Answer: C, D and E
Step-by-step explanation: I'm a high school student and my teacher just went over this exact problem today. Here's somewhat how he explained it.
If you draw out trapezoid AEFB and turn it once clockwise or counterclockwise you would have only turned it 90 degrees but, turn it one more time (180) and you will see that it looks just like figure CFED. That's how I got the answers C and E. Ok, now for D its kinda the same thing Just because it say translate doesn't mean the shape would change. Even if you slide the shape and turn it two times in either direction you will still get figure CFED. Your Welcome
Answer:
0.17
Step-by-step explanation:
The number of times there is free Breakfast at work = 25%
The number of times the coworker lies = 1/3
The number of times the coworker speaks truth = 2/3
How likely is it that there is free breakfast at work today:
For this to happen both conditions must be satisfied. There must be free breakfast at work AND the coworker has also spoken truth. Now in this condition we will use the AND rule of Probability where we will take the Product of both the probabilities.
Result = 0.25 x 0.67 = 0.17
Step-by-step explanation:

Answer:
a= -1
B
Step-by-step explanation:
My opinion:
the slope m = (y2 - y1) / (x2 - x1)
slope m is -5
y2 is 7
y1 is 2
x2 is -2
x1 is a
so the equation will be
-5 = (7 - 2) / (-2 -a )
10 + 5a = 5
5a = -5
a = -1
Then you can plug the value a = -1 into the equation of the slope m to double check it.