Question

11 multiple choice 1 point solve for x. x = 7.5 x = 10 x = 15 x = 5

Explanation:

Step1: Use the secant - tangent rule

If a tangent \(EA\) and a secant \(ED\) are drawn to a circle from an external point \(E\), then \(EA^{2}=EC\times ED\). Here, \(EA = 10\), \(EC=5\), and \(ED=(5 + x)\).
So, \(10^{2}=5\times(5 + x)\).

Step2: Solve the equation

$$
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Answer:

\(x = 15\) (the third option)