There’s 180° in any triangle, so you can solve by doing 180-102-55= 78-55= 23° as our final answer.
3/8 multiplied by 2/4
Multiply the numerators 3x2=5
Multiply the denominators 8x4=32
5/32 this fraction cannot be simplified further
Answer:
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Step-by-step explanation:
Perimeter of a square:
The perimeter of a square of side x is given by:
![P_s = 4x](https://tex.z-dn.net/?f=P_s%20%3D%204x)
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
![P_r = 2(l + w)](https://tex.z-dn.net/?f=P_r%20%3D%202%28l%20%2B%20w%29)
The length of the sides of a square measure 2x-5.
This means that the perimeter of the square is:
![P_s = 4(2x - 5) = 8x - 20](https://tex.z-dn.net/?f=P_s%20%3D%204%282x%20-%205%29%20%3D%208x%20-%2020)
The length of a rectangle measures 2x, and the width measures x + 2.
This means that the perimeter of the rectangle is:
![P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4](https://tex.z-dn.net/?f=P_r%20%3D%202%282x%20%2B%20x%20%2B%202%29%20%3D%202%283x%20%2B%202%29%20%3D%206x%20%2B%204)
For what value of x is the perimeter of the square the same as the perimeter of the rectangle?
This is x for which:
![P_s = P_r](https://tex.z-dn.net/?f=P_s%20%3D%20P_r)
So
![8x - 20 = 6x + 4](https://tex.z-dn.net/?f=8x%20-%2020%20%3D%206x%20%2B%204)
![8x - 6x = 20 + 4](https://tex.z-dn.net/?f=8x%20-%206x%20%3D%2020%20%2B%204)
![2x = 24](https://tex.z-dn.net/?f=2x%20%3D%2024)
![x = \frac{24}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B24%7D%7B2%7D)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Answer:
the greatest amount of sap collected from any one tree is two times as great as the least amount of sap collected from any one tree
Step-by-step explanation:
Answer:
2 1/10
Step-by-step explanation:
(5 1/4)/(2 1/2)
Change mixed fraction to improper fractions
(21/4)/(2 1/2)
(21/4)/(5/2) =21/10
=2 1/10