The graph shows the career interests of the students at Linda's college. Suppose there are 900 students at the school. How many
of the students want to be an athlete?
1 answer:
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Answer:
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Answer:
The countertop is 8.37 square meters
Step-by-step explanation:
Let
L ----> the length of the countertop
W ----> the width of the countertop
we know that
The area of rectangle (countertop) is equal to
we have
Remember that
To convert feet to meters multiply by 0.305
so
Find the area in square meters
<h3>Answers: x = 30 and y = 150</h3>
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Explanation:
For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.
One pair of such angles is A and C
A+C = 180
x+y = 180 is one equation to form
The other pair of supplementary angles is B and D
B+D = 180
y-45+2x+15 = 180
2x+y-30 = 180
2x+y = 180+30
2x+y = 210 is the other equation to form
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So the system of equations we have is
Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.
- The x terms subtract to x-2x = -x
- The y terms subtract to y-y = 0y = 0, so the y terms go away
- The right hand sides subtract to 180-210 = -30
We end up with -x = -30 which solves to x = 30
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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y
Let's say we picked on the first equation
x+y = 180
30+y = 180
y = 180-30
y = 150
Or we could pick on the second equation
2x+y = 210
2(30) + y = 210
60+y = 210
y = 210-60
y = 150
Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.