Respuesta :

Answer:

x = 1.5

Step-by-step explanation:

Based in the tangent-secant theorem,

KI*JI = HI²

KI = (x + 0.5)

JI = 0.5

HI = 1

Plug in the values

(x + 0.5)(0.5) = 1²

0.5x + 0.25 = 1

0.5x = 1 - 0.25

0.5x = 0.75

x = 0.75/0.5

x = 1.5