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natita [175]
3 years ago
13

C 50 D 30 HELP PLEASE WILL MARK U BRAINLIST!

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

D. 30

Step-by-step explanation:

The triangle PQR will become LMN when rotated 90 degrees

however the inside angles is missing for R, to solve:

since the sum of 3 angles inside a triangle is 180, then

m∡RPQ + m∡PRQ + m∡QRP = 180

m∡PRQ = 180 - 50 - 100 = 30°

the problem is asking for the angle ∡LNM which is the same as ∡PRQ

m∡PRQ = ∡LNM = 30

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According to the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

Using the given values, we can find the angle B and find the number of possible triangles that can be formed.

\frac{2}{sin(75)}= \frac{3}{sin(B)} \\  \\ 
sin(B)=3* \frac{sin75}{2}  \\  \\ 
sin(B)=1.45 \\  \\ 
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elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

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