Question

1. find x. a (10x - 23)° c d 106° b x =

Explanation:

Step1: Use the property of a circle's central angles

The sum of central angles in a semicircle is \(180^{\circ}\). So, \((10x - 23)+106 = 180\).

Step2: Simplify the equation

\(10x-23 + 106=180\) simplifies to \(10x+83 = 180\).

Step3: Solve for \(x\)

Subtract \(83\) from both sides: \(10x=180 - 83\), so \(10x = 97\). Then divide by \(10\): \(x=\frac{97}{10}=9.7\).

Answer:

\(9.7\)