Question

Find KE the answer is 40 I just need help getting to it.​

Answer 1

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