Question

the following shapes are similar. set up a proportion, then solve x.
△dcb ~ △tsr

x = type your answer...

Explanation:

Step1: Set up the proportion

Since \(\triangle DCB\sim\triangle TSR\), the ratios of corresponding sides are equal. So, \(\frac{SR}{CB}=\frac{TS}{DC}\). Substituting the given values, we get \(\frac{11x - 4}{60}=\frac{70}{50}\).

Step2: Cross - multiply

Cross - multiplying gives \(50(11x - 4)=60\times70\).
Expanding the left side: \(550x-200 = 4200\).

Step3: Solve for \(x\)

Add \(200\) to both sides: \(550x=4200 + 200\), so \(550x=4400\).
Divide both sides by \(550\): \(x=\frac{4400}{550}\).

Answer:

\(x = 8\)