## Elementary Geometry for College Students (6th Edition)

Because this is a kite: RS = RV ST = TV Therefore: RS = y RS = 2x - 4 ST = y - 3 ST = x - 1 Since RS equals both 2x - 4 and y, 2x - 4 and y equal each other. The same goes for ST: 2x - 4 = y x - 1 = y - 3 x - 1 is equal to y - 3, so if 2x - 4 = y, 2x - 4 - 3 = x - 1: 2x - 4 - 3 = x - 1 Simplify: 2x - 7 = x - 1 Add 7 to both sides: 2x = x + 6 If 2x = x + 6, 2x $\div$ 2 = 6. So 2x = 12 and: x = 6 Now we substitute 6 for x when adding together each side: 2(6) - 4 + 2(6) - 4 + 6 - 1 + 6 - 1 Simplify 8 + 8 + 5 + 5 = 26