[20 pts] Hi! Could I please get some help? Using the map above, assuming that Browning St and Old St are parallel, if angle 1 is
1 answer:
The value of x is 54 and the measure of angle 8 is 64 degrees
<h3>How to determine the value of x and find the measure of angle 8?</h3>The given parameters are
Angle 1 = 2x + 10
Angle 8 = x + 10
The figure that completes the question is added as an attachment
From the figure, we have
Angle 1 = Angle 3 ---- vertical angles
Angle 3 + Angle 8 = 180 ---- internal angles within the transversal
Substitute Angle 1 = Angle 3 in the equation Angle 3 + Angle 8 = 180
Angle 1 + Angle 8 = 180
Substitute the known values in the above equation
2x + 8 + x + 10 = 180
Evaluate the like terms
3x = 162
Divide both sides by 3
x = 54
Substitute x = 54 in Angle 8 = x + 10
Angle 8 = 54 + 10
Evaluate
Angle 8 = 64
Hence, the value of x is 54 and the measure of angle 8 is 64 degrees
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Answer:
C
Step-by-step explanation:
We want to determine the vertex of the quadratic equation:
Recall that the vertex is given by the formulas:
In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.
Determine the <em>x-</em>coordinate of the vertex:
To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:
In conclusion, the vertex of the quadratic equation is (1, 2).
Hence, our answer is C.