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Doss [256]
4 years ago
8

Solve for xthis is really difficult ​

Mathematics
2 answers:
Alex Ar [27]4 years ago
4 0

Answer:

all the angles in a triangle will add to 180

65 + 57 + 2x = 180

subtract the 65 and 57 from both sides

2x = 58

x = 29

D) 29

hope this helps :)

Step-by-step explanation:

djyliett [7]4 years ago
4 0

Answer: x=29

Step-by-step explanation:

In a triangle, the sum of the measures of all angles is 180 degrees.

Therefore, we can add up all the angles in this triangle, setting them equal to 180:

65+57+2x=180

Using the equation above, solve for x:

Simplify:

122+2x=180

Subtract 122 from both sides:

(122+2x)-122=180-122

Simplify:

2x=58

Divide both sides by 2:

2x/2=58/2

Simplify:

x=29

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
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Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

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Answer:7

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