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Hi!
<u>Your answer is 52.</u>
To start off, let's start with some facts that will help us solve this:
<u><em></em></u>
<u><em>Supplementary angles</em></u> are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
<u><em>Triangles (all of them)</em></u> have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
Therefore, x is equal to 52.
Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.
Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.
Set these equations equal to zero
If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.
and
