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irina [24]
3 years ago
9

if angle A and angle B are supplementary, and angle A and angle C are supplementary. What conclusion is valid

Mathematics
2 answers:
Fantom [35]3 years ago
6 0

Answer:

no angle c is not supplementary

Step-by-step explanation:

 

Angle A and angle B are supplementary

 

A+B=180°   Equation 1

 

The measure of angle B is equal to four times the complement of angle A

 

The complement of angle A=90°-A

 

B=4(90°-A)  

 

B=360°-4A

 

Substitute the value of B in equation 1

 

A+360°-4A=180°

 

-3A=-180°

 

A=60°

 

The measure of angle A=60°

 

B=360°-4A=360°-4(60°)=120°

 

The measure of angle B=120°

lana66690 [7]3 years ago
4 0

Answer:

angle A + angle B = 180°

angle A + angle C = 180°

subtracting angle A and 180• from both sides we get,

angle B = angle C

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Step-by-step explanation:

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Solve the linear system of equations using the linear combination method.<br><br> {8a−4b=205a−8b=62
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Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem. 

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40. 

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D 

So there you have your first answer. 

a = -2 

Now we're going to use the first answer to help us find b. 

For the second equation, all you're going to do is plug in that a. 

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Now we move the -10 to the other side...

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Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72 

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Hope this makes sense! Also I had the same question on my test and I got it right. :)

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