CHICAGO -- Working quickly all night long, Kyle Hendricks pitched like a veteran. Its easy to see why the Chicago Cubs feel so comfortable when the rookie right-hander is on the mound. Hendricks pitched 7 1-3 innings of six-hit ball in his third consecutive win, and Chicago cooled off Wily Peralta and the Milwaukee Brewers with a 3-0 victory on Tuesday. "He threw really well," Cubs manager Rick Renteria said. "He repeated his outings in terms of execution, and the calmness he shows out there." Hendricks struck out five and walked one, continuing an impressive opening run for his major league career. The right-hander is 4-1 with a 1.01 ERA in five starts since he got a no-decision in his debut at Cincinnati on July 10. "Every time Im going out there I just feel confident that I can make pitches," said Hendricks, who was acquired in the July 2012 trade that sent Ryan Dempster to Texas. "It grows each start, and its going to keep growing hopefully." Anthony Rizzo hit his 26th homer for Chicago, which had lost three of four. Arismendy Alcantara had two hits and drove in a run after going 1 for 14 through the first four games of the Cubs seven-game homestand. Trying for a major league-high 15th win, Peralta allowed three runs and seven hits in 6 1-3 innings. The right-hander had won each of his last five starts and was 10-1 with a 4.06 ERA in his previous 12 games coming into the night. Peralta (14-7) has lost each of his three starts this season against last-place Chicago. He is 6-0 with a 1.10 ERA in seven games against the rest of the NL Central. "For some reason, they put together good at-bats against me," Peralta said. "As a group, theyre a young team and they have big league hitters. I think Im gonna get another chance to face them and I just want to get a win." The Cubs grabbed the lead on Justin Ruggianos RBI single in the second, and Alcantara added another run-scoring single in the fourth. Alcantaras hit drove in Starlin Castro, who reached on a leadoff double to extend his hitting streak to 11 games, the best such streak for the Cubs this year. Rizzo then led off the sixth with a towering drive to left for his first homer since July 22. "It was supposed to be down and away and I got it up," Peralta said. "When you work behind this guy, hes a pretty good hitter and hes gonna make you pay for it." Pedro Strop replaced Hendricks (4-1) with the bases loaded in the eighth and got Jonathan Lucroy to ground into an inning-ending double play. Hector Rondon then worked a perfect ninth for his 15th save in 19 chances. The Brewers had won four of five. They had their NL Central lead trimmed to 1 1/2 games over Pittsburgh, which won 4-2 at Detroit. Milwaukee centre fielder Carlos Gomez made a great leaping grab on the warning track in the first, taking extra bases away from Javier Baez. Gomez then was hit by a pitch on his right wrist in the third, but stayed in the game. TRAINERS ROOM Brewers: INFs Jean Segura and Scooter Gennett are playing with quad injuries. Manager Ron Roenicke said Segura is doing a lot better, but Gennett "is still a little bit limited." Cubs: LHP Felix Doubront (strained left calf) struck out seven while pitching four-plus innings in his first rehab appearance with Triple-A Iowa. He was charged with three runs and four hits. ... Castro said he tweaked his left knee, but should be fine. ... Ruggiano was removed after seven innings due to "leg fatigue," Renteria said. UP NEXT Brewers RHP Kyle Lohse (11-6, 3.33 ERA) and Cubs LHP Tsuyoshi Wada (1-1, 3.25 ERA) are slated to start the third game of the series Wednesday night. Lohse is 2-0 with a 1.69 ERA in two starts against Chicago this season, including a three-hitter in a 9-0 victory on June 1. Wada is making his first appearance against Milwaukee and his sixth career start overall. Jean Beliveau World Cup Jersey . 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Manager Clint Hurdle says the right-hander will make a couple of appearances in middle relief before the team determines whether to return Grilli to the back end of the bullpen.Last week, Vitor Belfort said he was off testosterone-replacement therapy, had passed self-administered tests and was ready to reclaim his middleweight title shot against Chris Weidman. This week, UFC president Dana White says its not that easy. "Hes got a lot of work to do," White said, as quoted by MMAJunkie.com. "That (expletive) doesnt just happen like that. Youve got to get on the agenda – hes got a lot of work to do." Belfort was originally scheduled to fight Weidman at UFC 173 on May 24 in Las Vegas, however a Nevada State Athletic Commission ban on TRT forced the former light heavyweight champion to pull out of the fight. Since then, Lyoto Machida has stepped into the vacant title shot, Weidman has undergone minor knee surgery and the event has been pushed to UFC 1175 in July - also in Las Vegas.dddddddddddd And although Belfort claims he has tested his testosterone levels, itis still a matter of getting NSAC approval and licence to fight. "Hes fooling himself if thats what he really thinks, is that he took a couple home tests and hes ready to roll, or whatever he did," White said. "Hes always fun. Hes hilarious." Belfort was suspended by the NSAC in 2006 for testing positive with high levels of testosterone after a loss at PRIDE 32 to another former TRT patient, Dan Henderson. The last time he fought in Las Vegas was at UFC 126 in February 2011. "Hes got to solve his problems with the Nevada State Athletic Commission, and when he does that, we can figure it out," White said. "He better get to work." 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