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
Answer:
D
Step-by-step explanation:
Answer:
m < S = 40°
Step-by-step explanation:
According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
The exterior angle is m < R = 140°. In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.
Given m < T = (8x + 4)°
m < S = (3x + 4)°
We can set up the following equality statement to solve for the value of x:
m < R = m < T + m < S
140° = (8x + 4)° + (3x + 4)°
Combine like terms:
140° = 11x + 8
Subtract 8 from both sides:
140° - 8 = 11x + 8 - 8
132° = 11x
Divide both sides by 11:
132°/11 = 11x/11
12 = x
Substitute the value of x into the equality statement to verify whether it is the correct value:
140° = (8x + 4)° + (3x + 4)°
140° = [8(12) + 4]° + [3(12) + 4]°
140° = (96 + 4)° + (36 + 4)°
140° = 100° + 40°
140° = 140° (True statement. Therefore, the correct value for x = 12).
Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°
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