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charle [14.2K]
3 years ago
11

Q11. The ratio of angles of a quadrilateral arein 3: 5:9:13. Find the angles.​

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Step-by-step explanation:

Let us take ratio constant as 'x'

Therefore ratio of angles

3x:5x:9x:13x

Sum of interior angles of quadrilateral is 360 degree.

3x+5x+9x+13x=sum of interior angles of quadrilateral

=>3x+5x+9x+13x=360

=>30x=360

=>x=12

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Total cost of making x forks and y spoons is 1.7x + 1.3y

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1.7x + 1.3y = 37.90 - - - - - - - - - - 1

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Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

5.6x + 5.4y = 147.20 - - - - - - - -2

Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

Subtracting

- 1.9x = - 38

x = - 38/- 1.9

x = 20

Substituting x = 20 into equation 1, it becomes

1.7×20 + 1.3y = 37.90

34 + 1.3y = 37.90

1.3y = 37.90- 34 = 3.9

y = 3.9/1.3

y = 3

5 0
3 years ago
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