State appellate courts serve as intermediaries between

The answer is High courts and trial courts.

It can hear cases on appeal and the authority of the Supreme Court is the highest power of an appellate court. The functions of the appellate court can vary depending on the rules.

Explanation:

High court normally applies to the superior court (or supreme court) of a country or kingdom. In some nations, it is the highest court (for example, Australia). In others, it is located lower in the bureaucracy of courts (for example, England and Wales). A person who controls as a judge in such a court may be called a High Court judge, or, in some instances, a High Court Justice. A trial court of common jurisdiction may detect any public or criminal case that is not previously completely within the power of another court.

The answer is High courts and trial courts. It can hear cases on appeal and the authority of the Supreme Court is the highest power of an appellate court. The functions of the appellate court can vary depending on the rules.