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Korolek [52]
3 years ago
5

Calculate the slope of the line ​

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

-5/4 or -1.25

Step-by-step explanation:

the points are (-6, -3) and (-2, -8)

the formula for slope is y2-y1/x2-x1

y2 is -8

y1 is -3

x2 is -2

x1 is -6

(-8+3)/(-2+6)

(-5)/(4)

-5/4 or -1.25

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The X and Y angles created by lines intersection in the pictures are 18° and 54°.

Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:

∠MON = ∠MOA +∠AON = 90°

∠MON = 72° + ∠AON = 90°

∠AON = 18° ... (i)

If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:

∠AOD = ∠BOC

∠AOC = ∠BOD

∠AOD + AOC = 180°

∠BOC + ∠BOD = 180°

Based on the picture, we know that:

∠BOC = x

∠AOC = ∠MOA + ∠MOC

∠AOC = 72° + y ...(ii)

∠AOD = ∠AON + ∠NOD

∠AOD = 18° +2x

∠BOC = 3x ... (iii)

Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:

∠BOC = ∠AOD

3x = 18° + 2x

x = 18° ... (iv)

To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we  know that:

∠AOC + ∠BOC = 180° ... (v)

Input equations (ii) and (iv) into (v)

∠AOC + ∠BOC = 180°

(72° + y) + 3x = 180°

72° + y + 3(18°) = 180°

126° + y = 180°

y = 54° ... (vi)

Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults

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Step-by-step explanation:

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2 years ago
Two of the Boy Scouts (exercise 19), Tom and Jerry, are weightlifters. They carry 50 lb. per trip. How many trips will each scou
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There are 50 animals in a shelter. Sixty percent of the animals are dogs. Which equation can be used to find the number of dogs
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