cicilee49
cicilee49 cicilee49
  • 01-02-2019
  • Mathematics
contestada

#7. M is the midpoint of PQ, the diameter of the circle O is 13in. and RM = 4in.

Find PM

Find PQ

7 M is the midpoint of PQ the diameter of the circle O is 13in and RM 4in Find PM Find PQ class=

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sqdancefan
sqdancefan sqdancefan
  • 02-02-2019

Answer:

  • PM =6 in
  • PQ = 12 in

Step-by-step explanation:

  MS = RS - RM

  MS = 13 in - 4 in = 9 in

By the rules of crossing chords, ...

  MS × MR = PM × QM

  (9 in)(4 in) = PM² . . . . . QM = PM

  PM = √(36 in²) = 6 in

  PQ = PM + QM = 2×PM = 12 in

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