Rst has vertices R(0, 0), and T(2, -2). R’S’T is the image after RST after a dilation with center (0, 0) and a scale factor 3/2. What are the coordinates of point T?

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?