The midpoint of \( \overline{G H} \) is \( M(8,7.25) \). One endpoint is \( G(14.9,3.4) \). Find the coordinates of the other endpoint \( H \). Write the coordinates as decimals or integers.

To find the coordinates of endpoint \( H \), we can use the midpoint formula, which states that the coordinates of the midpoint \( M \) are the averages of the coordinates of the endpoints \( G \) and \( H \): \[ M_x = \frac{G_x + H_x}{2} \] \[ M_y = \frac{G_y + H_y}{2} \] Given: - \( M(8, 7.25) \) - \( G(14.9, 3.4) \) We need to find \( H(x, y) \). Setting up the equations for \( x \) and \( y \): 1. For the x-coordinates: \[ 8 = \frac{14.9 + H_x}{2} \] Multiplying both sides by 2, we get: \[ 16 = 14.9 + H_x \] Solving for \( H_x \): \[ H_x = 16 - 14.9 = 1.1 \] 2. For the y-coordinates: \[ 7.25 = \frac{3.4 + H_y}{2} \] Again, multiplying both sides by 2, we have: \[ 14.5 = 3.4 + H_y \] Solving for \( H_y \): \[ H_y = 14.5 - 3.4 = 11.1 \] Thus, the coordinates of the other endpoint \( H \) are \( H(1.1, 11.1) \).