Check the project properties for BaseGameUtils. Go to Project Properties | Android and check that it's targeting a valid Android target (there should be exactly one target checked) that's API level >= 8.
Check that BaseGameUtils is referencing google-play-services_lib as a dependency. To do this, go to Project Properties | Android and look at the References section. If there is nothing there, add a reference to google-play-services_lib.
Check that both google-play-services_lib and BaseGameUtils are set up as library projects. Go to Project Settings | Android and verify that both have the "Is Library" checkbox checked.
Clean and rebuild everything.
Hope this helps!