Reduce 30/36 to its most simple form.
1 answer:
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The polygon abcdef in the coordinate plane shown with area of 18 square units.
<h3>What is a regular polygon?</h3>A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have vertices for the polygon:
a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)
After marking the coordinates on the coordinate plane and connecting the lines, we will get a polygon.
We can find the area of the shape:
Area of the shape = 18 square units
Thus, the polygon abcdef in the coordinate plane shown with area of 18 square units.
Learn more about the regular polygon here:
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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