Hang (one's) hat on (something) verb phrase
If you hang your hat on something, you depend or rely on it.
Most of people on the island hang their hat on tourism to earn a living.
If you hang your hat on something, you believe or trust it.
I can't hang my hat on the fact that he lost again.
To decide to believe someone‘s saying although they may not tell the truth
If you take something as gospel, you definitely believe it without without any hesitation.
To put your trust confidence or hope in somebody or something
The verb "hang" should be conjugated according to its tense.
If someone has a cast iron stomach, they have a strong stomach that can digest unusual food and even bad food without being ill.
Jimmy must have a cast-iron stomach, when he drank milk with lime juice and felt perfectly fine afterward.