Question

ANYONE KNOWS THE ANSWER FOR THESE TWO QUESTIONS?? Help please.

Solve for x.

Answer 1

13. x = 1.5

14. x = 4

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