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22 votes
SOLVE FOR X PLEASE!

FIND MN PLEASE!

SOLVE FOR X PLEASE! FIND MN PLEASE!-example-1
SOLVE FOR X PLEASE! FIND MN PLEASE!-example-1
SOLVE FOR X PLEASE! FIND MN PLEASE!-example-2
User Minty
by
5.8k points

1 Answer

8 votes

Explanation:

two secants in a circle originating from the same point.

then the product of outer length and total length is the same for both.

8x(8x+6x) = 7×(9+7)

8x × 14x = 63 + 49

112x² = 112

x² = 1

x = 1

(x - 3)(x - 3 + 16) = (x + 3)(x + 3)

(x - 3)(x + 13) = x² + 6x + 9

x² + 13x - 3x - 39 = x² + 6x + 9

x² + 10x - 39 = x² + 6x + 9

4x = 48

x = 12

MN = x + 3 = 12 + 3 = 15

User Dave Methvin
by
6.7k points