Question

find the value of x. enter the correct value in the box. x = 13.38 x

Explanation:

Step1: Set up the equation

In a circle, if two central - angles are equal, then the arcs they intercept are equal. Assuming the two arcs are equal, we set up the equation \(7x - 7=6x + 13\).

Step2: Isolate the variable \(x\)

Subtract \(6x\) from both sides of the equation: \((7x-6x)-7=(6x - 6x)+13\), which simplifies to \(x-7 = 13\).

Step3: Solve for \(x\)

Add 7 to both sides of the equation: \(x-7 + 7=13 + 7\).

Answer:

\(x = 20\)