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Serhud [2]
2 years ago
9

In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180​

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

<h3>How to find the sum of angles of a polygon?</h3>

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

Read more about Angles in a Polygon at; brainly.com/question/1592456

#SPJ1

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Hannah can paint a room in 20 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Dest
KonstantinChe [14]
Hello!

I believe the answer is they can, together, paint the room in 8.9hrs.

Hope this helps! ☺♥
6 0
3 years ago
Write a function to represent each problem situation Carmen deposits $1000into simple interest account.The rate for the account
kolezko [41]

The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t

<h3><u>Solution:</u></h3>

Given that,

Carmen deposits $1000 into simple interest account

The rate for the account is 4%

To find: function the represent the balance in the account as a function of time t

Given is simple interest account

The formula for simple interest is given as:

S.I = \frac{ prt}{100}

Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years

In simple interest,

total amount after "t" years = principal + simple interest

Here in this question, Carmen deposits $1000

p_0 = 1000

r = 4 \% = \frac{4}{100} = 0.04

Thus we can frame a function as:

total amount after "t" years = principal + simple interest

p(t) = p_0 + (p_0 \times r \times t )

p(t) = 1000 + (1000 \times 0.04)t\\\\p(t) = 1000 + 40t

Where, p(t) is the amount after "t" years and p_0 is the principal sum

Thus the function is obtained

7 0
4 years ago
Bonus: Find the value of x.
Mars2501 [29]

Answer:

12 (i think)

Step-by-step explanation:

so you see the problem the first problem is 3x-9. and you see 27

then you multiply 12 by 3 and you get 36 then you minus 36 by 9 and you get 27

6 0
4 years ago
How do you change 24 2\5 into decimal?
seropon [69]
24 and 2/5=24+2/5
24=24

0.1=1/10
2/5=x/10
times both sides by 10
20/5=x
4=x
2/5=4/10=0.4


24 and 2/5=24+0.4=24.4
5 0
3 years ago
Read 2 more answers
24 inches is 250% of what length
Alinara [238K]
The answer is:  " 9.6 inches " .
________________________________________________________
Explanation:
________________________________________________________

24 = 250/100 * x  ;

24 = 2.5 x ; 

↔  2.5 x = 24 ; 

2.5 x / 2.5 = 24/ 2.5 ; 

x = 9.6 ; 

The answer is:  " 9.6 inches <span>" .
</span>_________________________________________________________

4 0
3 years ago
Read 2 more answers
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