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3 years ago

In the figure shown below, if line m is parallel to line n, then find the value of x

Mathematics

1 answer:

Snezhnost [94]3 years ago

8 0

Answer:

Step-by-step explanation:

The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.

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A jar of jam contains 55% fruit.How much fruit would I need for ten 454g jars of jam?

Svetach [21]

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3 years ago

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Help plz 6(2x - 11) + 15 = 3x + 12

Ket [755]

Answer:

x = 7

Step-by-step explanation:

Lets do the brackets first,

6 × 2x = 12

6 × -11 = -66

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Calculate the x constant:

12x - 3x = 9x

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Then the ones with no x:

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51 + 12 = 63

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Lastly, divide

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3 years ago

2!7! Divided by 4!8! Simplified

Molodets [167]

Answer:

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3 years ago

In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 w

sweet-ann [11.9K]

Answer:

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 281

Standard deviation of the Population = 34.4

Let 'X' be a random variable in Normal distribution

Given X = 290

$Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027$

Step(ii):-

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = P( Z > 2.027)

= 0.5 - A ( 2.027)

= 0.5 - 0.4783

= 0.0217

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

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3 years ago