Answer:
Correct answer B
Step-by-step explanation:
Choose one point of the original rectangle In this case I chose E. I translated it 6 to the left and three down and I ended up at point M. Rotating the rectangle, the original rectangle will match up with the second rectangle.
Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.
The prime factorization of the number 22 is:

Similarly, for 165, 35 and 210 we have

Then, we can solve the given questions.
Question 1.

so we can cancel out the number 11 and get

Then, the answer is

Question 2.

and we can cancel out the number 5 and 7, then we obtain

then, the answer is
Answer:
P = 8.9k
Step-by-step explanation:
To find the perimeter, you need to add all three sides of the triangle.
P = (1.8k - 5) + (3.5 + 6.1k) + (k + 1.5)
Because you are adding all three expressions, you can remove the parentheses.
P = 1.8k - 5 + 3.5 + 6.1k + k + 1.5
Now you want to combine the variable (k).
P = (1.8k + 6.1k + k) - 5 + 3.5 + 1.5
P = (8.9k) - 5 + 3.5 + 1.5
Now you want to combine the constants.
P = (8.9k) - 0
You are left with:
P = 8.9k
Answer:
D) Commutative property of addition
Step-by-step explanation:
Commutative property of addition
a + b = b + a
On this case
-12 + 5x = 5x - 12
Answer
D) Commutative property of addition