The sum of the interior angles of any triangle is 180 degrees.
<em> 4 1</em>
<em>u + -- = 2 ---</em>
<em> 5 3</em>
<em> 1 2 * 3 + 1 7</em>
<em>2 ---- = ---------------- = ------</em>
<em> 3 3 3</em>
<em>Now we have to do</em>
<em> 4 7</em>
<em>u + -- = ---</em>
<em> 5 3</em>
<em> 7 4 7 * 5 - 4 * 3</em>
<em>u = ------- - ----- = ------------------------ </em>
<em> 3 5 3 * 5</em>
<em> 35 - 12 23</em>
<em>u = ------------------ = ------</em>
<em> 15 15</em>
Answer:
Step-by-step explanation:
We have the following system
![\left[\begin{matrix} 4 & -2 \\ 2 & 1 \end{matrix}\right]x =\left[\begin{matrix} 8 \\ 2 \end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D%204%20%26%20-2%20%5C%5C%202%20%26%201%20%5Cend%7Bmatrix%7D%5Cright%5Dx%20%3D%5Cleft%5B%5Cbegin%7Bmatrix%7D%208%20%5C%5C%202%20%5Cend%7Bmatrix%7D%5Cright%5D)
The number of solutions depend on the determinant of the matrix of the system. If the determinant is different from 0, then it has one unique solution, if it 0 then it has infinite solutions.
Note that the determinant of a matrix
![\left[\begin{matrix} a & b \\ c & d \end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D%20a%20%26%20b%20%5C%5C%20c%20%26%20d%20%5Cend%7Bmatrix%7D%5Cright%5D)
is ad-bc. So in our case we have 4*1-(-2)*2 = 8 which is not 0. Then the system has an unique solution.
Answer:
75% (sorry if Im wrong)
Step-by-step explanation:
If your taking a 50% discount off the original number your left with half, correct. If you take another 50% of thats 25% of the original number. you took more than 50% off and less than 100%, so 75%.
D. the centroid
i think so
