Question

Hey!

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!

Answer 1

9514 1404 393

Answer:

A) JM = 30

B) x = 11

C) x = 18

Explanation:

A) Chords the same distance from the circle center have the same length.

KL = 2×15 = 30 = JM

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B) Tangents from the same point have the same length.

2x -14 = x -3

x = 11 . . . . . . . . . add 14-x to both sides

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C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.

x² = 12(12 +15) = 324

x = √324

x = 18