Question

11 numeric 1 point if rs = 59 and st = 10x - 31, find x. answer previous

Explanation:

Step1: Use the property of congruent chords

In a circle, if two chords are congruent, then their lengths are equal. Here, chord \(RS\) and chord \(ST\) are congruent. So, \(RS = ST\).

Step2: Set up the equation

Given \(RS = 59\) and \(ST=10x - 31\), we substitute into the equation \(RS = ST\). So, \(59=10x - 31\).

Step3: Solve for \(x\)

Add \(31\) to both sides of the equation: \(59 + 31=10x-31 + 31\).
\(90 = 10x\).
Divide both sides by \(10\): \(\frac{90}{10}=\frac{10x}{10}\).

Answer:

\(9\)