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2 years ago

14

Please help me with this !!!

2 answers:

allsm [11]2 years ago

5 0

Answer:

Step-by-step explanation:

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

liraira [26]2 years ago

3 0

Answer:

$\fbox {P = 6.76 cm}$

Step-by-step explanation:

<u>Finding the missing angle</u> :

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

<u>Applying the Law of Sines</u> :

$\boxed {\frac{sin P}{P} = \frac{sin R}{PQ}}$

<u>Substituting the known values</u> :

sin 22° / P = sin 86° / 18
P = sin 22° × 18 / sin 86°
P = 0.374606593 × 18 / 0.99756405
P = 6.76 cm

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