Answer:
x = 5
Step-by-step explanation:
The sum of interior angles in a triangle is 180°
91° + 10x - 4° + 8x + 3° = 180° add the like terms
90° + 18x = 180°
18x = 180° - 90
18x = 90° divide both sides by 18
x = 5
It's the formula of the volume of a cone with equal lengths of radius and height.
![\dfrac{1}{3}\pi r^3=V\ \ \ \ |\cdot3\\\\\pi r^3=3V\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{\pi}\to r=\sqrt[3]{\dfrac{3V}{\pi}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E3%3DV%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C%5Cpi%20r%5E3%3D3V%5C%20%5C%20%5C%20%5C%20%7C%3A%5Cpi%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B3V%7D%7B%5Cpi%7D%5Cto%20r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B%5Cpi%7D%7D)
Answer:
$12 is the price of a ticket
Step-by-step explanation:
happy day ahead
<h3>
Answer: B) 6</h3>
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Explanation:
Add the equations by adding the terms straight down.
The x terms add to x+x = 2x.
The y terms add to y+(-y) = y-y = 0y = 0, so the y terms go away
The constants add to 5+7 = 12
The z terms add to -z+z = 0z = 0 and those go away as well
After all that adding, we have 2x = 12 which solves to x = 6 after dividing both sides by 2.