1) Vertical angles theorem
- Angles EOF and BOC are vertical angles.
2) Angle addition postulate
- Angles AOB and BOC add to form angle AOC.
3) Linear pair
- Angles that add to form a straight angl are a linear pair
4) Subtraction property of equality
- They subtracted angle AOC from both sides.
Answer:The lateral area is ![364\ cm^{2}](https://tex.z-dn.net/?f=364%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The lateral area of the right prism is equal to
![LA=Ph](https://tex.z-dn.net/?f=LA%3DPh)
where
P is the perimeter of the base
H is the height of the prism
Find the perimeter of the base P
----> the rhombus has four equal sides
![h=13\ cm](https://tex.z-dn.net/?f=h%3D13%5C%20cm)
substitute
![LA=28(13)=364\ cm^{2}](https://tex.z-dn.net/?f=LA%3D28%2813%29%3D364%5C%20cm%5E%7B2%7D)
Answer:
Giant has the better deal
Step-by-step explanation:
4.00/ 12 is .3333333
6.00/20 is .30
so . 30 is less that .3333333333
therefore Giant has the better deal
Step-by-step explanation:
![3 {x}^{2} + 12x = 15 \\ 3 ({x}^{2} + 4x) = 15 \\ {x}^{2} + 4x = 5 \\ {x}^{2} + 4x = 5 \\ {x}^{2} + 4x + 4 = 5 + 4 \\ {x}^{2} + 4x + 4 = 9 \\ {x}^{2} + 4x + {2}^{2} = {3}^{2} \\ \red{ \bold{ (x + 2)^{2} = {3}^{2}}} \\](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%20%3D%2015%20%5C%5C%203%20%28%7Bx%7D%5E%7B2%7D%20%20%2B%204x%29%20%3D%2015%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%3D%205%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%20%3D%205%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%204%20%3D%205%20%2B%204%20%5C%5C%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%204%20%3D%209%20%5C%5C%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%20%20%7B2%7D%5E%7B2%7D%20%20%3D%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%20%5Cred%7B%20%5Cbold%7B%20%28x%20%2B%202%29%5E%7B2%7D%20%20%20%3D%20%20%7B3%7D%5E%7B2%7D%7D%7D%20%20%5C%5C%20)