Bolomboy made 7 of 11 field goals and grabbed 14 rebounds while Senglin hit seven 3-pointers and had six assists for Weber State (7-5). Kyndahl Hill added a career-high 21 points and Dusty Baker scored 10.
Bolomboy hit a 3 to put the Wildcats up 92-81 with 2:09 to play but Reed Tellinghuisen hit a pair of 3-pointers during a 12-3 run that pulled South Dakota State (10-3) within two with 28 seconds left.
Hill made two free throws and, after Tevin King scored for the Jackrabbits, Bolomboy hit two more with five seconds left to seal it.
Deondre Parks tied a season high with 23 points and Tellinghuisen added 22 for South Dakota State.
Weber State shot a season-high 58.8 percent from the field, including 12 of 24 from 3-point range.