A lottery director wanted to fairly choose four winners from a group of 45 participants. She assigned each participant a two-digit number from 01 to 45. (Let's consider "01", "02", etc. to be two-digit numbers.) She then selected the following line from a random number table. 37705 51658 37529 30593 39637 64220 45486 Starting from the left, she used the above to form two-digit numbers as follows. 37 70 55 Using this new list and starting from the leftshe chose four two-digit numbers from 01 to 45 She skipped numbers she had already chosen, the number 00, and numbers greater than 45. The participants who were assigned these two-digit numbers were chosen. Which four participants were selected as the winners?

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y

mate

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

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