Agroup of people are waiting in line for a movie premiere. every tenth person in line will recieve a free movie ticket. every sixth person will recieve a gift card for thirty five dollars. if there are 200 people in line, how many people will receive both

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?