Question

Need help on this math question

Answer 1

16.6

Explanation:

got it right online

Answer 2

`x = 16.6\ cm`

Explanation:

To answer this question use the secant line theorem.

If two secant segments are drawn towards a circle from an outer point, then the product of the length of the secant segment y and the length of its outer secant segment is equal to the product of the length of the other secant segment and its external secant segment.

This is:

`(12+6)*6 = (5+x)*5`

Now we solve the equation for the variable x

`18*6 = 5*5+x*5`

`108 = 25+5x`

`5x = 108-25`

`5x = 83`

`x = (83)/(5)`

`x = 16.6\ cm`