3 years ago

Find the measure of line segment MK

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

9514 1404 393

Answer:

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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Find the measure of line segment MK​

Find the measure of line segment MK