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mezya [45]
2 years ago
14

Find the value of X. Please show/explain work, and sorry if it’s hard to read

Mathematics
1 answer:
aliya0001 [1]2 years ago
5 0

Answer:

x = 100°

Explanation:

The polygon has 6 sides, meaning it's a hexagon. In the picture you can see the following steps under #1:

(6-2) x 180° = 4 x 180 = 720°

720 is the total amount that all the angles should add up to, including the missing number x.

To solve for x add all of the angles up:

120 + 156 + 145 + (x + 9) + x + 90 = 720

520 + 2x = 720 (subtract 520 from both sides)

                 -520

          2x = 200 (divide 200 by 2 to have x on its own)

             x = 100°

To make sure it's correct, plug in the value (100°) for x in the original equation to check the answer:

120 + 156 + 145 + 100 + 9 + 100 + 90 = 720

720 = 720 Correct

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When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a
Korvikt [17]

Answer:

\mu -2\sigma = 24-2*3= 18

\mu -2\sigma = 24+2*3= 30

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

X \sim N(\mu = 24, \sigma =3)

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

\mu -2\sigma = 24-2*3= 18

\mu -2\sigma = 24+2*3= 30

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

7 0
3 years ago
What is 150 divided by 625 step by step
Levart [38]

Answer:

150 dived by 625 is 0.24 I'm not sure how to explain it

6 0
3 years ago
A bag contains 10 blue, 6 green, and 4 red marbles. you choose one marble. without putting it back, you choose a second marble.
Alex777 [14]
2/20 is a possibility 
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What is the area of the regular pentagon below?
wolverine [178]

Answer:

<em><u>2</u></em><em><u>1</u></em><em><u>y</u></em><em><u>d</u></em><em><u>^</u></em><em><u>2</u></em>

Step-by-step explanation:

join the centre to all the vertex,

since this figure is of regular pentagon, it's will form 5 equal triangle of equal area!

now area of one such triangle is

1/2 ×base ×height

=1/2 ×3.5x2.4 (yd^2)

=4.2 yd^2

now the pentagon is sum of 5 such equal triangle,so it's are will be

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✌️:)

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3 years ago
Find two consecutive odd integers whose sum is 84.
lesya [120]
41 and 43 I hope this helps
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3 years ago
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