Answer: n=6
Step-by-step explanation:
- The intersecting chords theorem says that when two chords intersect each other inside a circle then the products of their segments are equal.
Therefore from the given figure, by intersecting chords theorem we have
[tex](n+4)\times7=5\times(n+8)\\\\\Rightarrrow7n+28=5n+40\\\\\Rightarrow7n-5n=40-28\\\\\Rightarrow2n=12\\\\\Rightarrow n=6[/tex]
Hence, the value of n = 6 units
