Question

I need help fining X. I keep getting a negative number

A) 3

B) 4

C) 5

D) 6
Answer is A) 3

Answer 1

3

Explanation:

Answer 2

Answer: x = 3

Step-by-step explanation:

Hey there! This geometry problem can easily be solved using something known as power theorems of a circle.

There are 3 power theorems. Chord chord theorem, tangent secant theorem and secant secant theorem.

Since your diagram contains 2 intersecting cords of a circle, we're gonna have to use the chord chord theorem

Say chord AB of a circle intersects with chord CD of the same circle at O. Then the chord chord theorem states that AO×OB = CO×CD.

So in your diagram, according to the chord chord theorem,

6×1 = 2×x

2x = 6

2x/2 = 6/2 ( divide both sides by 2 to single out x in the LHS)

Then we have x = 3!!!

YAYYY we derived our answer!!!

Hope it helped ya