Answer: second option.
Step-by-step explanation:
According to the Intersecting Secants Theorem, the products of the segments of two secants that intersect each other outside a circle, are equal.
Then, we know that:
[tex](4)(4+5)=(3)(3+x)[/tex]
Having this expression, we need to solve for "x" in order to find its value.
Then, this is:
[tex](4)(4+5)=(3)(3+x)\\\\(4)(9)=9+3x\\\\36=9+3x\\\\36-9=3x\\\\25=3x\\\\x=\frac{27}{3}\\\\x=9[/tex]
