Answer:
1) Since the company maintains a franchisee model, it is a viable target for <em><u>inversion</u></em>.
2) I'm going to find out exactly what did <em><u>transpire</u></em>.
3) Schoolchildren wreaking <em><u>havoc</u></em><em> </em>in the classroom.
4) Authorities are <em><u>flagrantly</u></em><em> </em>violating the law by refusing to comply.
5) He escorted them, <em><u>flailing</u></em><em> </em>their shoulders with his cane.
Explanation:
The words that complete the given sentences are given as below-
1. In this sentence, the word "inversion" refers to position to be changed back to the previous condition. So, the company's franchisee model makes it a possible target for inversion.
2. Here, "transpire" refers to an act that occurs, what happened.
3. Wrecking havoc means creating problem, trouble, confusion, disorder, destruction. So, the sentence means that the students are creating confusion or disorder in the classroom.
4. The word "flagrantly" is an adverb that means "obvious, open, evident, brazen, audacious". So, the sentence means that the authorities are openly and shamelessly violating the law.
5. The word "flailing" means to beat, strike, trash, etc. So, the sentence means that the people are escorted by him while at the same time beating their shoulders with his cane.