Answer:
f) 
e) 
d) 
c) 
b) 
a) 
Step-by-step explanation:
- m∠5 ≅ m∠4; Angle Correspondence Theorem
- m∠5 ≅ m∠1; Alternate Interior Angles Theorem
- m∠6 ≅ m∠2; Alternate Exterior Angles Theorem
- 180° = m∠2 + m∠1; Definition of Linear Pair [Supplementary Angles]
- 180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]
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Answer: 19
Step-by-step explanation:
Answer:
1) There are 13 students in Jerry's study.
2) There are 39 students in Kathy's study.
3) Jerry's study is more trustworthy!
Step-by-step explanation:
1) Jerry's study is the one with the dot plot.
Now, the number of students is calculated by adding the total number of dots in the plot.
We have a total of 13 dots.
Thus, there are 13 students in Jerry's study.
2) Kathy's study is the one with the histogram.
The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.
Total number of students = 9 + 11 + 7 + 12 = 39 students
3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.
Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
- The constant rate of change of the function is; <u>-5.25</u>
- The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>
Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
![\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7Br%7Cc%7Cc%7Cc%7Cc%7C%7DDays%260%261%262%263%5C%5CMoney%20Remaining%26%2644.75%2639.5%26%5Cend%7Barray%7D%5Cright%5D)
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>
Learn more about the constant rate of change of a function here:
brainly.com/question/10007759
brainly.com/question/16644839
V = r² π h + 1/2 · 4/3 r³ π
V = 6² · 22/7 · 198 + 4/6 · 6³ · 22/7
V = 36 · 22 · 24 + 144 · 22/7 = 19,008 + 452.57 = 19,460.57 ≈ 19,461 ft³
Answer: B ) 19,461 ft³
