since parallel lines have the same slope, If the slope of AB is -3 then the slope of CD will also be -3
Step-by-step explanation:
m/1 = ( 180 - 65 - 46 ) - 180
= 180 - 59 = 121
m/2 = 180 - 121 = 59
m/3 = ( 180 - 142 ) - 180
= 180 - 32 - 82
= 66
m/4 = 66
m/5 = 180 - m/2 - m/4
= 180 - 59 - 66
= 180 - 125 = 55
The sum of interior angles of triangles = 180°
<h2>
Answer:</h2>
The values of x for which the given vectors are basis for R³ is:

<h2>
Step-by-step explanation:</h2>
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
![\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%261%5C%5C0%261%261%5C%5C-1%262%26x%5Cend%7Barray%7D%5Cright%5D)
Now, the determinant of this matrix is:

Hence,

8x3.5= ? That’s gonna be your answer.
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