What are the benefits to using transformations on angles?

Given a(-12,5) and b(12,29) find the point that divides the line segment ab three-eighths of the way from a to b

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

The total cost of anja’s trip to the dentist was $628.35. she paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. which shows the correct equation and value of x, the cost of each cavity filling?