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Neko [114]
3 years ago
6

Need answers ASAP

Mathematics
1 answer:
KatRina [158]3 years ago
8 0
Supplementary means they add up to 180, so you can write an equation:
3x + 2x - 25 = 180
5x - 25 = 180
+ 25
5x = 205
÷ 5
x = 41
I hope this helps!
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Factor 4a^2-b^2-2a+b
Marianna [84]

Answer:Equation at the end of step 1

 

STEP

2

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           4a2 - b2

Simplify   ————————

            2a - b  

Trying to factor as a Difference of Squares:

2.1      Factoring:  4a2 - b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2  

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (2a + b)  •  (2a - b)  

Canceling Out :

2.2    Cancel out  (2a - b)  which appears on both sides of the fraction line.

Final result :

 2a + b

Step-by-step explanation:

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Sam cuts a triangular piece of paper into 2 congruent pieces. What are congruent pieces?
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Step-by-step explanation:

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At one really small university, there are 1,200 people. Of these students, 53% are undergraduates. 37% are graduates, and the re
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There are 120 professors at the university

Step-by-step explanation:

At one really small university:

  • There are 1,200 people
  • 53% are undergraduates
  • 37% are graduates
  • The rest are going for their doctorate

We need to find how many professors are at the university

Assume that the number of people the university is 100%

∵ 53% of the people in the university are undergraduates

∵ 37% of the people in the university are graduates

∵ There are 100% people in the university

- To find the rest subtract the sum of the undergraduates and

   graduates from 100%

∵ The rest = 100% - (53% + 37%)

∴ The rest = 100% - 90%

∴ The rest = 10%

∴ The rest is 10% from 1200 people in the university

∵ The rest are going for their doctorate

∴ The rest is the number of the professors in the university

∵ The rest is 10% from 1200 people in the university

∴ The number of professors = 10% × 1200

∵ 10% = 10 ÷ 100 = 0.1

∴ The number of professors = 0.1 × 1200

∴ The number of professors = 120

There are 120 professors at the university

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

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Answer:

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