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Nezavi [6.7K]
3 years ago
8

13. What is the value of x?

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

9514 1404 393

Answer:

  B.  50

Step-by-step explanation:

The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.

  2x +40 = x +90

  x = 50 . . . . . . . . . . . subtract x+40

The value of x is 50.

_____

<em>Check</em>

2x+40 = 2×50 +40 = 140

x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be

___

<em>Additional comment</em>

The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.

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A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 95% sure that he
inn [45]

Answer:

The sample size is 183.

Step-by-step explanation:

Given:

σ = $1050, ppulatin standard deviation

99% confidence interval

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The accuracy is given by

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Therefore

2.576(1050/√n) = 200

√n = (2.576*1050)/200 = 13.524

n = 182.9

<em>The sample size is 183</em>

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Answer:

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a => b   \equiv   ( \neg a   \ \lor   \ b )

You can show that they are logically equivalent because they have the same truth table.

 

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