Avery has a points card for a movie theater. She receives 75 rewards points just for signing up. She earns 6.5 points for each visit to the movie theater. She needs 140 points for a free movie ticket. How many visits must Avery make to earn a free movie ticket?

10 times

Step-by-step explanation:

After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65

If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket

65/6.5 = 10

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.

step-by-step explanation: