Answer:
Angle 1 = 10 degree, Angle 2 = 170 degree
Step-by-step explanation:
m1 + m2 = 180 degree
(x - 24) + 5x = 180
6x - 24 = 180
6x = 204
x = 34
m1 = x - 24 = 34 -24 = 10 degree
m2 = 5x = 5(34) = 170 degree
The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)
<h3>How to determine the equation of the graph?</h3>
From the graph the x-intercepts are:
x = -4 and x = 3
Rewrite as:
x + 4 = 0 and x - 3 = 0
Evaluate the product of both equations
(x + 4) * (x - 3) = 0* 0
This gives
(x + 4)(x - 3) = 0
Express as a function
C(x) = (x + 4)(x - 3)
Hence, the equation of the function is C(x) = (x + 4)(x - 3)
Read more about quadratic functions at:
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According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so