Question

(9 + x) x = 6^2 solve for the missing variable

Answer 1

We know that:

If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the length of the secant segment and the length of its external segment equals the square of the length of the tangent segment.

In this circle this would mean that:

`6^2=9c`

Solving for c we have:

`\begin{gathered} 6^2=9c \\ 9c=36 \\ c=(36)/(9) \\ c=4 \end{gathered}`

Therefore, the value of c is 4