Question

PLEASE HELP!!

Examine the diagram, where AB←→ and CD←→ are secants to the circle, and they intersect inside of the circle at point P, which is not the center. What is the value of x?
A: 6
B: 5
C: 9
D: 1

Answer 1

x = 9

Explanation:

AP × BP = CP × DP

21*2x=27(x+5) {21*2x = 42x}

42x=27x+135 {27 * 5 = 135}

15x=135

Divide both sides by 15

15x/15 = 135/15

x=9.

[RevyBreeze]

Answer 2

C.

Explanation:

1) the rule is: AP*BP=CP*DP;

2) according to the rule above:

21*2x=27(x+5); ⇔ 42x=27x+135; ⇔ 15x=135; ⇔ x=9.

3) Finally, C: 9.