Step-by-step explanation:
Given that M is a positive integer, M + 1 is also a positive integer.
Since the difference between them is only 1, they cannot have a common factor above 1.
(For example if M is even, M + 1 must be odd and therefore they do not have a common factor 2 and so on)
Hence we conclude the GCF of M and M + 1 is 1.
Answer:
B.
Step-by-step explanation:
It will be completely symmetrical (a.k.a. Equilateral Triangle) with all 3 angles 60°, whereas a right triangle has one side of 90°.
Answer:
The score of the dropped grade is 6
Step-by-step explanation:
To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores
(a+b+c+d+e)/5=10
Then we can multiply both sides by 5 and get
a+b+c+d+e=50
Lets assume that c is the lowest test score. To calculate the average of that we get
a+b+d+e/4=11
Doing the same thing, we know that a+b+d+e=44
Now compare the two:
a+b+c+d+e=50
a+b+d+e=44
We can now know that c=50-44=6
So, 6 is the score of the dropped quiz. Hope that helped!
First we define variables:
x = distance traveled by player A
y = distance traveled by player B
We have the following system of equations:
x + y = 1550
x = 9y
Solving the system we have:
x = 1395
y = 155
Answer:
x = 1395 yards (player A)
y = 155 yards (player B)
Answer:
I didn't get you
Step-by-step explanation:
what??