Draw a line from point Q to point A. Then draw another line segment from point Q to point A'. These lines are marked in red in the attached image (figure 1). Notice we have a 90 degree angle form. To go from A to A', we rotate 90 degrees counterclockwise (green angle in figure 2). Or we can rotate 270 degrees clockwise (gray angle in figure 2).
So that's why the two answers are:
choice B) 90 degrees counterclockwise
choice D) 270 degress clockwise
Side Note: the other points (B, C, and D) will follow a similar rotation path compared to point A. Either rotate those preimage points 90 degrees counterclockwise or 270 degrees clockwise so they match with their respective image points. All rotations are done around point Q.
Answer:
2s+5p=40
Step-by-step explanation:
s=sodas
p=popcorn
you can plug in 0 for s or for p to see how many of the other she can get (if you plug in 0 for s you see she can get 8 popcorns, if you plug in 0 for popcorn, she can buy 20 sodas)
Answer: 9
Solving Steps:
f(x) = 3x + 2
f(2) = 3*2 + 2
f(2) = 6 + 2
f(2) = 8
f(2) + 1
8 + 1 = 9
For a property with such a long name, it's really a simple math law. The multiplicative identity property states that any time you multiply a number by 1, the result, or product, is that original number. To write out this property using variables, we can say that n * 1 = n.