Question

AD and MN are chords that intersect at point B.

A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.


What is the length of line segment MN?

Answer 1

C. 18 units

Explanation:

Answer 2

Explanation:

Given

See attachment

Required

Determine MN

The products of the segments of two chords that intersect are always, equal.

So, we have:

Open bracket

Collect like terms

Solve for x

The length of MN is calculated as:

Substitute