Question

Line segments AB and CB intersect outside of circle P as shown below. What is the value of x?

Answer 1

4.5

Explanation:

The Interesecting Secants Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal. A secant is a straight line that cuts a curve in two or more points, so this definitely applies here, as both AB and CB interesect the circle twice.

Using this theorem, we can say that 6*3=4*x, so 18=4*x and x=4.5