ничего лишнего во вставленных словах писать тоже не надо, как это некоторые делали в ответах.

1. It is my personal BELIEF that this man is innocent. belief или to believe

5. I know it isn’t good for my skin, but I love sun BATH . bath или to bathe

7. “What are we going to do with this cake?” “Cut it in two. You take HALF and I’ll take HALF.” half или to halve

9. The refugees are TO HOUSE in temporary accommodation. house или to house

10. She apologizes for her behavior, and said it was because she’d had a busy day, but that’s no EXUSE for breaking all the plates. excuse или to excuse

1 belief
5 bathe
7half
9 to house
10excuse