Answers:
- Angle X = 142 degrees
- Angle Y = 142 degrees
Both angles are the same measure
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Explanation:
We have a 5 sided polygon, so this is a pentagon.
For any pentagon, the five interior angles always add to 180(n-2) = 180(5-2) = 540 degrees. The formula 180(n-2) tells us the sum of the interior angles for any polygon with n sides.
The diagram shows the following angle values
- V = 119
- W = 47
- X = m
- Y = m
- Z = 90 (due to the square angle marker)
Both angles X and Y are equal to the same unknown value m. They are both the same measure because they both have the same arc marking.
Adding up those five angles should get us 540 as mentioned earlier
V+W+X+Y+Z = 540
119+47+m+m+90 = 540
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Let's solve for m
119+47+m+m+90 = 540
2m+256 = 540
2m = 540-256
2m = 284
m = 284/2
m = 142
Angle X has the measure of 142 degrees, and so does angle Y.
Answer:
They averaged 3lbs. a week for 4 weeks to get 12lb. They would need an additional 36lbs. to get to 48lbs. Averaging the same 3lbs. per week, this would take an additional 12 weeks for a total of 16 weeks.
d - 2 < -1 is how this inequality would be displayed.
However, we can solve for the value of d by treating this like a standard algebraic equation.
d - 2 < -1
<em><u>Add 2 to both sides.</u></em>
d < 1
The value of d is less than 1.
Let me know if you have any other questions.
Answer:
A. True
Step-by-step explanation:
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
