Answer:
EK = 8
Explanation:
Intersecting Chords Formula: a • b = c • d
BK * KD = EK * KC
4 * 10 = (x+1) * (x-2)
40 = x^2 +x-2x-2
40 = x^2 -x -2
0 = x^2 - x-2-40
0 = x^2 -x -42
Factor
0 = (x-7) (x+6)
Using the zero product property
x-7 = 0 x+6 =0
x=7 x=-6
X is not negative
x=7
EK = x+1
EK = 7+1
EK = 8