Question

Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.

x =

Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?

Answer 1

x = 3

Explanation:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.

`(x + 9)(9) = (12 + 6)(6)`

`9x + 81 = 108`

`9x = 27`

`x = 3`