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3 years ago

Find the measure of KL.

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

Answer:

KL = 7

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the measures of one secants external part and the entire secant is equal to the product of the other secant's external part and the entire secant, that is

MN(MN + NC) = ML(ML + LK), that is

8(8 + 10x) = 9(9 + 7x) ← distribute both sides

64 + 80x = 81 + 63x ( subtract 63x from both sides )

17x + 64 = 81 ( subtract 64 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Hence

KL = 7x = 7 × 1 = 7

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Find the measure of KL.​

Find the measure of KL.