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Adjective: reputable  rep-yu-tu-bul
  1. Having a good reputation
    "a reputable wine"; "a reputable business"; "a reputable scientist"

See also: admirable, esteemed, estimable, good, honorable [US], honored [US], honourable [Brit, Cdn], honoured [Brit, Cdn], prestigious, redoubtable, reputation, repute, respectable, respected, time-honored [US], time-honoured [Brit, Cdn], well-thought-of

Antonym: disreputable