Question

assume the triangles are similar. solve for x.
x = 11
x = 8
x = 200
x = 60

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{11x - 4}{60}=\frac{70}{50}$.

Step2: Cross - multiply

Cross - multiplying gives $(11x - 4)\times50=60\times70$.

Step3: Expand left - hand side

Expand: $550x-200 = 4200$.

Step4: Add 200 to both sides

$550x=4200 + 200$, so $550x=4400$.

Step5: Divide both sides by 550

$x=\frac{4400}{550}$.

Answer:

$x = 8$