To determine whether adding 7 + 2 and then dividing by 2 helps in finding the midpoint of the line segment JK, we need to evaluate what those numbers represent.
Assuming that 7 and 2 are the x-coordinates or the y-coordinates of points J and K, using the formula for the midpoint:
- Midpoint (M) formula for x-coordinates: \( M_x = \frac{x_1 + x_2}{2} \)
- Midpoint (M) formula for y-coordinates: \( M_y = \frac{y_1 + y_2}{2} \)
If 7 and 2 are x-coordinates (e.g., point J(7, y1) and point K(2, y2)), then:
- Adding 7 and 2 gives their total, and dividing by 2 gives the average (midpoint) of the x-coordinates of points J and K.
If 7 and 2 are y-coordinates, the reasoning is the same for determining the average of the y-coordinates.
With this in mind, the correct responses would be:
- Yes because \( (7 + 2) ÷ 2 \) calculates the average, or midpoint, of the x-coordinates of points J and K. or
- Yes because \( (7 + 2) ÷ 2 \) calculates the average, or midpoint, of the y-coordinates of points J and K.
The choice depends on whether 7 and 2 actually represent x or y coordinates. However, if the question doesn't provide additional context about which specific points J and K are, it’s important to identify them in the image.
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