Answer:
x=8
Step-by-step explanation:
We know that the sum of two opposite interior angles equals one exterior angle
So
8x-5+27°=9x+14
8x+22=9x+14
22-14=9x-8x
x=8
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
Pretty sure it’s C. Quadratic
we know that
In a right triangle
the value of the cosine is equal to
![cos(x)=\frac{adjacent\ side\ angle\ x}{hypotenuse}](https://tex.z-dn.net/?f=cos%28x%29%3D%5Cfrac%7Badjacent%5C%20side%5C%20angle%5C%20x%7D%7Bhypotenuse%7D)
and the value of the sine is equal to
![sin(x)=\frac{opposite\ side\ angle\ x}{hypotenuse}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7Bopposite%5C%20side%5C%20angle%5C%20x%7D%7Bhypotenuse%7D)
so
<u>First case</u>
![adjacent\ side\ angle\ x=4.3\ units](https://tex.z-dn.net/?f=adjacent%5C%20side%5C%20angle%5C%20x%3D4.3%5C%20units)
![hypotenuse=6.7\ units](https://tex.z-dn.net/?f=hypotenuse%3D6.7%5C%20units)
substitute
![cos(x)=\frac{4.3}{6.7}](https://tex.z-dn.net/?f=cos%28x%29%3D%5Cfrac%7B4.3%7D%7B6.7%7D)
![x=cos^{-1} (\frac{4.3}{6.7})](https://tex.z-dn.net/?f=x%3Dcos%5E%7B-1%7D%20%28%5Cfrac%7B4.3%7D%7B6.7%7D%29)
therefore
The first case is the solution
<u>Second case</u>
![opposite\ side\ angle\ x=4.3\ units](https://tex.z-dn.net/?f=opposite%5C%20side%5C%20angle%5C%20x%3D4.3%5C%20units)
![hypotenuse=6.7\ units](https://tex.z-dn.net/?f=hypotenuse%3D6.7%5C%20units)
substitute
![sin(x)=\frac{4.3}{6.7}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7B4.3%7D%7B6.7%7D)
![x=sin^{-1} (\frac{4.7}{6.7})](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%20%28%5Cfrac%7B4.7%7D%7B6.7%7D%29)
therefore
The second case is not the solution
<u>Third case</u>
![adjacent\ side\ angle\ x=6.7\ units](https://tex.z-dn.net/?f=adjacent%5C%20side%5C%20angle%5C%20x%3D6.7%5C%20units)
![hypotenuse=4.3\ units](https://tex.z-dn.net/?f=hypotenuse%3D4.3%5C%20units)
<u>Note The hypotenuse cannot be smaller than the adjacent leg or the opposite leg. This problem has errors </u>
substitute
![cos(x)=\frac{6.7}{4.3}](https://tex.z-dn.net/?f=cos%28x%29%3D%5Cfrac%7B6.7%7D%7B4.3%7D)
![x=cos^{-1} (\frac{6.7}{4.3})](https://tex.z-dn.net/?f=x%3Dcos%5E%7B-1%7D%20%28%5Cfrac%7B6.7%7D%7B4.3%7D%29)
therefore
The third case is not the solution
the solution is the first case
see the attached figure
Answer:
you just did
Step-by-step explanation: