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Q: 18 x 63

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LCm for 18 and 63 = 126prime factorization of:18 = 2 x 3 x 363 = ------3 x 3 x 7============LCM= 2 x 3 x 3 x 7 = 126

3.5 x 18

2 x 3 x 3 = 18 3 x 3 x 5 = 45 3 x 3 x 7 = 63

18 = 2 x 3 x 3; 24 = 2 x 2 x 2 x 3; 63 = 3 x 3 x 7 LCM of 18 & 63 = 2 x 3 x 3 x 7 = 126, LCM of 24 & 126 = 2 x 2 x 2 x 3 x 3 x 7 = 504 The lcm for 18 24 and 63 is 504

81

There are 7 of them as 9 x 7 = 63.

x2-2x = 63 x2-2x -63 = 0 => x = -7 or x = 9 So x must = 9 Check: 92-18 = 63

Since the formula for the area of a triangle is: A = .5 x h x b just go 63 = .5 x b x 18 then 63 = 9b 7 = b

Prime factorization of 18 = 2 x 3 x 3 Prime factorization of 45 = 3 x 3 x 5 Prime factorization of 63 = 3 x 3 x 7 It can be seen that 3 x 3 is the greatest number common in the factorization of 18, 45 and 63. So, GCF is 3 x 3 = 9.

2 x 3 x 3 = 18 3 x 3 x 5 = 45 3 x 3 x 7 = 63 3 x 3 = 9, the GCF

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.1 x 126, 2 x 63, 3 x 42, 6 x 21, 7 x 18, 9 x 14

each tile is 18 x 18 = 324 sq in room is 63 x 144 = 9072 sq in 9072/324 = 28 tiles

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