Answer with Step-by-step explanation:
We are given that the set of vectors
is lineraly dependent set .
We have to prove that the set 
is linearly dependent .
Linearly dependent vectors : If the vectors 
are linearly dependent therefore the linear combination
Then ,there exit a scalar which is not equal to zero .
Let 
then the vector 
will be zero and remaining other vectors are not zero.
Proof:
When 
are linearly dependent vectors therefore, linear combination of vectors of given set
By definition of linearly dependent vector
There exist a scalar which is not equal to zero.
Suppose 
then 
The linear combination of the set
When 
Therefore,the set is linearly dependent because it contain a vector which is zero.
Hence, proved .
Slope is just tangent of the graph
If there is a really short way of doing this, I don't see it. The only way I know to do it is to find the third angle of both triangles.
So for F the third angle for each of the pairs is
left side: 180 - (51 + 30) = 180 - 81 = 99
right side: 180 - (109 + 30) = 180 - 139 = 41
This is not the answer.
G
180 - (92 + 70) = 180 - 162 = 18
180 - (28 + 70) = 180 - 98 = 82
This is not the answer either.
H
180- (58 + 30) = 180 - (88) = 92
180 - (90 + 58) = 180 - 148 = 32
Not at all.
180 - (35 + 82) = 180 - 117 = 63
180 - (82 + 63) = 180 - 145 = 35
This pair has a third angle that is equal to the other triangle's pair. This is your answer.
9) Area of Figure = Area of rectangle + area of triangle
A = 17 * 22 + (1/2 * 12 * 19)
A = 374 + 114
A = 488 cm²
10) Area of Figure = Area of rectangle + area of triangle
A = 8 * 4 + (1/2 * 3*4)
A = 32 + 6
A = 38 cm²
Hope this helps!
