The triangle has two equal sides and two equal angles :)
Answer: 
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
![9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right]](https://tex.z-dn.net/?f=9x%2B27%3D117%5C%5CSubtract%20%2827%29%5C%5C9x%3D90%5C%5CDivide%289%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%3D10%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C117%2Bz%3D180%5C%5CSubtract%28117%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dz%3D63%5Cend%7Barray%7D%5Cright%5D)
<em>Hope it helps <3</em>
Answer:
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Step-by-step explanation:
Answer:
<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>
Step-by-step explanation:
The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.
So the point where it scoops up is (1, -18)
The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.
The places where it touches the x-axis is -1 and 3
A wheel with a 20 in diameter has a circumference of 2π*(20 in) = 40π in.
For every 40π in traveled, a wheel makes one complete revolution, or turns an angle of 2π rad.
We need to convert from in to mi: there are 12 in to 1 ft, and 5280 ft to 1 mi, and so there are 12*5280 = 63,360 in to 1 mi.
We also need to convert h to min: there are 60 min to 1 h.
So we have an angular speed of
(45 mi/h) * ((2π)/(40π) rad/in) * (63,360 in/mi) * (1/60 h/min) = 2376 rad/min
As mentioned before, there are 2π rad to 1 rev, so
(2376 rad/min) * (1/(2π) rev/rad) ≈ 378.152 rev/min
(where rev/min is equivalent to rpm)
