Answer:
9.25
Explanation:
∵ The coordinates of midpoint of a line segment having end points
and
are,
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Given,
The coordinates of A are (-6, 13),
Coordinates of D are (2, 14),
If C is the midpoint of line segment AD,
Then the coordinates of C are,
![(\frac{-6+2}{2}, \frac{13+14}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-6%2B2%7D%7B2%7D%2C%20%5Cfrac%7B13%2B14%7D%7B2%7D%29)
![=(\frac{-4}{2},\frac{27}{2})](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-4%7D%7B2%7D%2C%5Cfrac%7B27%7D%7B2%7D%29)
![=(-2, 13.5)](https://tex.z-dn.net/?f=%3D%28-2%2C%2013.5%29)
Now, if B is the mid point of line segment AC,
Then the coordinates of B are,
![(\frac{-6-2}{2},\frac{13+13.5}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-6-2%7D%7B2%7D%2C%5Cfrac%7B13%2B13.5%7D%7B2%7D%29)
![=(\frac{-8}{2}, \frac{26.5}{2})](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-8%7D%7B2%7D%2C%20%5Cfrac%7B26.5%7D%7B2%7D%29)
![=(-4, 13.25)](https://tex.z-dn.net/?f=%3D%28-4%2C%2013.25%29)
Hence, the sum of the coordinates of B = -4 + 13.25 = 9.25