Answer:
1. x = 36
2. x = -2, x = 5
Explanation:
Secant - Secant Power Theorem: 12(12 + x) = 10(18)
144 + x = 180
x = 36
Chord - Chord Power Theorem: (x - 2)(x + 7) = 4(2x - 1)
x^2 + 5x - 14 = 8x - 4
x^2 - 3x - 10 = 0
Factor:
(x + 2)(x - 5) = 0
x = -2, x = 5