Answer:
The value of x is 1
Step-by-step explanation:
Remember that
The radius of the circle is perpendicular to the lines that are tangent to the circle
Applying the Pythagoras Theorem
[tex]6.1^{2}+(10x)^{2}=6.1^{2}+(9x+1)^{2}[/tex]
Simplify
[tex](10x)^{2}=(9x+1)^{2}[/tex]
[tex]10x=(9x+1)\\ \\ 10x-9x=1\\ \\x=1[/tex]
