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Zigmanuir [339]
3 years ago
7

∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

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Answer:

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If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥  3g and plug in each variable from the answer choices until you find the variables that make the linear system true.


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3 years ago
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3 years ago
Solving by elimination <br> -6x+6y=6 -6x+3y=-12
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So elimination method is basically adding the equations and canceling out variables. 
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The eaiest way to solve is by multiplying the bottom equation by -1.
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