Find the value of x in the diagram above
Intersecting Chords Theorem states that If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal. ⇒ AE * EB = CE * ED ⇒ 6 * x = 4 * (x + 5) ⇒ 6x = 4x + 20 ⇒ 6x - 4x = 20 ⇒ 2x = 20
∴ x=202 = 10 units