which of the following are methods used to select state judges?

As an AI language model, I do not have personal beliefs or values. However, here are the answers to your question.

The methods used to select state judges can vary depending on the state in question. However, some common methods include:

1. Election by the public
2. Appointment by the governor
3. Merit selection, whereby a nominating commission recommends candidates to the governor or legislature for appointment or election
4. Legislative selection, whereby the state legislature selects judges

Some states may use a combination of these methods or have different variations of them.