Apologize entails/necessarily involves Admit. Admit is a synonym of Acknowledge. Acknowledge is a type of Communicate. 
Federal is a synonym of Union. Union is related to Holy. Holy is etymologically related to Whole. Item is a type of Whole. 
Apologize --Entails--> Admit <--Synonym--> Acknowledge --IsA--> Communicate 
Federal <--Synonym--> Union <--RelatedTo--> Holy --EtymologicallyRelatedTo--> Whole <--IsA-- Item 