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2 years ago

If an interior angle of a regular polygon measures 144° how many sides does the polygon have

Mathematics

1 answer:

Vikki [24]2 years ago

6 0

Answer:

Step-by-step explanation:

The interior angle of a polygon is given by

(n-2)×180

or for regular polygon n × each interior angle.

Therefore since it is a regular polygon

Given than interior angle is 144

Then,

(n-2)×180=n× interior angle

180n-360=144n

180n-144n=360

36n=360

Then, n=360/36

n=10

Then the polygon has 10_sides which is a decagon.

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Answer:

3.5 (D)

Step-by-step explanation:

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3 years ago

a restaurant has an all-you-can-eat buffet. They charge $13.95 per person. what is the constant of proportionality?

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Step-by-step explanation:

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3 years ago

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours

uysha [10]

Answer:

$\$(990-t)$

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

$t+y=90$

$y=90-t$ -----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

$z=10t+11y$ ----> equation B