Question

What is the value of n?

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n =

Answer 1

n = 5

Explanation:

This problem follows the theorem "If two chords intersect each other inside a circle, the products of their segments are equal."

To follow this theorem, you must multiply both segments of the chord with each other.

Do it to both chords.

The two chords are equal to each other. It should look like:

18*(n+1) = 9*(n+7)

[distributive property]

18n + 18 = 9n + 63

9n = 45

n = 5

Answer 2

If two chords intersect each other inside a circle, the products of their segments are equal.

18(n+1) = 9(n+7)
18n + 18 = 9n + 63
18n - 9n = 63 - 18
9n = 45
n = 45/9
n = 5