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Answer:
x=16
Step-by-step explanation:
First, minus 80 from 180 because the sum of all the angles in a triangle is 180. Then use linear equations. 100=(4x-4)+(0.5x+32)
After that, you will get 100=4.5x+28
x=16
The coordinates of the vertex for the quadratic function are given as follows: (100,10).
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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A system of equation is consistent if there is at least one solution. Since this system of equations has a single solution, it is consistent, the answer is true.