Question

@FutureMathProfessor Find the value of x. If necessary, round your answer to the nearest hundredth. The figure is not drawn to scale.

Answer 1

is there options ?

Answer 2

19.34
10.49
110
9.22

Answer 3

"If a tangent from an external point D meets the circle at C and a secant from the external point D meets the circle at G and E respectively, then DC^2 = DG×DE." so in this case DC = x, DG = 5, and DE = 5+17,

x^2 = 5*(5+17)
x=10.488 = 10.49

Answer 4

:D

Answer 5

http://www.mathwarehouse.com/geometry/circle/tangent-secant-side-length.php#twoTangents

Answer 6

Thanks so much!