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igor_vitrenko [27]
3 years ago
13

Find the sum of the angle measures in the figure below​

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:

540°

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, hence

sum = 180° × 3 = 540°

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Use the Distributive Property to multiply. 2(b – 7)
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Answer:

2b - 14

Step-by-step explanation:

2(b – 7)

2b - 14

8 0
2 years ago
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E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
2 years ago
NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.
sergeinik [125]

Answer:

140

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

3a+b+3=2a+2b+6

Solving, we will get a in terms of b:

3a=2a+b+3,\\a=b+3

Now we can substitute a for (b+3) into our equation:

5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}

Therefore, the length of each side of this polygon is 5(4+3)-2(4)+1=28.

Since the perimeter of the polygon consists of all five sides, the perimeter is:

p=28\cdot 5 =\boxed{140}

6 0
3 years ago
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Diana sold $150.00 worth of products and earns a commission of 3.5%. How much did she earn in commission?
ioda

Answer:

$5.25

Step-by-step explanation:

Take $150.00 times 3.5% to get $5.25

150(.035) = 5.25

4 0
2 years ago
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The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in mill
azamat

Answer:

\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20}  = 2.26

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

\frac{f(b)-f(a)}{b-a}

6 0
3 years ago
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