AA 9928 then UA 5646 at O'Hare
New York LaGuardia → Chicago → Sioux Falls
Timetable, Chicago time
06:45AA 9928 from New York LaGuardia at the gate
19:45UA 5646 to Sioux Falls leaves the gate
13 h apart on the timetable
UA 5646 leaves 13 h after AA 9928 arrives on the timetable: more than half a day, so not a connection we count.