Question

What is the value of n?

Enter your answer in the box.

n =

Answer 1

The answer is n = 4 I took the test. 

Answer 2

The value of n is 4.

Explanation:

Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then

`|AP|* |PB|=|CP|* |PD|`

Using the theorem of intersection of two cords, we get

`(n-2)* 16=8* (n+8)`

Use distribution property,

`16n+32=8n+64`

`16n-8n=64-32`

`8n=32`

Divide both sides by 8.

`n=(32)/(8)`

`n=4`

Therefore the value of n is 4.