First, find the value of x. Note that the angles x, 0.5x and 3x sum up to 4.5x, and that this sum has the value 180 degrees. Solving this equation for x, we get x = 40 degrees.
Now, 0.5x and 0.5y are vertical angles, and thus x = y. So, with x being 40 degrees, y = 40 degrees.
Answer:
the percentage of profit is 45%
We need to increase 8,500 by 34%
<span>Therefore, multiply 8,500 by 1.34 </span>
<span>Answer: 11,390 tickets in its 10th year</span>
<u>The general equation that represents height of the t-shirt as a function of time:</u>
![64/4=16 \\f(t)= -16t^{2} +64t+5](https://tex.z-dn.net/?f=64%2F4%3D16%20%5C%5Cf%28t%29%3D%20-16t%5E%7B2%7D%20%2B64t%2B5)
<u>The maximum height of the t-shirt:</u>
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<u>How long will it take the t-shirt to reach its maximum height:</u>
2 seconds
<u>How long does it take for the t-shirt to reach the crowd:</u>
<u />![49=-16t^{2} +69t+5\\o=-16t^{2}+69t-30\\\\\frac{-64+\sqrt[]{-64^{2-4(-16)(-30)}} }{2(-16)} = .54](https://tex.z-dn.net/?f=49%3D-16t%5E%7B2%7D%20%2B69t%2B5%5C%5Co%3D-16t%5E%7B2%7D%2B69t-30%5C%5C%5C%5C%5Cfrac%7B-64%2B%5Csqrt%5B%5D%7B-64%5E%7B2-4%28-16%29%28-30%29%7D%7D%20%7D%7B2%28-16%29%7D%20%3D%20.54)
or
![seconds](https://tex.z-dn.net/?f=seconds)
<u>The range of this graph in inequality and interval notation:</u>
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<u />
X = 79/80 or 0.9875
If you’re solving for X