Answer:
n = 2
Step-by-step explanation:
The intersecting chord theorem describes the relation between line segments in a circle formed by intersecting chords.
The product of line segments in a chord is equal to the product of line segments in the other chord if intersecting in a circle.
This means that:
(n + 16)(4) = (n + 6)(9)
4n + 64 = 9n + 54
–4n –4n
64 = 5n + 54
–54 –54
10 = 5n
5n = 10
÷5 ÷5
n = 2
________________
4n + 64 = 9n + 54
4(2) + 64 = 9(2) + 54
8 + 64 = 18 + 54
72 = 72 ✓
