Solve for x in the diagrams above.

Question

asked Jul 1, 2020 163k views

1 Answer

SvKris · Answer 1 · 2020-07-07T20:01:53+0000

Answer:

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:

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