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.
Tony Bennett is renowned for his defensive schemes at Virginia. Jay Wright has turned Villanova into an offensive juggernaut. Which coaches rank highest on each side of the ball?
Facing grand larceny charges, Michael Weathers was suspended by Oklahoma State.
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