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VashaNatasha [74]
2 years ago
5

The convex polygon below has 8 sides. Find the value of x ?

Mathematics
1 answer:
bulgar [2K]2 years ago
5 0

The missing interior angle, x, of the convex polygon is 168⁰.

<h3>Sum of interior angles of convex polygon</h3>

The sum of interior angles of a convex polygon is calculated as follows;

S = (n - 2) 180

S = (8 - 2) 180

S = (6) 180

S = 1080

The missing interior angle, x, is calculated as follows;

x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080

x + 912 = 1080

x = 1080 - 912

x = 168⁰

Learn more about interior angles of polygon here: brainly.com/question/24966296

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Solve for x Round to the nearest tenth one place after the decimal !
aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0
3 years ago
Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years
Nonamiya [84]

Here are a few fun facts:

A 19th century horse named 'Old Billy' is said to have lived 62 years.

Horses can sleep both lying down and standing up.

Horses can run shortly after birth.

Horses have around 205 bones in their skeleton.

Horses have been domesticated for over 5000 years.

Horses use their ears, eyes and nostrils to express their mood.

Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.

The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.

The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.

I hope you learned something new!

4 0
2 years ago
F(×)= 5×-10. What is the vaule of f^-1 (-3)
Katena32 [7]
If I’m not mistaken I think this is what you’re asking for?

4 0
2 years ago
Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is close to the number
Masja [62]

Answer:

There are 47.12 liters in 12.4 gallons of gasoline.

Option C is correct option.

Step-by-step explanation:

Total Gasoline bought = 12.4 gallons

We are given:

1 gallons = 3.8 liters

So.=, we need to find how many liters in 12.4 gallons of gasoline

1 gallon = 3.8 liters

12.4 gallon = 3.8*12.4

                  = 47.12 liters

So, there are 47.12 liters in 12.4 gallons of gasoline.

Option C is correct option.

4 0
3 years ago
Match each description of an algebraic expression with the symbolic form of that expression
kicyunya [14]

Answer:

A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x

B. 2 terms; variables = x and y -----------> 4.5y - 2x

C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y

D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3

Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)

7 0
3 years ago
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