Connor Cashaw grabbed 12 rebounds for the Owls (7-23, 4-14), who entered two games back of 12th-ranked UTEP (10-18, 5-11) and face fifth-ranked UTSA (17-13, 10-7) on Saturday.
Leading 36-29 at halftime, Rice opened the second half by scoring seven straight and led 50-40 on Tim Harrison's layup. Omega Harris scored seven straight and the Miners closed to 74-70 on his 3 with five seconds left, but got no closer. Adams hit two free throws and Harris' 3 at the buzzer missed.
Harris hit five 3s and scored 18 points, Isiah Osborne added 13 points, Paul Thomas had 12 and Trey Wade 10 for the Miners, who need a win Saturday at North Texas (17-13, 10-7) or a Rice loss at UTSA to make the tournament.
Trae Young joins Scott Van Pelt to share how he came to the decision to enter the NBA draft and how his family has played an instrumental role in his decision.
Villanova will be looking to advance to the Elite Eight with a victory over No. 5 West Virginia in the East region Friday in Boston.
Justin Harley hit just his second 3-pointer of the game, a buzzer-beater in overtime, to give Graceland (Iowa) its first NAIA national championship.
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