Answer:
y = 54
Step-by-step explanation:
We know the sum of the angles of a triangle are 180
72+y+y = 180
Combine like terms
72 + 2y = 180
Subtract 72 from each side
72-72 +2y = 180-72
2y = 108
Divide each side by 2
2y/2 = 108/2
y = 54
We'll use the notation for the principal value and for all the values:
Part I
Part II. In our range we can write
Part III.
Part IV.
X=-2
You can also check by plugging -2 in for x. Here is a picture. Please notify me if I made an error!
To best emphasize the number of defects. Manager should use graph 3 (refer the image shown):
If we talk about graph 1, it can also be used but usually we put the time line on the horizontal axis, for the convenience and the quantity to be measured on the y-axis. In the graph 1, the time is placed on the vertical axis (x-axis) so it would not be a good pick for the manager.
Same is the case with graph 2 again we have time on the vertical axis. So it is not a good idea to with graph 2.
Graph 3 could be the best to emphasize the number of defects because first of all time is placed on the horizontal axis and the quantity to be shown is on the vertical axis. Secondly, the range of the vertical axis is less so it is easy to observe the data set on the graph quite distinctively. Therefore, graph 3 is the best pick.
Graph 4 is placed correctly in terms of vertical and horizontal axes but the range of vertical axis is quite high due to which the dispersion or the display of the data is quite compressed and it gets hard to visualize.