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motikmotik
2 years ago
10

The GCF of 18 and a number is 6. Which of the following could be the number?

Mathematics
1 answer:
vesna_86 [32]2 years ago
3 0

Answer:  D) 24

===============================================

Explanation:

Find the prime factorization of each value given

  • 28 = 2*2*7
  • 15 = 3*5
  • 21 = 3*7
  • 24 = 2*2*3

Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.

Focusing on 24 and 18, we see that

  • 24 = 6*4
  • 18 = 6*3

which shows that 6 is the GCF of 24 and 18.

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Perpendicular from the center to the chord, bisects it!
DE = DF/2 = 12
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