Answer:
Length of the rectangle = 16.5 feet
Step-by-step explanation:
Border length bought = 62.5 feet
Including 5 feet extra
Border length needed = 62.5 feet - 5 feet
= 57.5 feet
Border needed = perimeter of the rectangle = 57.5 feet
Width of the rectangle = 12.25 feet
Length of the rectangle = x feet
Perimeter of a rectangle = 2(Length + width)
57.5 =2(x + 12.25)
57.5 = 2x + 24.5
57.5 - 24.5 = 2x
33 = 2x
x = 33/2
x = 16.5 feet
Length of the rectangle = 16.5 feet
Answer:
1/2 i think i sm not sure
Step-by-step explanation:
i am answering because i realy need brainliest have a wonderful day goodluck
The properties of triangles says the total of all three angles will always be 180 degrees. We can use this property to help build our equation for the problem.
Let l be the largest angle, m be the middle, and s be the smallest.
We know from the question that
![l = 2s - 30](https://tex.z-dn.net/?f=l%20%3D%202s%20-%2030)
and that
![m = s + 10](https://tex.z-dn.net/?f=m%20%3D%20s%20%2B%2010)
.
From the property above, we know
![l + m + s = 180](https://tex.z-dn.net/?f=l%20%2B%20m%20%2B%20s%20%3D%20180)
.
We then know
![(2s - 30) + (s + 10) + s = 180](https://tex.z-dn.net/?f=%282s%20-%2030%29%20%2B%20%28s%20%2B%2010%29%20%2B%20s%20%3D%20180)
. From this, we can solve for s, and then plug that value into the equations above for l and m to find them.
Expand the parenthesis and combine like terms.
![4s - 20 = 180](https://tex.z-dn.net/?f=4s%20-%2020%20%3D%20180)
Add 20 to each side.
![4s = 200](https://tex.z-dn.net/?f=4s%20%20%3D%20%20200)
Divide both sides by 4.
![s = 50](https://tex.z-dn.net/?f=s%20%20%3D%20%2050)
So, our smallest angle is 50. Now recall the two equations for l and m above
![l = 2s - 30](https://tex.z-dn.net/?f=l%20%3D%202s%20-%2030)
and
![m = s + 10](https://tex.z-dn.net/?f=m%20%3D%20s%20%2B%2010)
.
Plug in the value of s.
![l = 2(50) - 30](https://tex.z-dn.net/?f=l%20%3D%202%2850%29%20-%2030)
Multiply 2(50).
![l = 100 - 30](https://tex.z-dn.net/?f=l%20%3D%20100%20-%2030)
Subtract 30.
![l = 70](https://tex.z-dn.net/?f=l%20%3D%2070)
The value of the largest angle is 70.
Plug in the value of s.
![m = 50 + 10](https://tex.z-dn.net/?f=m%20%3D%2050%20%2B%2010)
Add 10.
![m = 60](https://tex.z-dn.net/?f=m%20%3D%2060)
Finally, the middle angle is 60. So the answers are l = 70, m = 60, and s = 50.