Here are the completed sentences:

1. Local people can earn their livings by providing tourists with necessary services. (LIVE)
→ Local people can **live** off tourism.

2. That man has a friendly relationship with the owner of Los Angeles County Museum of Art. (GETS)
→ That man **gets** along well with the owner of Los Angeles County Museum of Art.

3. Please visit our website to get more information about our products. (FIND)
→ Please visit our website to **find** more information about our products.

4. There is no oil and gas left on Earth. (RUN)
→ The Earth has **run** out of oil and gas.

5. The council had to cancel the football match because of the storm. (CALL)
→ The council had to **call off** the football match because of the storm.

6. We spent the whole afternoon exploring this small fishing village. (LOOKING)
→ We spent the whole afternoon **looking** around this small fishing village.

7. I will return to Hoi An to have another week of adventure this summer. (COME)
→ I will **come** back to Hoi An to have another week of adventure this summer.

8. After leaving college, he started his own business with a bank loan. (SET)
→ After leaving college, he **set** up his own business with a bank loan.

9. She promised to meet me at the cinema this evening, but she didn't arrive. (TURN)
→ She **turned up** to meet me at the cinema this evening, but she didn't arrive.

10. My neighbourhood is planning to reduce the amount of daily plastic waste. (CUT)
→ My neighbourhood is planning to **cut** down on the amount of daily plastic waste.