Let's go through each answer choice and eliminate the choices.
a) 6(2/3) = 4, this is less than 6, making it our correct answer, but still go and check each answer
b) 6(2/3) again = 4, this is less than 6, making this answer choice wrong.
c) 6(3/2) = 9, this is greater than 6, making this answer choice wrong.
d) 6(3/3) = 6, this is equal to 6, making this answer choice wrong.
(1) [6pts] Let R be the relation {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0)} defined on the set {0, 1, 2, 3}. Find the foll
goldenfox [79]
Answer:
Following are the solution to the given points:
Step-by-step explanation:
In point 1:
The Reflexive closure:
Relationship R reflexive closure becomes achieved with both the addition(a,a) to R Therefore, (a,a) is ![(0,0),(1,1),(2,2) \ and \ (3,3)](https://tex.z-dn.net/?f=%280%2C0%29%2C%281%2C1%29%2C%282%2C2%29%20%5C%20and%20%5C%20%283%2C3%29)
Thus, the reflexive closure: ![R={(0,0),(0,1),(1,1),(1,2),(2,0),(2,2),(3,0), (3,3)}](https://tex.z-dn.net/?f=R%3D%7B%280%2C0%29%2C%280%2C1%29%2C%281%2C1%29%2C%281%2C2%29%2C%282%2C0%29%2C%282%2C2%29%2C%283%2C0%29%2C%20%283%2C3%29%7D)
In point 2:
The Symmetric closure:
R relation symmetrically closes by adding(b,a) to R for each (a,b) of R Therefore, here (b,a) is:
![(0,1),(0,2)\ and \ (0,3)](https://tex.z-dn.net/?f=%280%2C1%29%2C%280%2C2%29%5C%20and%20%5C%20%280%2C3%29)
Thus, the Symmetrical closure:
![R={(0,1),(0,2),(0,3)(1,0),(1,1)(1,2),(2,0),(2,2),(3,0), (3,3)}](https://tex.z-dn.net/?f=R%3D%7B%280%2C1%29%2C%280%2C2%29%2C%280%2C3%29%281%2C0%29%2C%281%2C1%29%281%2C2%29%2C%282%2C0%29%2C%282%2C2%29%2C%283%2C0%29%2C%20%283%2C3%29%7D)
Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
![180=90+40+b](https://tex.z-dn.net/?f=180%3D90%2B40%2Bb)
![b=50](https://tex.z-dn.net/?f=b%3D50)
Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
![c+65=180](https://tex.z-dn.net/?f=c%2B65%3D180)
![c=115](https://tex.z-dn.net/?f=c%3D115)
So our angles are a=40, b=50, c=115.
Answer:
12/77
Step-by-step explanation:
-3/7 ÷ -11/4
switch the numerator and denominator around because of division
-3/7×-4/11=12/77
as negatives cancel each other out
Answer:
She would have $33 left.
Step-by-step explanation:
First input the $2.50 into the "d" variable and multiply 6 by 2.50.
48−(6)(2.5)
Then, subtract 48 by 15.
48−15
Finally, you have your answer.
33