The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10
<h3>How to find the equation of a line?</h3>
The slope of the first line is;
m = (y2 - y1)/(x2 - x1)
m = (32 - 10)/(4 - 0)
m = 5.5
Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10
The slope of the second line is;
m = (y2 - y1)/(x2 - x1)
m = (15 - 0)/(2 - 0)
m = 7.5
Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x
Thus, the system of equations representing these costs are;
y = 7.5x and y = 5.5x + 10
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36 = 1/2 (AE - 26)
72 = AE - 26
98 = AE
Answer:
The value of the trigonometric-ratio:
Step-by-step explanation:
Given the angle X
It is clear that:
- The opposite of the angle X = 48
- The adjacent to the angle X = 14
We know that the trigonometric-ratio of Tan X is defined as
Tan X = Opposite / Adjacent
substituting Opposite = 48, and Adjacent = 14
Tan X = 48/14
Tan X = 24 / 7
Therefore, the value of the trigonometric-ratio:
Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102