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grigory [225]
3 years ago
15

An interior angle of a regular polygon has a measure of 108. What type of polygon is it?

Mathematics
2 answers:
yarga [219]3 years ago
6 0

Answer:

pentagon

Step-by-step explanation:

Recall that for any regular polygon, the number of sides and the interior angles are related through the following formula.

Interior Angle, θ = 180(n-2) / n  ; where n is the number of sides

Rearranging :

θ = 180(n-2) / n

nθ = 180 (n-2)

nθ = 180n - 2(180)

nθ = 180n - 360

180n - nθ = 360

n(180 - θ) = 360

n = 360 / (180 - θ)  (given that θ = 108°)

n = 360 / (180 - 108)

n = 5

since the polygon has 5 sides, it is a pentagon

sveta [45]3 years ago
4 0

Answer:

pentagon

Step-by-step explanation:

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tankabanditka [31]

Answer:

Step-by-step explanation:

Amount paid for first 100 watches = (65% of 80) *100

                                                        =\frac{65}{100}*80*100\\\\= 65*80\\= 5200

Amount paid for next 50 watches = (55% of 80) * 50

                                                        = \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200

Remaining watches = 280 -(100+ 55)

                                 = 280 - 155 = 125

Amount paid for 125 watches = (45% of 80) *125

                                                  = \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500

Amount received by the watch maker = 5200 + 2200 + 4500

                                                               = £ 11900

3 0
3 years ago
A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals=4949minus−xsquared2. Wha
xxMikexx [17]

Answer:

Dimensions of rectangle : Width = 2x , Length = 49 - x^2

Area of Rectangle = 98x - 2x^3

Step-by-step explanation:

A rectangle constructed with its base on the​ x-axis and two of its vertices on the parabola

Supposing coordinates of upper right vertex of rectangle are P = (x,y)

Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.

Width of rectangle :  2x

Length of rectangle :  y = 49 - x^2

Area of Rectangle = Length x Width

(2x) (49 - x^2)

= 98x - 2x^3

8 0
3 years ago
Set A contains 35 elements and set B contains 22 elements. If there are 40 elements in (A ∪ B) then how many elements are in (A
Leona [35]

Answer:

17

Step-by-step explanation:

The computation of the number of elements are in (A ∩ B) is shown below;

Given that

Set A contains 35 elements

And, set B contains 22 elements

Now if there are 40 elements in (A ∪ B)

So, the number of elements are in (A ∩ B) is

= 35 + 22 - 40

= 17

5 0
3 years ago
Can anyone help me find the value pls?
Flauer [41]

The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.

In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.

We know B = 72, so A = 180-72 = 108

Angle A is divided in 2 by angle y, so y = 108/2 = 54

Answers: x = 72

Y = 54

4 0
3 years ago
Tadashi had a veggie pizza that was cut into 8 equal pieces. He ate 2 pieces and left the other 6 in the box. What fraction of t
Stella [2.4K]

Answer:

1/4

Step-by-step explanation:

2/8= 1/4

8 0
3 years ago
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