Darnell is building a triangular community garden plot.
Which set of lengths can be used to create the plot perimeter?
Recall the triangle inequality theorem which states that the sum of any two sides must be greater than the third side.
![\begin{gathered} a+b>c \\ b+c>a_{} \\ a+c>b \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%2Bb%3Ec%20%5C%5C%20b%2Bc%3Ea_%7B%7D%20%5C%5C%20a%2Bc%3Eb%20%5Cend%7Bgathered%7D)
Let us analyze each of the given options.
Option A:
a = 20 feet
b = 12 feet
c = 34 feet
![\begin{gathered} a+b>c \\ 20+12>34 \\ 32>34\quad (\text{not satified)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%2Bb%3Ec%20%5C%5C%2020%2B12%3E34%20%5C%5C%2032%3E34%5Cquad%20%28%5Ctext%7Bnot%20satified%29%7D%20%5Cend%7Bgathered%7D)
Option B:
a = 8 feet
b = 10 feet
c = 19 feet
![\begin{gathered} a+b>c \\ 8+10>19 \\ 18>19\quad (\text{not satisfied)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%2Bb%3Ec%20%5C%5C%208%2B10%3E19%20%5C%5C%2018%3E19%5Cquad%20%28%5Ctext%7Bnot%20satisfied%29%7D%20%5Cend%7Bgathered%7D)
Option C:
a = 5 feet
b = 8 feet
c = 14 feet
![\begin{gathered} a+b>c \\ 5+8>14 \\ 13>14\quad (\text{not satisfied)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%2Bb%3Ec%20%5C%5C%205%2B8%3E14%20%5C%5C%2013%3E14%5Cquad%20%28%5Ctext%7Bnot%20satisfied%29%7D%20%5Cend%7Bgathered%7D)
Option D:
a = 12, feet
b = 14 feet
c = 20 feet
![\begin{gathered} a+b>c \\ 12+14>20 \\ 26>20\quad (\text{satisfied)} \\ b+c>a \\ 14+20>12 \\ 24>12\quad (\text{satisfied)} \\ a+c>b \\ 12+20>14 \\ 22>14\quad (\text{satisfied)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%2Bb%3Ec%20%5C%5C%2012%2B14%3E20%20%5C%5C%2026%3E20%5Cquad%20%28%5Ctext%7Bsatisfied%29%7D%20%5C%5C%20b%2Bc%3Ea%20%5C%5C%2014%2B20%3E12%20%5C%5C%2024%3E12%5Cquad%20%28%5Ctext%7Bsatisfied%29%7D%20%5C%5C%20a%2Bc%3Eb%20%5C%5C%2012%2B20%3E14%20%5C%5C%2022%3E14%5Cquad%20%28%5Ctext%7Bsatisfied%29%7D%20%5Cend%7Bgathered%7D)
As you can see, only option D satisfies the triangle inequality theorem
Therefore, option D is the correct answer.
Answer: False
The tenth place means there will be 1 decimal.
75.2515
because they 5 is left to the 2, and 5 means we round up, the 2 becomes a 3. Therefore, it would equal 75.3
Answer:
an expression is a combination of variables, operations, and symbols *it does not has an equal sign* (that would be an equation)
Step-by-step explanation: