Question

What is the value of n?

Answer 1

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

$(n+4)\times7=5\times(n+8)\\\\\Rightarrrow7n+28=5n+40\\\\\Rightarrow7n-5n=40-28\\\\\Rightarrow2n=12\\\\\Rightarrow n=6$

Hence, the value of n = 6 units

Answer 2

Check the picture below

solve for "n"