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3 years ago

How big is angle theta? thank you in advance for your help!

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

Answer:

Θ = 124°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n - 5, thus

sum = 180° × 3 = 540°

Sum the given interior angles and equate to 540

2x - 3 + 2x + 7 +3x - 4 + 3x - 4 + 3x - 2 = 540, that is

13x - 6 = 540 ( add 6 to both sides )

13x = 546 ( divide both sides by 13 )

x = 42

Thus

Θ = 3x - 2 = 3(42) - 2 = 126 - 2 = 124°

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Pls answer if it is correct i will give brainlist

katrin2010 [14]

Answer:

1/ x = 22.5°

2/ x = 60°

Step-by-step explanation:

1/ We have: 3x + 2x + 3x = 180°

=> 8x = 180° => x = 22.5°

2/ We have: x + x + x = 3x = 180°

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2 years ago

Read 2 more answers

How many degrees are in the sum of the interior and exterior angles of a polygon having 5 sides?

Dima020 [189]

Sum of the interior and exterior angle =180
If we have 5 sides, then we have 5 angles,
so
sum of exterior and interior angles =180*5= 900⁰.

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3 years ago

[(x^5)]^7]^4<br><br> simplify the expression

lina2011 [118]

$[(x^{5}) ^7]^4 = x^{5*7*4} = x^{140}$

ok done. Thank to me :>

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1 year ago

HELP someone please!!!! i dont understand

ad-work [718]

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

$cos(x) = \frac{19}{45}$

$x = cos^{-}(\frac{19}{45})$

x = 65.0250346°

x = 65.03° (nearest hundredth)

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2 years ago

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Vlad1618 [11]

Answer:

a) 27. b) 8/3

This is your answer ☺️☺️☺️

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2 years ago