By <em>trigonometric</em> functions and law of cosines, the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
<h3>How to find a missing variable associated to an angle by trigonometry</h3>
In this question we have a <em>geometric</em> system that includes a <em>right</em> triangle, whose missing angle is determined by the following <em>trigonometric</em> function:
sin (7 · x + 4) = 12/14
7 · x + 4 = sin⁻¹ (12/14)
7 · x + 4 ≈ 58.997°
7 · x = 54.997°
x ≈ 7.856
In addition, the <em>geometric</em> system also includes a <em>obtuse-angle</em> triangle and that angle can be also found by the law of the cosine:
7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)
17/32 = cos (7 · x + 4)
7 · x + 4 = cos⁻¹ (17/32)
7 · x + 4 ≈ 57.910°
7 · x ≈ 53.910°
x ≈ 7.701
Hence, we conclude that the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
To learn more on triangles: brainly.com/question/25813512
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Step-by-step explanation:dfafsaf ad a dafaffasfsafafsafsffsfaas
Answer:
This how you get x. First the way to find the answer is to first put 5x by itself by canceling it out and putting it on the other side of the = which will be
5x-(x-18)=
-5x -5
Which then gets you this
-(x-18)=-5x
After that its
x-18=-5x
once you have this subtract x
x-18=-5x
-x -x
-18=-6x
Then it leaves you the easy part of just dividing
-18/-6x=-6x/-6x
After dividing you get x to be 3
x=3
Once you have x=3 input that number into your equation and you get the answer.
Hope this helps
