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Salsk061 [2.6K]
3 years ago
7

Can someone solve this?

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

  • x = 6
  • y = 18

Step-by-step explanation:

The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.

__

By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100

This is also the product of the distances on the secant that intersects the tangent:

  100 = 5(5+x+9)

  20 = x +14 . . . . . divide by 5

  x = 6 . . . . . . . . . . subtract 14

__

The same is true when the secants intersect <em>inside</em> the circle:

  6·9 = y·3

  y = 18 . . . . . . divide by 3

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What is 5/9 +1/3 = I appreciate all answers!!
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