Answer:
The slope of the line is m = 1
Step-by-step explanation:
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m = y2-y1 / x2-x1
m = 2 - 5 / -1 - 2
m = -3 / -3
m = 1
X1 is 2
Y1 is 5
X2 is -1
Y2 is 2
I'll focus on problem 19 and problem 22
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Problem 19
Answers:
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Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
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Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
The lines are parallel, because they have the same gradient but are just in different positions ie. y = x-9.
P=3b
p is the total number of points scored. Since there are 3 points being scored, you multiply that by the number of baskets made, b.
