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daser333 [38]
2 years ago
12

Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7)

Mathematics
1 answer:
Nuetrik [128]2 years ago
4 0

Slope for (x₁, y₁) and (x₂, y₂):      (-3, 0) and (2, 7)

Slope:      (y₂ -y₁) / (x₂ -x₁)

Slope:      ( 7 - 0) / (2 - -3)  =  7/(2 + 3) 

<span>Slope    = 7/5
</span>
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The approximate length of side a is 9.12 in. The correct option is B. 9.12 in

<h3>Law of Sines </h3>

From the question, we are to determine the approximate length of side a

From the given information, we have that

m∠B = 114°, m∠C = 22°

Thus,

m∠A = 180° - (114° + 22°)

m∠A = 180° - 136°

m∠A = 44°

Now,

From the law of sines, we have that

a/sinA = b/sinB

Then,

a/sin44° = 12/sin114°

a = (12 ×sin44°)/sin114°

a = 9.12 in

Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in

Learn more on Law of Sines here: brainly.com/question/24138896

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