2 years ago

Determine the value of x. Assume the segments that appear tangent are tangent

Mathematics

1 answer:

siniylev [52]2 years ago

4 0

9514 1404 393

Answer:

x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

(x -2)(x +6) = 9×20

x² +4x -12 = 180

x² +4x +4 = 196 . . . . . add 16 (complete the square)

(x +2)² = 14²

x +2 = 14 . . . . . . . . . . . positive root is the only one useful

x = 12

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