Answer:
13. x = 1.5
14. x = 4
Step-by-step explanation:
13. (IK)(IJ) = (IH)² => secant-tangent theorem/rule
Substitute
(0.5 + x)(0.5) = (1)²
0.25 + 0.5x = 1
Subtract both sides by 0.25
0.5x = 1 - 0.25
0.5x = 0.75
Divide both sides by 0.5
x = 0.75/0.5
x = 1.5
14. (JH)(JI) = (JK)² => secant-tangent theorem
(4 + x)(4) = 8²
16 + 4x = 64
4x = 64 - 16
4x = 48
x = 48/4
x = 12
