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valentinak56 [21]
4 years ago
8

PLEASE HELP! I WILL GIVE BRAINLIEST

Mathematics
2 answers:
larisa86 [58]4 years ago
7 0

Answer:

x=40 degrees

Step-by-step explanation:

there is 180 degrees in half a circle,and 180-100=80

and because there are 2 x values on either side you divide that 80 by 2 which gives you 40.

Nitella [24]4 years ago
6 0

Answer:

x=40

Step-by-step explanation:

The 3 angles are on a straight line, which means they are supplementary. When added together, they must equal 180 degrees.

x+x+100=180

Combine like terms by adding the 2 x's together

2x+100=180

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtract 100 from both sides, because 100 is being added to 2x. Subtraction is the opposite of addition.

2x+100-100=180-100

2x=180-100

2x=80

Next, divide both sides by 2. x is being multiplied by 2, and division is the opposite of multiplication.

2x/2=80/2

x=80/2

x=40

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Mr. Nelson lost one of his students' test
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Complete question :

Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?

Answer:

61

Step-by-step explanation:

Given the following :

Total number of students = 4 + 1 missing = 5

Score on the four avaliable papers = 60, 62, 56, 57

Average score of the 5 papers = 59.2

Score on missing paper :

Sum of each score / number of papers

Sum of each score = sum of available scores + missing score

Let missing score = m

(60 + 62 + 56 + 57 + m) = 235 + m

Recall:

Average = total sum / number of observations

Hence,

59.2 = (235 + m) / 5

59.2 × 5 = 235 + m

296 = 235 + m

m = 296 - 235

m = 61

Missing score = 61

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modify tge production

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X = 9

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the alexander family and jenkins family each used their sprinklers last summer. the water output rate for the alexander familys
Mumz [18]

Answer:
Alexanders family sprinkler used for 35.25 hours
And the Jenkins family sprinkler was used for 29.75 hours.

Step-by-step explanation:

Lets start with 2 assumptions, what if we only used the Alexander's family sprinklers, We can define X as the variable
20x=1450
x= 72.5
If we just used the Alexanders it would of took 72 hours and 30 minutes.

Now lets look at the Jenkins family sprinkler, lets define it as Y.
25y=1450
y = 58
With only the Jenkins it would of took 58 hours.

Now, if they just of shared the work equally among the two sprinklers, the Alexanders family doing 725 L and the Jenkins with the other half.
It would of took the Alexanders
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x=36.25

Jenkins
25y=725
y=29

Making it a combined time of 65.25 hours. 15 minutes long of our 65 hour time.

Now the Jenkins sprinkler generates 5 more L than Alexanders per hour. Which means it would only take the Jenkins family 1 hours to make 25 liters but Alexanders would take \frac{5}{4} hours. We know that 1 hour contains 60 minutes, which means \frac{1}{4} of a hour contains 15 minutes.

So it would take Alexanders family sprinkler 15 minutes more to produce the same amount per hour that the Jenkins does.

So from this we can conclude that if the Jenkins family sprinkler was used more we can cut the extra 15 minutes off, making the answer That the

Alexanders family sprinkler used for 35.25 hours
And the Jenkins family sprinkler was used for 29.75 hours.

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2 years ago
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