Final answer:
To find the coordinates of point B, we can use the midpoint formula. The coordinates of point M are the averages of the x-coordinates and y-coordinates of point B and C. Therefore, the coordinates of point B are (8, 10.75).
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.
In this case, the coordinates of M(0, 9.5) are the averages of the x-coordinates and y-coordinates of point B and C. So, the x-coordinate of point B is (0 + 16)/2 = 8, and the y-coordinate of point B is (9.5 + 12)/2 = 10.75.
Therefore, the coordinates of point B are (8, 10.75).
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