1 / That proves her kindness
=> it proves that she has kindness
2 / jamie is not used to working hard.
   => jamie does not have to work hard.
3 / Dan is a newcomer, and so is Jim
=> Both Dan and Jim are newbies
4 / Patience is the key to success in life
=> As long as you know how to be patient
5 / I'm sorry I interrupted your dinner
I'm sorry for interrupting your dinner

1/ that proved her goodness

=> that proved that she is a good pérson

2/jamie isn't accustomed to working so hard.

=> jamie isn't used to working so hard

3/ Dan was a newcomer, and so was Jim

=> both Dan and Jim were newcomers

4/ patience is the key to success in life

=> As long as you are patience,you will be successfull in life

5/ i am sorry i interrupted your dinner

=>i apologize for interrupting your dinner

mình ko chắc câu 2 và 3 ;-;