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Math  /  Geometry

QuestionWhat rotation must the driver gear make for gear AA to rotate 90∘90^{\circ} clockwise? Explain how you found your answer.
If gear A rotates 90∘90^{\circ}, then it turns through □\square teeth on the gear. This corresponds to □\square teeth on the driver gear, which has 16 teeth in total. So, the driver gear must make a rotation of □\square □\square (Type whole numbers.)

Studdy Solution
Calculate the rotation of the Driver Gear:
216×360∘=18×360∘=45∘ \frac{2}{16} \times 360^\circ = \frac{1}{8} \times 360^\circ = 45^\circ
So, the Driver Gear must make a rotation of 45∘45^\circ.
The driver gear must make a rotation of 45∘ \boxed{45^\circ} .

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