Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
<h3>
Answer: m = 25</h3>
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Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
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A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
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Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.
Answer:
f(x) = -34x + 320
Step-by-step explanation:
In the figure attached, the graph of the data and the options are shown.
We can see from the graph that the best fit line for the data would have a negative slope (as x values increase, y values decrease) and a positive y-intercept (the y value at x = 0). The only option that satisfies these two criteria is f(x) = -34x + 320
40,000 divided by 20 equals 2,000. 8 times 2,000 equals 16,000 so 16,000 out of 40,000 students would be absent from school less than five days a year.
Answer:
2/9
Step-by-step explanation:
2/3 / 3= 2/9
