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3 years ago

What is the measure on an interior angle of this polygon?

Mathematics

2 answers:

Leona [35]3 years ago

7 0

Answer:

a. 160

b. 18

Step-by-step explanation:

a. When the exterior and interior angles are added together, they add up to 180°. So this means that the interior angle equals 160°

$180-20=160$

b. The total of all exterior angles will always add up to 360°. With this information, you can divide 360 by the exterior angle to get the total sides of the shape.

$\frac{360}{20} =18$

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

a) 160°

b) 18 sides

Step-by-step explanation:

Interior angle = 180 - exterior

= 180 - 20 = 160°

Each angle of a regular polygon:

[(n-2)×180]/n = 160

180n - 360 = 160n

20n = 360

n = 18

Alternate approach for no. of sides:

360/n = each exterior angle

360/n = 20

n = 360/20 = 18

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The year the Greek city of Helike disappeared is -1/5 times the year the US civil war ended. Let w represent the year the war en

Lostsunrise [7]

Answer:

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-1/5x=w

w=1865

so -1/5x=1865

x=-9325

Hope This Helps!!!

5 0

2 years ago

Read 2 more answers

5. A survey of student pizza preferences showed that 43 students preferred cheese, 56 preferred sausage, 39 preferred pepperoni,

cestrela7 [59]

Answer:

P (Cheese) = 0.199, P (Sausage) = 0.259, P (Pepperoni) = 0.181,

P (Supreme) = 0.130, P (Another Kind) = 0.144

and P (Does not like any kind) = 0.088

Step-by-step explanation:

Given:

Number of students who prefer cheese = 43

Number of students who prefer sausage = 56

Number of students who prefer pepperoni = 39

Number of students who prefer supreme = 28

Number of students who prefer another kind = 31

Number of students who did not like any kind = 19

∴ The total number of students surveyed = $43+56+39+28+31+19=216$ The number of students who prefer pizza = $43+56+39+28+31=197$

The probability that a students likes pizza is,

$P(Student\ likes\ pizza)=\frac{No.\ of\ students\ who\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{197}{216} \\=0.912$

The probability that a students does not likes pizza is,

$P(Student\ does\ not\ likes\ pizza)=\frac{No.\ of\ students\ who\ does\ not\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{19}{216} \\=0.088$

The probability distribution of students who prefer different kinds of pizza is:

The probability that a student likes cheese:

$P(A\ Student\ prefers\ cheese)=\frac{No.\ of\ students\ who\ prefer\ cheese}{Total\ no.\ of\ students\ surveyed}$

$=\frac{43}{216}\\=0.199$

The probability that a student likes sausage:

$P(A\ Student\ prefers\ sausage)=\frac{No.\ of\ students\ who\ prefer\ sausage}{Total\ no.\ of\ students\ surveyed}$

$=\frac{56}{216}\\=0.259$

The probability that a student likes pepperoni:

$P(A\ Student\ prefers\ pepperoni)=\frac{No.\ of\ students\ who\ prefer\ pepperoni}{Total\ no.\ of\ students\ surveyed}$

$=\frac{39}{216}\\=0.181$

The probability that a student likes supreme:

$P(A\ Student\ prefers\ supreme)=\frac{No.\ of\ students\ who\ prefer\ supreme}{Total\ no.\ of\ students\ surveyed}$

$=\frac{28}{216}\\=0.130$

The probability that a student likes another kind:

$P(A\ Student\ prefers\ another\ kind)=\frac{No.\ of\ students\ who\ prefer\ another\ kind}{Total\ no.\ of\ students\ surveyed}$

$=\frac{31}{216}\\=0.144$

Thus, the probability distribution table is displayed below:

6 0

3 years ago

Can someone help me with this?

tatiyna

Yes because PROPORTIONAL means the lines start on the axis which is the zero and it also has to be in a even line so yes it is proportional

6 0

3 years ago

A metric unit of lenght that is equal to one tenth of a meter is

Lelu [443]

It is decimeter :):):)

4 0

3 years ago

each day alyssa jogs for 25 minutes on a treadmill she jogs 135 meters a minute at the speed at which alyssa is jogging how many

Fittoniya [83]

Answer: she is jogging 2.25 i think

Step-by-step explanation:

im sorry im not sure i just divided 135 by 60 but i dont think its right:(

5 0

3 years ago