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1 year ago

Solve number 6 please

Mathematics

1 answer:

Reptile [31]1 year ago

4 0

Answer:

Step-by-step explanation:

if 2 chords of a circle intersect , then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

KN × JN = LN × MN

(x - 4)(x + 23) = (x + 14)(x - 1) ← expand factors on both sides using FOIL

x² + 19x - 92 = x² + 13x - 14 ( subtract x² from both sides )

19x - 92 = 13x - 14 ( subtract 13x from both sides )

6x - 92 = - 14 ( add 92 to both sides )

6x = 78 ( divide both sides by 6 )

x = 13

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