Fred wants to find 48+34 using compensation. he says you can take 2 from 34 and give it to 48 to make 50.what is the sum? explain why compensation can work to find the sum.

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?