Answer:
The three angles form a "linear triplet" , so their measures must add up to 
Step-by-step explanation:
Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.
Answer:
--- Standard deviation
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Explain how the standard deviation is calculated.
<u>Start by calculating the mean</u>
To do this, we divide the sum of the products of grade and number of students by the total number of students;
i.e.

So, we have:



Next, calculate the variance using the following formula:

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset
So, we have:



Lastly, take the square root of the variance to get the standard deviation


--- approximated
<em>Hence, the standard deviation is approximately 11.28</em>
Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.
To answer the question above, calculate the price per ounce of cereal of each local grocery stores
Save-Some-More $0.33 / ounce
Save-The-Most $0.28 / ounce
Spend-Less-Money $0.27 / ounce
Cheap-Food $0.3 / ounce
Thus, the final arrangement should be: (1) Spend - Less-Money, (2) Save-The-Most, (3) Cheap-Food, (4) Save-Some-More
Subtract the one value from 180 and then divide that number by 2 to get the 2 values. So if one side is 90, they other sides would be 45 each