Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = 
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = 
= 
= 
= 
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = 
= 
= 
= 
Since ≈ , then CD and EF are not congruent
8 - m/n + p^2
8 - 8/2 + 2^2
8 - 4 + 4
4 + 4
8
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Answer:
This means that if you have that amount of those and you do whatever the rest of the question is.
Step-by-step explanation:
Answer:
1. $20280
2. 117 h
Step-by-step explanation:
1.
to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning
x = car value
x = $3000 + 48 * $360
x = $3000 + $17280
x = $20280
The total cost of the car is $20280
2.
To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week
x = hours that work in all
x = 5 * 12 + 57
x = 60 + 57
x = 117
work for 117 hours in all
Number of faces: F=a+3
Number of vertices: V=2a
Number of edges: E=4a-1
V+F-E=2
Replacing V=2a; F=a+3; and E=4a-1 in the formula above:
(2a)+(a+3)-(4a-1)=2
Eliminating parentheses:
2a+a+3-4a+1=2
Adding similar terms:
(2+1-4)a+(3+1)=2
(-1)a+4=2
Solving for a. Subtracting 4 both sides of the equation:
(-1)a+4-4=2-4
(-1)a=-2
Dividing both sides by (-1)
(-1)a/(-1)=-2/(-1)
a=2
Answer: The value of a is: a=2
