Answer: 
Step-by-step explanation:
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':
Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:
Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → 
Vertex E' → 
Vertex F' → 
Answer:
The answer is Option B
Step-by-step explanation:
<u>Step 1: Find the points</u>
The leftmost point is: <em>(-3, -1)</em>
The next point is: <em>(-2, 2)</em>
The next point is: <em>(1, 0)</em>
The next point is: <em>(3, 1)</em>
The rightmost point is: <em> (4, -2)</em>
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Answer: The answer is Option B
First, we pay attention to the numerical coefficients of the terms in the series: 10, 21, 32, 43, 54, 65. Conclusively they form an arithmetic sequence with a common difference of 11. Thus, the next numerical coefficient is 76. Then, we pay attention to the letters which are just arrange alphabetically. The next letter ought to be G which needs to be capitalized. Thus, the answer is letter C. 76G.
Answer:
697109 pennies
Step-by-step explanation:
First, you use the formula A = P (1 + rt).
R= rate which is 5.3%
T= time which is 7 years.
P is the principle which is 18790
A= is the answer
so first you multiply 7*5.3% which you get 0.371
then you multiply that with 18790 which then you get 6971.09
if you want pennies you multiply it with 100 to get 697109
Answer: the fixed cost to rent the limousine is $200
Step-by-step explanation:
Let x represent the fixed cost rent the limousine.
Let y represent the cost of of hiring the driver of the limousine per hour.
It cost $500 to rent a limousine for 5 hours. This means that
x + 5y = 500 - - - - - - - - - - -1
It costs 800 to rent a limousine for 10 hours. This means that
x + 10y = 800 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 5y = - 300
y = - 300 /- 5
y = 60
Substituting y = 60 into equation 1, it becomes
x + 5 × 60 = 500
x + 300 = 500
x = 500 - 300
x = 200
