Those are supplementary angles, therefore:

Answer:
A) 3
Step-by-step explanation:
If you simply look at the given numbers, it should be pretty clear that 3 tenths is 3 times 1 tenth.
When Mary puts 1/10 kg in each cage, she can do that for 3 cages with 3/10 kg of bird seed.
__
If you let c represent the number of cages, then the amount of bird seed used will be (1/10)c. This will be equal to the amount available when we use it all for filling cages:
(1/10)c = (3/10)
Multiply both sides of the equation by 10:
c = 3
Mary can fill 3 cages with available seed.
Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is, 
Length is 15.75 inches shorter than twice the width. So, length is:

Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:

Plug in the values of 'l' and 'P' and solve for 'w'. This gives,

Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is, 
So, length of the picture is 45.37 inches and width is 30.56 inches.
Answer:
t=11 sec
Step-by-step explanation:
The position of the particle moving along the x-axis is given by:

The velocity is given by:

If s'(t)>0 then the particle is moving right.


This means that the particle is moving left when

The particle changes direction at time t=1 or t=11
If you would like to solve x^5 * x^4 * x^3, you can do this using the following steps:
<span>x^5 * x^4 * x^3 = x^(5 + 4 + 3) = x^12
</span>
The correct result would be x^12.