Answer: [tex]x=2[/tex]
Step-by-step explanation:
According to the Intersecting Secants Theorem, when two secants intersect each other outside a circle, then the products of their segments are equal.
Based on this, we can write this expression:
[tex](3)(3+5)=(4)(4+x)[/tex]
Knowing this, we can solve for "x". Therefore, this is:
[tex](3)(8)=(4)(4+x)\\\\24=16+4x\\\\24-16=4x\\\\8=4x\\\\\frac{8}{4}=x\\\\x=2[/tex]
