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Ainat [17]
3 years ago
6

How do I solve for x?

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

x=11 degrees

Step-by-step explanation:

There's a property of a triangle where the sum of two of the interior angles is equal to 180-(last interior angle). In this case, 180-(last interior angle) is equal to 7x-1, because angles BAE and BAC are supplementary, which means that they add up to 180 degrees.

So, we can set up an equation

(56)+(2x-2)=(7x-1)

Solving, we get

56+2x-2=7x-1

56-2=5x-1

54+1=5x

55=5x

11=x

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Arlecino [84]
You need to use the Law of Cosines:
AC² = AB² + BC² - 2·AB·BC·cos(b)
       
Therefore, you get:

AC = √(90² + 80² - 2·90·80·cos(50)
      =√5243.86
      = 72.4 in

Now you can sum up all the sides in order to find the perimeter:

AB + BC + AC = 90 + 80 + 72.4 = 242.4 in

The correct answer is A) 242.4 in

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4 years ago
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aksik [14]

Hi

Answer in photo

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3 years ago
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elena-s [515]

Answer:

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Answer:

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