Answer:
Step-by-step explanation:
For two angles x and y to be supplementary, the sum of the angles must be 180°
x+y = 180
x = 180-y... 1
If the measure of the angle is five times greater than its supplement this is expressed as:
x = 5y…. 2
Substitute equation 2 into 1
5y = 180-y
5y+y = 180
6y = 180
y = 30°
Hence the measure of the supplement is x = 5y
x = 5(30)
x = 150°
You would want to round to the nearest $1 so that the total would be more accurate.
Answer: A
Step-by-step explanation:
pretty much about the same as before.
a = weight of a large box
b = weight of a small box.
we know their combined weight is 65 lbs, thus a + b = 65.
we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.

Answer:
One piece is
inches and another piece is
inches
Step-by-step explanation:
Let smaller piece length be 
Let larger piece length be 
Since total of two pieces is 43, we can write:

Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

<em>Substituting equation 2 into equation one, we can solve for s:</em>

<em>Thus longer piece is:</em>
