Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
Answer:
D.Transitive property of equality
Step-by-step explanation:
We are given that segment JK is parallel to segment LM
We have to prove 
We have to find which option correctly justifies the statement 4 of the two - column proof.
1.Statement : JK is parallel to segment LM
Reason: Given
2.
Reason: Vertical angles theorem
3.
Reason:Corresponding angles theorem
4.
Reason: Transitive property of equality.
If a=b and b=c then a=c
Hence, option D is true.
Answer:
Each person will get 2.7 ounces of potato salad.
Step-by-step explanation:
We are given that;
Total ounces of potato salad Greg made = 27 ounces
Number of persons to be served = 10 people
Now, we are told that each serving is the same size, thus it means each person will receive same size of potato salad.
Thus,
the amount received by each person = Total ounces of potato salad Greg made/total number of persons to be served.
So,
the amount received by each peron
= 27/10
= 2.7 ounces
Thus,
Each person will get 2.7 ounces of potato salad.
Infinitely many solutions
Answer: 2.7 hours
Step-by-step explanation:
3 x 54 = 162, 162 is how many miles the drive is. If he is going 60 mph you have to divide 162/60 and you get 2.7 hours
