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nalin [4]
3 years ago
13

Find the measure of line segment MK​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

9514 1404 393

Answer:

  21

Step-by-step explanation:

When secants meet, the product of the length of the pieces from the meeting point to the two circle intersection points is the same for all.

  KL·KM = KJ·KC

Assuming the marks inside the circle apply only to the lengths inside the circle:

  8(8+x+5) = 7(7+2x+1)

  104 +8x = 56 +14x

  48 = 6x

  8 = x

Then the measure of MK is ...

  MK = x+13 = 8+13

  MK = 21

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