Sentence 1: Breakfast?" The girl nodded.

Sentence 2: She agreed with getting breakfast.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: DOD's leadership has come to recognize that if the Department is to make results-oriented management a success, it must train its employees in strategic planning, performance measurement, and the use of performance information.

Sentence 2: Training employees in strategic planning is one of the things the Department is doing to make results-oriented management successful.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: yes right that's right and i think you know that's an excellent idea they for them to realize that that their going to have to do what someone else says even though they didn't vote for it and that maybe maybe to think twice about voting now some people object during primaries having to declare a party

Sentence 2: If more people thought twice about voting maybe more people would have been involved with the primaries.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell