Question

Solve for X. Assume that the lines that appear tangent are tangent.

Answer 1

The value of x is 1

Explanation:

Remember that

The radius of the circle is perpendicular to the lines that are tangent to the circle

Applying the Pythagoras Theorem

`6.1^(2)+(10x)^(2)=6.1^(2)+(9x+1)^(2)`

Simplify

`(10x)^(2)=(9x+1)^(2)`

`10x=(9x+1)\\ \\ 10x-9x=1\\ \\x=1`