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Dafna1 [17]
3 years ago
15

A park in the shape of quadrilateral PQRS is bordered by four sidewalks. Find the measure of each

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

135°, 63°, 63°, 99°

Step-by-step explanation:

Find attached the diagram used in solving the question.

We would use formula for sum of interior angles to get each exterior angle.

From the diagram, we added additional variables to be able to solve for sum of interior angles.

Sum of angle on a straight line = 180°

a° +15z° = 180°

b° +7z° = 180°

c° +7z° = 180°

d° +11z° = 180°

Where a,b,c and d are interior angles

Sum of interior angles = 180(n-2)

n = number of sides

For quadrilateral, n= 4

a°+b°+c°+d° = 180(n-2)

180-15z +180-7z+180-7z+180-11z = 180(4-2)

720-40z = 180(2)

720 - 360 = 40z

z = 360/40

z = 9

Each exterior angle:

15z = 15×9 = 135°

7z = 7×9 = 63°

7z = 7×9 = 63°

11z = 11×9 = 99°

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By evaluating a linear equation, we can complete the table:

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      4                            $184

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<h3>How to fill the table?</h3>

We know that her membership fee costs $80.00, and it allows her to get her hair done for $26.00 for each visit, so if she does x visits, then the total cost for these x visits (including the membership fee) is:

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Then the complete table is:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

If you want to learn more about linear equations:

brainly.com/question/1884491

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we know that

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substitute

y=150(1+0.06)^x

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For x= 1 year

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