Question

Determine which type of segments are in the picture below. Based on the properties above, explain how to solve for x. Give as much detail as possible

Answer 1

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