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densk [106]
3 years ago
6

-8n+4(1+5n)=-6n-14 show your work

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

n = -1

Step-by-step explanation:

-8n + 4 (1 + 5n) = -6n - 14

-8n + 4 + 20n = -6n - 14     Distribute

12n + 4 = -6n - 14            Combine Like Terms

18n + 4 = -14             Add 6 on Both Sides

18n = -18         Subtract 4 on Both Sides

n = -1              Divide Both Sides by 18


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You have $40 to spend on n gallons of gas that costs $3.25 per gallon. ​
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Answer:   3/2

==========================================================

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8 0
3 years ago
If angle 1 is 140°, then find the measure of the other angles.
Vlad [161]
<h2><u>Angles</u></h2>

<h3>If angle 1 is 140°, then find the measure of the other angles.</h3>

  • ∠2 = <u>40°</u>
  • ∠3 = <u>40°</u>
  • ∠4 = <u>140°</u>
  • ∠5 = <u>140°</u>
  • ∠6 = <u>40°</u>
  • ∠7 = <u>40°</u>
  • ∠8 = <u>140°</u>

<u>Explanation:</u>

  • The relationship between ∠1 and ∠2 are <u>supplementary angles</u>, so when you <u>add up their measurements, it will become 180°</u>. Simply subtract 180 and 140 to get the measure of ∠2. As well as ∠3, they're <u>linear pairs</u>. And they are also <u>supplementary</u>. To determine the measure of ∠6 and ∠7, notice the <u>relationship</u> between ∠2 and ∠6. As you noticed, it is <u>corresponding angles</u>. So they <u>have the same measurement</u>. If <u>∠2 = 40°</u>, then <u>∠6 = 40°</u>. As well as ∠7, because the relationship between ∠6 and ∠7 are <u>vertical pairs</u>. So the angle measurement of ∠7 is also <u>40°</u>.

  • Meanwhile, the relationship between ∠1 and ∠4 are <u>vertical pairs</u>. It means they also <u>have the same measurement</u>. So ∠4 = <u>140°</u>. The relationship between ∠1 and ∠5 are <u>corresponding angles</u>, so they also <u>have the same measurement</u>. If <u>∠1 = 140°</u>, then <u>∠5 = 140°</u>. The relationship between ∠1 and ∠8 are <u>alternate exterior angles</u>, and they also <u>have the same measurement</u>. <u>If ∠1 = 140°</u>, then <u>∠8 = 140°</u>.

Wxndy~~

8 0
2 years ago
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