Question

I got this wrong the first time i did this, can someone please explain how they got their answer and give any tips to improve?

n = ___?

Answer 1

n = 2

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 ✓