Answer:
1 5/18
one and five eighteenths
Step-by-step explanation:
Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer is C. Granted gas prices are fixed. if you buy 1 gallon.. price is x. if you buy 2 gallons, price is 2x. and so on. constant rate of change.
Answer:
16
Step-by-step explanation:
4 goes into 64 evenly 16 times
Answer:
In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers
Step-by-step explanation:

x=14
Boomer: 10(14)+13y=1125
140+13y=1125
13y=1125-140
y= 985/13
y= 75.77 (75.77 millions of boomers in 2014)
Millenials: -2(14) +7y = 495
-28 +7y = 495
7y= 495+28
y= 523/7
y=74.71 (74.71 millios on millenials in 2014)
In 2014 the population of boombers were still greater than the population of millennials
The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.
Boomers: 10x+13y = 1125
y= (-10x +1125)/13
Millenials: -2x+7y = 495
y= (2x+495)/7
We match both expressions of "y"
(-10x +1125)/13 =(2x+495)/7
cross multiply:
(-10x +1125)*7 =(2x+495)*13
-70x + 7875 = 26x + 6435
we group similar terms:
7875 -6435 = 26x+70x
1440 = 96x
x= 1440/96
x= 15
In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers