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Nana76 [90]
3 years ago
11

Plz help me ASAP!!!!

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0

Answer:

a) Given

b) Given

c) Definition of Supplementary Angles

d) Same-side Interior Angles Theorem

e) Converse of the Same-side Interior Angles Theorem

Step-by-step explanation:

A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.

We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem


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PLEASE HELP 20 POINTS<br> solve the system of equations y=-5x-7 and -4x-3y=-1 by substitution.
Ainat [17]

Answer:

Solution: x = -2; y = 3 or (-2, 3)

Step-by-step explanation:

<u>Equation 1:</u>  y = -5x - 7  

<u>Equation 2:</u> -4x - 3y = -1

Substitute the value of y in Equation 1 into the Equation 2:

-4x - 3(-5x - 7)  = -1

-4x +15x + 21 = -1

Combine like terms:

11x + 21 =  - 1

Subtract 21 from both sides:

11x + 21 - 21 =  - 1 - 21

11x = -22

Divide both sides by 11 to solve for x:

11x/11 = -22/11

x = -2

Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:

-4x - 3y = -1

-4(-2) - 3y = -1

8 - 3y = -1

Subtract 8 from both sides:

8 - 8 - 3y = -1 - 8

-3y = -9

Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3

y = 3

Therefore, the solution to the given systems of linear equations is:

x = -2; y = 3 or (-2, 3)

Please mark my answers as the Brainliest if you find this helpful :)

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3 years ago
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This is a very challenging equation but I'll try my best!

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Can someone help me with 3 a and b?? Thank you
polet [3.4K]
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a
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3 years ago
One more than the difference between 18 and seven times in number is -9
almond37 [142]
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3 years ago
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adoni [48]
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<span>Multiply x and 16
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1/4 *24=6


<span>1/4*(24-16*x) evaluates to 6-4x</span>
5 0
4 years ago
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