Point Q is the midpoint of GH. That means it splits it evenly. This means GQ and QH are equal....and added together equal GH meaning: 2x + 3 + 2x + 3 = 5x - 5 4x + 6 = 5x - 5 6 + 5 = 5x - 4x 11 = x
so GQ and QH are : 2x + 3.....2(11) + 3....22 + 3...= 25 and GH = 5x - 5....5(11) - 5.....55 - 5 = 50 <====
Answer: G Q = 25 Explanation: As Q is the midpoint of G H , we have G Q = Q H and G H = G Q + Q H = 2 × G Q Now as G Q = 2 x + 3 , and G H = 5 x − 5 , we have 5 x − 5 = 2 × ( 2 x + 3 ) or 5 x − 5 = 4 x + 6 or 5 x− 4 x = 6 + 5 i.e. x = 11 Hence, G Q = 2 × 11 + 3 = 22 + 3 = 25