Question

Solve for x in the diagrams above.

Answer 1

Answer:
`x=2`

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:

`(3)(3+5)=(4)(4+x)`

Knowing this, we can solve for "x". Therefore, this is:

`(3)(8)=(4)(4+x)\\\\24=16+4x\\\\24-16=4x\\\\8=4x\\\\(8)/(4)=x\\\\x=2`