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blsea [12.9K]
3 years ago
12

Find the sum of the interior angle measures of the green polygon,

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

Sum\ of\ interior\ angles = (n-2)*180

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

Sum = (7-2)*180 = 5*180 = 900

Hence,

The sum of interior angles of given polygon is 900°

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One type of insect is 0.0052 meters long. What is the lenght in scientific notation
Ket [755]

Answer:

5.2 × 10^{-3}

Step-by-step explanation:

a number in scientific notation is expressed as

a × 10^{n}

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × 10^{-3}


8 0
3 years ago
Someone please help me!
Vlad1618 [11]

Answer:

A. x \leq -16  

B. b > 11

C. c \leq -13

D. x \geq -9

Step-by-step explanation:

<u>Given the following algebraic expression;</u>

A. \frac {3x}{4} \leq 12

We would simplify the equation by multiplying all through by 4;

4 * \frac {-3x}{4} \leq 12 * 4

-3x \leq 48

Divide both sides by -3;

x \leq -16

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. 13c \leq -169

Divide both sides by 13

c \leq -13

D. 3x - 7 \geq 4x + 2

Collecting like terms, we have;

3x - 4x \geq 2 + 7

-x \geq 9

Divide both sides by -1

x \geq -9

8 0
3 years ago
Marcus has 1,525 marbles and divides the marbles into 15 bags to seal each bag. How many marbles are in each bag and how many ma
Dmitry_Shevchenko [17]

Answer:

There are 101 marbles in each bag and 10 marbles left over

Step-by-step explanation:

We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.

1525 % 15 = 10 marbles are left over

Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains

1515 / 15 = 101 marbles

8 0
2 years ago
Find the volume of the sphere .<br> (Geometry)
asambeis [7]

Answer:

V = 32/3 pi

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

We know the radius is 2

V = 4/3 pi (2)^3

V = 4/3 pi (8)

V = 32/3 pi

6 0
3 years ago
Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?
Anna [14]
$42.60. You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60
8 0
3 years ago
Read 2 more answers
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