Question

8 numeric 1 point given circle p. what is the value of x? answer

Explanation:

Step1: Use the property of circle radii

In a circle, all radii are equal. So \(PR = PO\).
Since \(PO=x + 175\) and \(PR = 5x+2\), we can set up the equation \(x + 175=5x+2\).

Step2: Solve the linear equation

Subtract \(x\) from both sides:
\(x+175 - x=5x + 2-x\)
\(175 = 4x+2\)
Subtract \(2\) from both sides:
\(175-2=4x+2 - 2\)
\(173 = 4x\)
Divide both sides by \(4\):
\(x=\frac{173}{4}=43.25\)

Answer:

\(43.25\)