sansdhitha2005 sansdhitha2005
  • 10-03-2020
  • Mathematics
contestada

In rectangle MNPQ, m∠QMP = 2m∠NMP and MP = 12 ft. Find MQ.

Respuesta :

25chopra 25chopra
  • 14-03-2020

Answer:

MQ=6

Step-by-step explanation:

∠QMP and ∠NMP are complementary.  (They are parts of one of the corner angles.)

∠QMP is 2/3 of the right angle (60 deg) and  ∠NMP is 1/3 (30 deg).

The leg opposite the 30 deg angle in a right triangle is half the length of the hypotenuse.

That is MQ = 12/2 = 6.

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