Question

Which represents the value of What is the length of line segment DG?

4 units
7 units
12 units
23 units

Answer 1

The length of x is 12 units

Answer 2

12 units

Step-by-step explanation

This can be solved using the properties of a circle.

DG and EG are secants f the circle.

DG×HG =EG×FG

(x+3+5)×5 = (x+6)×6

(x+8)5 = 6x + 36

5x +40 = 6x + 36

x = 4

DG = (x+3+5)

= 4 + 3 + 5

= 12 units