The secant and the tangent form a relationship where
The tangent length^2 = the Short distance to the circle of the secant * the full length of the secant.
length of the tangent = 9.2
Short distance to the circle by the secant = 6.4
Secant length = 3x + 6.4
(3x + 6.4)*6.4 = 9.2^2 Remove the brackets.
19.2x + 6.4^2 = 9.2^2 Perform the squares.
19.2x + 40.96 = 84.64 Subtract 40.94 from both sides.
19.2x = 84.64 - 40.96
19.2x = 43.68 Divide by 19.2
x = 43.68 / 19.2
x = 2.278
Answer: A