twenty-ninth vs 29th

twenty-ninth and 29th both are adjectives.

Word	Noun	Adjective	Verb	Adverb
twenty-ninth	No	Yes	No	No
29th	No	Yes	No	No

As adjectives, twenty-ninth and 29th are synonyms defined as:

twenty-ninth (adjective)	29th (adjective)
coming next after the twenty-eighth in position	coming next after the twenty-eighth in position