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3 years ago

What is the answer ?? UD = ?

Mathematics

1 answer:

serg [7]3 years ago

4 0

Answer:

UD = 20

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the entire secant, that is

12² = 7.2(7.2 + CD)

144 = 7.2² + 7.2CD

144 = 51.84 + 7.2CD ( subtract 51.84 from both sides )

92.16 = 7.2CD ( divide both sides by CD )

12.8 = CD

Thus

UD = UC + CD = 7.2 + 12.8 = 20

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