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AysviL [449]
3 years ago
13

In the diagram shown , find the size of angle x​

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the given angles and equate to 720

125 + x + 130 + 90 + 165 + 100 = 720, that is

610 + x = 720 ( subtract 610 from both sides )

x = 110°

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Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step explanation:

Let

Number of hours = x

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Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

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11 = x

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Check:

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y = 20 + 4x

= 20 + 4(11)

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(1 point)
alina1380 [7]
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