Question

Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.

Select one:
a. 2.3
b. 0.9
c. 2.8
d. 3.4

Answer 1

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