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LUCKY_DIMON [66]
3 years ago
10

Please help. i need steps and everything

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

x = 13, y = 24.

Step-by-step explanation:

5x - 8 + 63 + 7x - 31 = 180  (interior alternate angles are equal).

12x + 24 = 180

12x = 180 - 24 = 156

x = 156/12

x = 13.

4y + 27 =  63 + 7x - 31       (interior alternate angles are equal).

4y +27 = 32 +7(13)

4y = -27 +32 + 91

4y = `96

y = 96/4

y = 24.

 

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the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.
marissa [1.9K]

Answer:

x = 21

Step-by-step explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21

7 0
3 years ago
Can you please help me with this math problem please.
adoni [48]
<h2>Answer: </h2><h2>Mohammed's net pay each week is $298.90 (61%).</h2>

Step-by-step explanation:

  1.            15% + 8% + 9% + 7% = 39%
  2.                      39% - 100% = 61%
  3.                  $490 x 61% = $298.90

             

<h2>                </h2>

<h2>                 <u><em>The answer is 61%.</em></u></h2><h3><u><em>                  The exact cash amount is $298.90                     </em></u></h3>
4 0
2 years ago
Read 2 more answers
Is it possible to build a triangle with lengths of 5 7 12
Marysya12 [62]

Answer:

No

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

8 0
3 years ago
Please help! I need by tomorrow
Alexeev081 [22]
I don’t understand.
online school is hard
3 0
3 years ago
Mac had 2 gallons of ice crram that she brought for $8.99. Upon tripping over a rock, she accidentally spilled. 8 gallons. How m
vova2212 [387]

Answer:

The poor woman has -6 gallons of ice cream.

Step-by-step explanation:

2-8 = -6.

5 0
3 years ago
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