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Rzqust [24]
3 years ago
9

explain step by step how to solve. please point out any similarities in the steps used for each question

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29


#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16


#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
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1st image:

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2nd image:

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Solve for n: -6(n -8) = 4(12 -5n) + 14n.​
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infinite solutions

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Given

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5 0
3 years ago
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The ratio of the angles in a triangle is 5:9:10. what is the measure of the largest angle?
Maksim231197 [3]

The measure of the largest angle is 75 degrees.

<h3>What is a triangle? </h3>

A triangle is a polygon with three sides and vertices. The sum of angles in a triangle is 180 degrees. Types of triangles include: right-angled triangle, isosceles triangle, equilateral triangle and scalene triangle.

<h3>What is the measure of the largest angle? </h3>

The measure of the largest angle = (largest ratio / sum of ratios) x 180

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Please find attached an image of a triangle. To learn more about a triangle, please check: brainly.com/question/9329354

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