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Circle J is congruent to circle P. Circles J and P are congruent. Chords O K and Q R are congruent and chords K M and R T are congruent. If OK = 2x, QR = 12, and RT = x + 3, what is the length of chord KM? 8 9 10 12

Respuesta :

Answer: 9

Step-by-step explanation:

The value of KM can be found from the given relations and equations.

Response:

  • KM is 9

Which method can be used to find KM from the given information?

The given information and equations are;

OK ≅ QR

KM ≅ RT

OK = 2·x

QR = 12

RT = x + 3

Required:

  • The length of RT

Solution:

OK = QR = 12 by definition of congruency

Which gives;

OK = 2·x = 12

[tex]x = \dfrac{12}{2} = 6[/tex]

x = 6

KM = RT by definition of congruency

KM = RT = x + 3

KM = 6 + 3 = 9

  • KM = 9

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