Question

what is rs? rs =

Explanation:

Step1: Identify congruent segments

Since the segments with red - marks are congruent, we have \(8c=c + 70\).

Step2: Solve the equation for \(c\)

Subtract \(c\) from both sides: \(8c−c=c + 70−c\), which gives \(7c=70\). Then divide both sides by 7: \(c = 10\).

Step3: Find the length of \(RS\)

Substitute \(c = 10\) into the expression for \(RS\) (either \(8c\) or \(c + 70\)). Using \(c + 70\), we get \(RS=10 + 70=80\).

Answer:

80