Question

what is rs? rs =

Explanation:

Step1: Set up equation

Since the two - segment lengths on the vertical line are equal (by the property of the figure, likely an isosceles - related property where the perpendicular bisector is involved), we have $5z=z + 72$.

Step2: Solve for z

Subtract z from both sides: $5z−z=z + 72−z$, which simplifies to $4z=72$. Then divide both sides by 4: $z=\frac{72}{4}=18$.

Step3: Find RS

We know that $RS=z + 72$. Substitute $z = 18$ into the equation, so $RS=18+72$.

Answer:

90