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35 votes
35 votes
Geometry please help!!!!!!! 20 Points show your work!! Please

Geometry please help!!!!!!! 20 Points show your work!! Please-example-1
User Doug Stevenson
by
3.1k points

1 Answer

28 votes
28 votes

Answer:

x ≈ 5.6

Explanation:

given 2 secants drawn from an external point to the circle , then

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

17(17 + x) = 12(12 + 20)

289 + 17x = 12 × 32 = 384 ( subtract 289 from both sides )

17x = 95 ( divide both sides by 17 )

x ≈ 5.6 ( to the nearest tenth )

User Amory
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3.0k points