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olga nikolaevna [1]
4 years ago
13

Given the following figure. What is the value of x

Mathematics
2 answers:
Nookie1986 [14]4 years ago
3 0
Why?

Because if you draw a line from A to D to make a triangle AED, then triangle all angle add up equal 180.

kenny6666 [7]4 years ago
3 0

Answer: 11

Step-by-step explanation: We have an irregular pentagon

 

The sum of the interior angles  = 540°

 

So

 

84  +  12x  + 92  + (9x - 16)  +  (13x + 6)  = 540       simplify

 

166 +  34x  = 540              subtract 166 from both sides

 

34x  = 374        divide both sides by  34

 

x  = 11

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Step-by-step explanation:

3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12

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\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}

Therefore, the values of b are:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

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