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When listening to music, one measure of three beats could be represented on a staff by

one dotted half note
two half notes and one quarter note
two whole notes and two half notes
three whole notes

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Answer:

One dotted half note.

Step-by-step explanation:

A dotted note is equal to the notes duration plus 1/2. So, since a half note is two beats, a dotted half note would be 2+1, or three beats. One measure of three beats could therefore be represented on a staff by one dotted half note.

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