A, or 122. When you know those two lines are parallel with that one line intersecting them both, their larger angles will be equal and their smaller angles will also be equal to each other.
16500 is the answer to rounding it
Answer:
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-5)
Step-by-step explanation:
Given:
The given matrix is.
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D)
the determinant of the above matrix is.
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=2\times (-4) - (-3)\times 1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D2%5Ctimes%20%28-4%29%20-%20%28-3%29%5Ctimes%201)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 - (-3)](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-8%20-%20%28-3%29)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 +3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-8%20%2B3)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-5)
Therefore, the determinant of the matrix is -5
We can calculate the width of the rectangle patio with pythagorean theorem:
![\begin{gathered} \text{Base of triangle=15-12=3} \\ c^2=a^2+b^2 \\ 5^2=3^2+b^2 \\ b=\sqrt[]{25-9} \\ b=\sqrt[]{16} \\ b=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BBase%20of%20triangle%3D15-12%3D3%7D%20%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%205%5E2%3D3%5E2%2Bb%5E2%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B25-9%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B16%7D%20%5C%5C%20b%3D4%20%5Cend%7Bgathered%7D)
Then, she need to put trim on the edge of the floow of the patio that is wood planks and DOES NOT share and edge with the brick part:

Loretta need to put 28 feet of trim.
6.5x2.5=16.25
0.6x2.5=1.5
6.0x2.5=15
1.) 1.5
2.) 15
3.) 16.25
I hope that helped. Good luck!