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gogolik [260]
3 years ago
14

Given that ABCD is a rhombus, what is the value of x?

Mathematics
1 answer:
Kruka [31]3 years ago
3 0

Answer:

  D.  18

Step-by-step explanation:

∠DAC ≅ ∠BCA and the diagonals cross at right angles, so the two marked angles are complementary.

  (5x -18) +x = 90

  6x = 108 . . . . . . . . . simplify, add 18

  x = 18 . . . . . . . . . . . divide by 6

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Answer:

75%

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Step-by-step explanation:

Given :

Mean = 70

Standard deviation = 12

Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :

The minimum proportion of observation between 46 and 94

Chebyshev's theorem :

1 - 1 / k²

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k = (94 - 70) / 12 = 24 / 12 = 2

Hence, we have ;

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k = 36/12 = 3

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1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%

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3 years ago
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