a politically 'connected' businessman [=a businessman who has relationships with people who have political power]
In my mind, the two places 'are connected'. [=I think of the two places as being related to each other]
They 'are' somehow 'connected' to the royal family. [=they are related in some way to the royal family]
(..) Sam has long been one of the more important characters in the story. But he's never seen Queen Daenerys, and yet they're connected by various threads. The obvious one, which we know from the beginning of the scene, is Jorah. Sam saved him, and so Jorah (..)2019 TvShow: Game of Thrones Title: Winterfell Season: 8 Episode 1