Answer:
x = 26
Step-by-step explanation:
Alternate exterior angles are always congruent
3x - 8 = 70
Add 8 to both sides;
3x = 78
Divide both sides by 3;
x = 26
Data:
v (volume) = ?
h (height) = 10 m
r (radius) = 5 m
Adopting:
![\pi \approx 3.14](https://tex.z-dn.net/?f=%20%5Cpi%20%5Capprox%203.14)
Formula:
![V = h* \pi *r^2](https://tex.z-dn.net/?f=V%20%3D%20h%2A%20%5Cpi%20%2Ar%5E2)
Solving:
![V = h* \pi *r^2](https://tex.z-dn.net/?f=V%20%3D%20h%2A%20%5Cpi%20%2Ar%5E2)
![V = 10*3.14*5^2](https://tex.z-dn.net/?f=V%20%3D%2010%2A3.14%2A5%5E2)
![V = 10*3.14*25](https://tex.z-dn.net/?f=V%20%3D%2010%2A3.14%2A25)
![\boxed{V=785\:m^3}}\end{array}](https://tex.z-dn.net/?f=%5Cboxed%7BV%3D785%5C%3Am%5E3%7D%7D%5Cend%7Barray%7D)
If:
785 m³ → 100%
y m³ → 75%
Solving: <span>Rule of three (directly proportional)
</span>
![\frac{785}{y} = \frac{100}{75}](https://tex.z-dn.net/?f=%20%5Cfrac%7B785%7D%7By%7D%20%3D%20%5Cfrac%7B100%7D%7B75%7D%20)
multiply cross
![100*y = 785*75](https://tex.z-dn.net/?f=100%2Ay%20%3D%20785%2A75)
![100y = 58875](https://tex.z-dn.net/?f=100y%20%3D%2058875)
![y = \frac{58875}{100}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B58875%7D%7B100%7D%20)
![\boxed{\boxed{y = 588.75\:m^3}}\end{array}}\qquad\quad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7By%20%3D%20588.75%5C%3Am%5E3%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Cquad%5Ccheckmark)
Answer:
<span>
The volume of water that the tank contains when it is 75% full is 588.75 m³</span>
Answer:
C, D, E
Step-by-step explanation:
C: simplify the expression
D: rewriting the expression
E: use distributive property to simplify
Answer:
B = 64° , C = 26°
Step-by-step explanation:
2x+x-6+90 =180
3x + 84 = 180
3x = 180 - 84
3x = 96
x = 32°
B = 2x
B = 2 * 32
B = 64°
C = x - 6
C = 32 - 6
C = 26°