Answer:
<em>x = 11.83°</em>
Step-by-step explanation:
<u>Equations</u>
The figure shows two parallel lines crossed by a line. We have completed the figure with another variable y. Please see the attached image.
Angles y and 4x+28 are linear, thus their sum is 180°:
y + 4x + 28 = 180
Angles y and 8x + 10 are corresponding, thus
y = 8x + 10
Substituting:
8x + 10 + 4x + 28 = 180
Simplifying:
12x + 38 = 180
Subtracting 38:
12x = 142
Dividing by 12
x = 11.83°
Answer: 3/6
Step-by-step explanation: 6 sides, 3 answers
Answer:
Second option is the right choice.
Step-by-step explanation:
![Volume=2\pi rh+2\pi r^2\\\\V=2\left(3.14\right)\left(13\right)\left(14\right)+2\left(3.14\right)\left(13\right)^2\\\\\approx2205\:in^2](https://tex.z-dn.net/?f=Volume%3D2%5Cpi%20rh%2B2%5Cpi%20r%5E2%5C%5C%5C%5CV%3D2%5Cleft%283.14%5Cright%29%5Cleft%2813%5Cright%29%5Cleft%2814%5Cright%29%2B2%5Cleft%283.14%5Cright%29%5Cleft%2813%5Cright%29%5E2%5C%5C%5C%5C%5Capprox2205%5C%3Ain%5E2)
Answer: The slope of the line is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Then, given the points
and
, you can identify that:
![y_2=5\\y_1=7\\\\x_2=-3\\x_1=1](https://tex.z-dn.net/?f=y_2%3D5%5C%5Cy_1%3D7%5C%5C%5C%5Cx_2%3D-3%5C%5Cx_1%3D1)
Knowing these values you can substitute them into the formula for calculate the slope:
![m=\frac{5-7}{-3-1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5-7%7D%7B-3-1%7D)
Finally, evaluating, you get that the slope of that line is:
![m=\frac{-2}{-4}\\\\m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2%7D%7B-4%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B1%7D%7B2%7D)
Answer:
$185 per person
Step-by-step explanation:
22,200/120=185