Answer:
The answer is x=12
Step-by-step explanation:
In order to determine the "x" value, we have to know about the tangent to a circle.
The line that joins two infinitely close points from a point on the circle is a Tangent. It means, the lines that intersect the circles exactly in one single point are tangents.
I have attached an image that shows a tangent to a circle. Also there is a formula that relates the segments of the circle.
According to the same notation of the image:
[tex]PS^2=PQ*PR[/tex]
In this case:
[tex]PS=6\\PQ=3\\PR=x\\6^2=3*x\\x=\frac{36}{3}=12[/tex]
Finally the answer is x=12
