Find the value of variable x
1 answer:
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A Comment "If i know the measures of angles C and B, I can find the measures of A and D" is TRUE
Explanation :
If we know angles C and B we can find angles A and D as,
As from figure we know
A+B = 180°
∴ A = 180° - B ... we know B so we get A
Also,
B+C+D = 180° ... as BCD is a triangle
∴ D = 180° - (B+C) ... we know B and C so we get D
Let 
be the tickets that the adults bought, and
be the tickets that children bought.
From the problem we have the system of linear equations:
The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for
Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
Last but not least, to find the total number of tickets, we are going to add and 
:
We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>
From the problem we have the system of linear equations:
The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for
Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
Last but not least, to find the total number of tickets, we are going to add
We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>