Statement 1: and are vertical angles
Reason 1: Given
We basically just restate the given information word for word. This is true of any two column proof.
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Statement 2:
Reason 2: and are a linear pair
The term "linear pair" means the angles are adjacent and supplementary (they form a straight line), so this is why the two angles add to 180.
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Statement 3:
Reason 3: and are a linear pair
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Statement 4:
Reason 4: Substitution
Each of the equations formed in statements 2 and 3 above have 180 on the right side, so the left hand sides must be the same
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Statement 5:
Reason 5: Subtraction property of equality
We subtracted the quantity from both sides (they go away)
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Statement 6:
Reason 6: Definition of congruence
If two items are congruent, then they have the same measure. In other words, they are the same.
Answer:
Paul is the youngest at 17 years old. Fiona is 20 years old, Sara is 23 years old
Step-by-step explanation:
Assign variables to the ages.
S = sara's age
F = Fiona's age
P = Paul's age.
S + F + P = 60
S = 3 + F
P = F - 3
(3 + F) + F + (F - 3) = 60
3 + 3F - 3 = 60
3F = 60
F = 20
S = 23
P = 17
The velocity of the jogger will be 0.18 miles per minute.
<h3>What is velocity?</h3>
Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Given that:-
- It took the jogger 45 minutes to cover the 8 miles
The velocity will be calculated as:-
V = Distance ÷ Time
V = 8 ÷ 45
V = 0.18 miles per minute
Therefore the velocity of the jogger will be 0.18 miles per minute.
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Answer:
24 divided by 3.12=7.69
Step-by-step explanation:
1/5 of them which is 6
6 students got an a