Three moons are in the same circular orbit around a planet. the moons are each 120,000 kilometers from the surface of the planet, located at points a, b, and c. the planet is 60,000 kilometers in diameter and m∠abc=90∘. how far is point a from point c?

300,000 km

Step-by-step explanation:

The diameter of the orbit is 60,000 + 2·120,000 km = 300,000 km. The 90° angle at B must subtend an arc of 180° of that circle. That places points A and C on the ends of a diameter, hence 300,000 km apart.

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8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.