The midpoint of \( \overline{G H} \) is \( M(16.5,8.5) \). One endpoint is \( H(20,13) \). Find the coordinates of the other endpoint \( G \). Write the coordinates as decimals or integers.

To find the coordinates of the other endpoint \( G \), we can use the midpoint formula. The midpoint \( M \) of a line segment between points \( G(x_1, y_1) \) and \( H(x_2, y_2) \) is given by: \[ M\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \] Here, we know \( M(16.5, 8.5) \) and \( H(20, 13) \). Let the coordinates of \( G \) be \( (x, y) \). Then, we have: \[ \frac{x + 20}{2} = 16.5 \quad \text{(1)} \] \[ \frac{y + 13}{2} = 8.5 \quad \text{(2)} \] Now, we'll solve for \( x \) and \( y \). From equation (1): \[ x + 20 = 33 \quad \Rightarrow \quad x = 33 - 20 = 13 \] From equation (2): \[ y + 13 = 17 \quad \Rightarrow \quad y = 17 - 13 = 4 \] Thus, the coordinates of endpoint \( G \) are \( G(13, 4) \).