Answer/Explanation:
The type of segments given in the picture are called secants.
The two secants meet at a point (A) outside the circle.
✅Thus, based on the secant -secant theorem:
AB*BC = AD*DE
AB = 4
BC = 8
AD = 3
DE = x
Plug in the values
4*8 = 3*x
32 = 3x
Divide both sides by 3
32/3 = x
10.67 = x
x = 10.67
