The junior varsity football team score 23 points in last saturday's game they score the combination of seven point touchdowns in three point field goals how many touchdowns does it how many field goals did they score

  2 touchdowns, 3 field goals

Step-by-step explanation:

The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.

  23 is not divisible by 3, so 0 touchdowns is not a solution

  23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution

  23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution

  21 -21 = 2 is not divisible by 3, so there is only one solution.

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:

answer: 486in^2

step-by-step explanation: