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White raven [17]
3 years ago
5

The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

The interior angles are 70°,65°,80°,155° and 170°

Step-by-step explanation:

step 1

Find the sum of the interior angles of the pentagon

The sum is equal to

S=(n-2)*180°

where

n is the number of sides of polygon

n=5 (pentagon)

substitute

S=(5-2)*180°=540°

step 2

Find the value of x

Sum the given angles and equate to 540

x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°

7x+50=540°

7x=490°

x=70°

step 3

Find all the angles

x=70°

(x-5)=(70-5)=65°

(x+10)=(70+10)=80°

(2x+15)=(2*70+15)=155°

(2x+30)=(2*70+30)=170°

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7 0
2 years ago
How to simplify expressions
Volgvan
You gather the like terms together.
if you have -3y +2x +6w -4 + 3y -5x +2w

you put the like terms together
so for the term y:

you have -3y +3y = 0

for x:

2x - 5x = -2x

for w:

6w + 2w = +8w

and you also had -4. if you put them together you get

0 -2x +8w -4
which is

-2x +8w -4

hope this helps
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3 years ago
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Firlakuza [10]

Answer:

18.75=p

s=14.06

b=2.34

Step-by-step explanation:

37.75=b+s+p

-4

33.75=b+s+p

s=3/4p

b=1/6s

33.75=1/6(3/4p)+3/4p+p

33.75=3/20p+3/4p+p

(33.75=18/20p+p)20

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18.75=p

s=3/4p

3/4(18.75)

s=14.06

b=1/6s

1/6(14.06)

b=2.34

37.75-4=18.75+14.06+2.34=35.15

im missing 50 cents somewhere its wrong but close i think sorry

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2 years ago
Whats the variable for -11b+7+=40
solniwko [45]

Answer:

-3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Kale can typed 165 words in 3 minutes. How can this ratio be written to show words per minute?
oee [108]

Answer:

55 words per minute

Step-by-step explanation:

165/3

7 0
3 years ago
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