Does adding 7+2 and then dividing by 2 help you find the find midpoint of line segment JK¯¯¯¯¯¯¯¯ ? (1 point) Responses Yes because (7+2)÷2 calculates the average, or midpoint, of the y-coordinates of points J and K. Yes because open paren 7 plus 2 close paren divided by 2 calculates the average, or midpoint, of the y -coordinates of points J and K. No because 7 should be added to 3, then multiplied by 2 to find the midpoint. No because 7 should be added to 3, then multiplied by 2 to find the midpoint. Yes because (7+2)÷2 calculates the average, or midpoint, of the x-coordinates of points J and K. Yes because open paren 7 plus 2 close paren divided by 2 calculates the average, or midpoint, of the x -coordinates of points J and K. No because (7,2) is not the coordinate of point J or K.

3 answers

To determine if the expression \((7 + 2) ÷ 2\) helps find the midpoint of the line segment \(JK\), we need to understand what \(7\) and \(2\) represent.

If we assume \(7\) and \(2\) are the x-coordinates of points \(J\) and \(K\), then:

  • \(7\) could be x-coordinate \(J_x\)
  • \(2\) could be x-coordinate \(K_x\)

In that case, \((7 + 2) ÷ 2\) would indeed calculate the average of the x-coordinates, giving you the x-coordinate of the midpoint.

Conversely, if \(7\) and \(2\) represent the y-coordinates of points \(J\) and \(K\), the calculation would provide the midpoint of the y-coordinates.

Thus, the correct responses regarding this calculation are:

  • "Yes because (7+2)÷2 calculates the average, or midpoint, of the x-coordinates of points J and K." (if \(7\) and \(2\) are the x-coordinates)

  • "Yes because (7+2)÷2 calculates the average, or midpoint, of the y-coordinates of points J and K." (if \(7\) and \(2\) are the y-coordinates)

However, the context is needed to definitively claim whether they are x or y coordinates; if they are neither, then the last option would also apply: "No because (7,2) is not the coordinate of point J or K."

Without more context on what \(7\) and \(2\) represent, you cannot definitively choose a single answer.

20

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