Answer:
x = 3
Explanation:
Formula
CE * DE = AE * BE
Notice how the chords cut each other. Also notice how the segments are equated. See the givens.
Givens
CE = 3
DE = x + 11
AE =x+3
BE = 7
Solution
3*(x + 11) = 7(x + 3) Remove the brackets
3x + 33 = 7x + 21 Subtract 21 from both sides
3x + 33 - 21 = 7x Combine the left
3x + 12 =7x Subtract 3x from both sides
12 = 7x - 3x
12 = 4x Divide by 4
12/4 = 4x/4
x = 3