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4 years ago

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

Mathematics

2 answers:

yarga [219]4 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]4 years ago

4 0

Answer:

pentagon

Step-by-step explanation:

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Gables property Corp is leasing office buildings with an area of 49x^2 + 70x +25

Hoochie [10]

Answer:

Given: Gables property Corp is leasing office buildings with an area of $49x^2 + 70x+25$

⇒ Area = $49x^2 + 70x+25$

we can write this as:

Area = $(7x)^2+2\cdot (7x) \cdot (5) + (5)^2$ .....[1]

Use the identity formula:

$(a+b)^2 = a^2+2ab +b^2$

then, by using this formula in [1] we have;

Area = $(7x+5)^2$

Area = $(7x+5)(7x+5)$ square units

Area of building = $l \times w$ where l is the length and w is the width respectively;

⇒ $l = w = 7x+5$ units

Therefore, the possible length and width of the building is;

l = 7x+5 units

w = 7x+5 units

As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.

Therefore, the possible shape of the building is Square.

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3 years ago

Please, Please help ASAP

BlackZzzverrR [31]

Answer:

5 is the answer

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2 years ago

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please explain the steps that are used to solve this??? Given:2(10 -13x)+9=-34x+60 Step 1:20-26x=-34x+60 Step 2:-26x=-34x+40 Ste

solmaris [256]

You left out the 9 in the whole equation. The 1st step you had right you just forgot to put +9. 2nd step you are combining the like terms and get 11-26x=-34x+40. Step 3: you are trying to isolate the x on one of the sides. You need to switch the 11 over to the 40 and get 29. Move -34x over to -26x and get 8x. Step 4 all you are doing in dividing 8 from both sides and get 5.

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3 years ago

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Musya8 [376]

Answer:83 -->17-->103-->43-->7-->1

Have a good day

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3 years ago

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Vladimir [108]

Answer:

Step-by-step explanation: