please show your work for each

Lines and circles 1. Trinika wights 7kg less than Amanda. Together, the girls weigh 101 kg. How much does each girl weigh? 2. The robotic club raised $5000 to build a robot for a future competition. The club invested part of the money in an account that pays 4% annual interest and the rest in a government bond that paid 3.5% interest per year. After one year, the club earned a total of $190 in interest. How much was invested at each rate? \f3. Given the circle defined by the equation x/'2 + yA2 = 100 and the points C(8,6) and D(-6,8): a. What is the diameter of the circle? b. Show that CD is a chord of the circle c. Show that the line segment joining the midpoint of CD and the centre of the circle is perpendicular to the line segment CD