Answer:
B. 10
Step-by-step explanation:
By the property of intersecting secants outside of a circle:
MN*MA = ML*MK
(x - 4) (x - 4 + 3) = (x - 5) (x - 5 + 6)
(x - 4) (x - 1) = (x - 5) (x + 1)
[tex] x^2 - 5x + 4= x^2 - 4x - 5[/tex]
[tex] - 5x + 4= - 4x - 5[/tex]
[tex] 5 + 4= 5x - 4x [/tex]
[tex] 9 = x [/tex]
KM = x - 5 + 6 = 9 - 5 + 6 = 10
