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
