(-5, 7) - Quadrant II
(8 1/2, -4) - Quadrant IV
(0,5) - y axis
Step-by-step explanation:
Answer:
They are equal to each other, because one vertical angle is a reflection of the other. True
They are not equal to each other, because one vertical angle is not a reflection of the other. False
They are equal to each other, because one vertical angle is supplementary to the other. False
They are not equal to each other, because one vertical angle is not supplementary to the other. False

Length of each side of each of these three equilateral triangle is :
Solution is in attachment ~
<span>Differentiate implicitly:
</span>

<span>
Solve for y
</span>

<span>When the tangent is parallel to the x-axis we have y'=0, so we must solve
</span>

<span>To find the actual value of x we plug this expression for y into the original equation
</span>
![x^3-3x^3+27x^6=0 \\ \\x^3(27x^3-2)=0\implies x=\{0,{\sqrt[3]2\over3}\}](https://tex.z-dn.net/?f=x%5E3-3x%5E3%2B27x%5E6%3D0%0A%5C%5C%0A%5C%5Cx%5E3%2827x%5E3-2%29%3D0%5Cimplies%20x%3D%5C%7B0%2C%7B%5Csqrt%5B3%5D2%5Cover3%7D%5C%7D)
<span>Plugging this into the formula for y above gives the points
</span>
![(0,0)\text{ and }({\sqrt[3]2\over3},{\sqrt[3]4\over3})](https://tex.z-dn.net/?f=%280%2C0%29%5Ctext%7B%20and%20%7D%28%7B%5Csqrt%5B3%5D2%5Cover3%7D%2C%7B%5Csqrt%5B3%5D4%5Cover3%7D%29)
<span>which is where our tangent will be parallel to the x-axis.</span>
<span>
</span>
1 inch = 80 miles
Half of an inch = 40 miles
80 miles + 40 miles = 120 miles.
1 + 0.5 = 1.5 inches.
The answer is 120 miles