A. Given (This is part of the original problem)
b. Supplementary angles form 180 degrees (The definition of supplementary angles is that two or more angles have a sum of 180 degrees. DC is a straight line and has a measure of 180 degrees)
c. Substitution (Given the two previous statements, they are each equal to 180 degrees. Since 180=180 then you can substitute the angles in the equation.)
d. Subtraction (m<2 is being subtracted)
e. Subtraction postulate (Since the same quantity was being subtracted from each side of the equation, they are still equal)
Answer:
Part a
The regression equation is, 
Part b
The number of crimes for a city at 20 police officers was appointed is approximately 10.
Step-by-step explanation:
<u>x y xy x² y²</u>
15 17 255 225 289
17 7 119 289 49
17 13 221 289 169
12 21 252 144 441
25 5 125 625 25
11 19 209 121 361
27 7 189 729 49
22 6 132 484 36
146 95 502 2906 1419
Therefore,


The calculation of the intercept coefficient is as follows:


The regression equation is, 
b)
The calculation is as follows:

≅ 10
The number of crimes for a city at 20 police officers was appointed is approximately 10.
The number of crimes for a city at 20 police officers was appointed is approximately 10.
That is, the number of polices increases then the number of crimes will be decreases.
Answer:
60
Step-by-step explanation:
The given function is:

The average rate of change of h(t) from t=a to t=b is given by:

We can rewrite this function as: 
The maximum height of the rocket is 231 and it occurs at t=3.75

The initial launch occurs at: t=0
and 
The average rate of change from the initial launch to the maximum height is

Number 5. 7776 in squared
Answer:
x=
−4
/3
y+5
Step-by-step explanation: