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Please help me with this !!!

Please help me with this !!!-example-1

2 Answers

3 votes

Answer:

Explanation:

I assume that QP = 18 cm and m∠Q = 72°

Please help me with this !!!-example-1
User Dstreit
by
3.3k points
5 votes

Answer:


\fbox {P = 6.76 cm}

Explanation:

Finding the missing angle :

  • 22° + ∠R + 72° = 180°
  • ∠R = 180° - 94°
  • ∠R = 86°

Applying the Law of Sines :


\boxed {(sin P)/(P) = (sin R)/(PQ)}

Substituting the known values :

  • sin 22° / P = sin 86° / 18
  • P = sin 22° × 18 / sin 86°
  • P = 0.374606593 × 18 / 0.99756405
  • P = 6.76 cm
User Jason
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2.9k points