Question

PLEASE HELP ME!! (40 points given!)
Study the diagram, where AB and CD are chords that intersect inside of the circle at point P, which is not the center. What is the length of x?


A: 8
B: 11
C: 6
D: 14
E: 12

Answer 1

The diameter is always same in the circle from one end to another end

Explanation:

$\hookrightarrow$ 10 * x = 8 * (3 + x)

$\hookrightarrow$ 10(x) = 24 + 8(x)

$\hookrightarrow$ 10(x) - 8(x) = 24

$\hookrightarrow$ 2(x) = 24

$\hookrightarrow$ x = 12

Answer 2

E: 12

What happens when chords AB and CD intersect at P?

In the diagram above, chords AB or CD intersect at P forming two pairs of congruent vertical angles, ∠APD≅∠CPB or ∠APC≅∠DPB. The chords also divide the circle into 4 arcs, if the 2 chords intersect inside of the circle, the product of the lengths of their respective line segments is =.

10 * x = 8 * (3 + x)

10(x) = 24 + 8(x)

10(x) - 8(x) = 24

2(x) = 24

x = 12

Learn more chords about here https://brainly.com/question/21686011

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