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3 years ago

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

$180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Rasek [7]3 years ago

6 0

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

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Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 d

miss Akunina [59]

By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent

<h3>What is Angle Sum Property?</h3>

The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.

Using Angle Sum Property, in ΔMRQ

<M + <R + <Q= 180

<M + 42 + 85 = 180

<M = 180 -42

<M= 53°

Now, In ΔMRQ and ΔABC

<A= <R ,

<B = <M

AB = MR

Hence, By ASA criteria ΔMRQ ≅ ΔABC

Learn more about this concept here:

brainly.com/question/3486366

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2 years ago

Isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters.Jasonbconstructed a cone that had the same hei

Korvikt [17]

<span>cylindrical vase
r=radius </span>cylinder=radius cone
h= height cylinder=height cone
Volume cylindrical vase (V1)= 63 cm³=pi*r² *h

cone
Volume cone (V2)=pi*r² *h
if radius cylinder=radius cone and height cylinder=height cone
then V1=V2
therefore
V2= 63 cm³

the answer is The volume of cone is 63 cm³

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3 years ago

I Think it’s D, This is my Final Test is D Right?

ser-zykov [4K]

Answer:

Sorry you wrong, it’s actually A.

Step-by-step explanation:

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3 years ago

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Please Hurry!!

r-ruslan [8.4K]

The answer is B. y = -1/5x +1/2.

EXPLANATION

First solve for the slope:
$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{0 - \frac{3}{5} }{ \frac{1}{2} - \frac{1}{5} } \\ m = - \frac{1}{5}$
After finding the slope, look for the linear equation with the same value of m (parallel equation).

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3 years ago

The dot plots below show the scores for a group of students for two rounds of a quiz: Two dot plots are shown one below the othe

miskamm [114]

Answer:

The inference that can be made using the dot plot is:

The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

<u>Round 1:</u>

Score Frequency

1 0

2 2

3 3

4 2

5 1

Hence, the minimum score of Round 1 is: 2

maximum score is: 5

Hence, Range=Maximum value-Minimum score

=5-2

Similarly, <u>Round-2</u>

Score Frequency

1 0

2 0

3 0

4 4

5 4

Hence, the minimum score of Round 1 is: 4

maximum score is: 5

Hence, Range=Maximum value-Minimum score

=5-4

The scores of round 2 are higher than round-1.

Since round 2 have a higher frequency for higher scores as compared to round-1.

Hence, Range of round 1 is greater than the range of Round-2.

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3 years ago

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