 496: $x=\frac{724}{496}\approx1.46$.

Answer:

$x\approx1.46$