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Alla [95]
3 years ago
7

If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

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Given:

CDEF is dilated by a scale factor of \dfrac{3}{4} to form the quadrilateral C'D'E'F'.

To find:

The measure of side E'F'.

Solution:

If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.

CDEF is dilated by a scale factor of \dfrac{3}{4} to form the quadrilateral C'D'E'F'. So,

E'F'=\dfrac{3}{4}\times EF

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