Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct

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