Final answer:
To find the value of x if y (10,12) is the midpoint of XZ and Z is (13,8), you can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints. By substituting the given values into the formula, we find that the coordinates of the midpoint XZ are (11.5, 10).
Step-by-step explanation:
To find x if y (10,12) is the midpoint of XZ and Z is (13,8), we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.
Let's call the x-coordinate of the midpoint xm and the y-coordinate of the midpoint ym. Using the formula:
xm = (x1 + x2) / 2
ym = (y1 + y2) / 2
Substituting the given values:
xm = (10 + 13) / 2 = 23 / 2 = 11.5
ym = (12 + 8) / 2 = 20 / 2 = 10
Therefore, the coordinates of the midpoint XZ are (11.5, 10).