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

Answer:

The value of n is 4.

Step-by-step explanation:

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

$|AP|\times |PB|=|CP|\times |PD|$

Using the theorem of intersection of two cords, we get

$(n-2)\times 16=8\times (n+8)$

Use distribution property,

$16n+32=8n+64$

$16n-8n=64-32$

$8n=32$

Divide both sides by 8.

$n=\frac{32}{8}$

$n=4$

Therefore the value of n is 4.