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Lady_Fox [76]
3 years ago
9

8/9=4/5k how to solve

Mathematics
1 answer:
velikii [3]3 years ago
5 0
Divide both sides by 4/5 or multiply by the reciprocal.

Flip 4/5 to get the reciprocal.
The reciprocal of 4/5 is 5/4 so we will multiply both sides by that.

5/4 * 8/9 = 4/5 * 5/4 * k

4/5 and 5/4 cancel out so now you have


5/4 * 8/9 = k

multiply top and bottom
(5 *8 )/(4*9)

40/36

Simplify

10/9
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The answer is 7.9306

Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size

1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
   = 102 / 5
μ = 20.4

2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76

3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
   = 251.58 / 5-1
μ = 62.895 (this is now called sample variance)

4.) Get the square root of the sample variance:
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3 0
3 years ago
What are all the factors of 32? A 2, 4, 8, 16 B 1, 2, 16, 32 C 1, 2, 4, 8, 16, 32 D 2, 4, 6, 8, 12, 16, 32
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What are all the factors of 32?

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Alex Ar [27]

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

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Mike’s doctor recommended that he increase the time he exercises each day from 20 minutes to 30 minutes. By what percent did the
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Answer:

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