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Wiktionary
hinge on

vb. to depend on, depend upon, be contingent upon

WordNet
hinge on

v. be contingent on; "The outcomes rides on the results of the electin"; "Your grade will depends on your homework" [syn: depend on, devolve on, depend upon, ride, turn on, hinge upon]

Usage examples of "hinge on".

He had abandoned the paper clip and was examining the hinge on a cabinet door.

Believe me, when you're stuck in Wichita with a broken hinge on your drop-trap, you get pretty good at fixing things with whatever's at hand.

The predicate for the bug would be a conversation, much like the one in Peter Petros's case, in which Feaver told Wunsch that the outcome of the lawsuit would hinge on Malatesta's ruling.

Osgard had undoubtedly meant the scene to hinge on Sun Wolf's pride in his ability to teach.

Did, as the Fool had so long insisted, the fate of the whole world hinge on the actions of each man, every day?

He'd fixed the blasted hinge on her closet door, and she still couldn't be faithful to him.

Why did everything he wanted in this meeting suddenly hinge on her?

There'll be times when your safety and the safety of those in your care will hinge on your ability to know just who's in your general vicinity.

You might put it that way, I suppose, but it might be safer to experiment now, when theres nothing crucial at stake, than later, when our lives might hinge on the outcome.