Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a triangle, quadrilateral, pentagon. Extend each side, then measure the exterior angles from there. Finally, find the sum of measures of all exterior angles of each polygon.]

Answer:

41° and 139°

45° and 145°

Step-by-step explanation:

Supplementary angles refers to two angles which measures up to 180°.

Therefore, it is safe to say that, angle in supplementary angles = 180°

23° and 147°

= 23° + 147°

= 170°

Not supplementary

41° and 139°

= 41° + 139°

= 180°

Supplementary angle

30° and 60°

= 30° + 60°

= 90°

Not supplementary angle

45° and 145°

= 45° + 145°

= 180°

Supplementary angle

Answer:

english plz

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

4.5p + 8.2n when p=6 and n=5

Subsitute for p and n

4.5(6) + 8.2(5)

Multiply

27 + 41

add

68

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

Answer:

The answer is "Option A"

Step-by-step explanation:

Using the range difference to calculate the maximum and minimum value.

The range of the chinstrap penguins are:  

[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]

The range of the Gentoo penguins are:

 [tex]R(g) = Max(g) - Min(g) = 15.4[/tex]

For point A:

[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]

equate both of them

[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]

It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).

Therefore, the Max is picked for g for all penguins and the minimum is picked for c.    

Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]

Therefore, it will be determined as the option.

For point B:

In estimating the range the median height cannot help.

For point C:

In order to calculate the variety, the connection between both the mean height cannot be sued.

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

Answer:

The function is correct, I just don't see a question.

Step-by-step explanation:    6   21   6  10

C(n) = 12n + 65

I will make up a question.  How much will it cost 4 people each to rent the cabin?

C(n) = (12n + 65) / n         n = 4

      =  (12 × 4 + 65) / 4

      =  (48 + 65) / 4

      =     113 / 4

      =     $28.25

If your question is differnt just substitute the number of people into the question and solve for C(n)

Answer:

no

Step-by-step explanation:

refer to picture for solution

Answer:

12 small snowflakes

Step-by-step explanation:

if she only has 60 minutes to make them and each small snowflake takes 5 minutes, then we solve with the equation:

n = 60/5

*edit: i forgot how to write an equality lol, that isn't the answer

Answer:

12 small snowflakes

Step-by-step explanation:

Because the math equals out to that

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

Answer:

I think it is 90%

Step-by-step explanation:

this is the case because 54/60 will be 9/10 if reduced

Given : Area of the parallelogram is 220 square yard

We know that :

⊕  Area of a parallelogram is given by : Base x Height

⇒  Base x Height = 220

Given : Height of the parallelogram = 11 yards

⇒  Base x 11 = 220

⇒  Base = 20 yards

⇒  Missing Length = 20 yards

[tex]\longrightarrow{\green{π=3.14}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]

Final Answer: 3.14

Step By Step Explanation:

Alternate Forms:

Answer:

5596 liters  of oil still need to be transferred.

Step-by-step explanation:

Total oil = 78452 liters

oil transferred each day for 4 days = 18214 liters

The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters

The mount of oil left in ware house A

= 78452 - 72856

= 5596 liters  

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]

Answer:

Step-by-step explanation:

126/360 × pi× radius²= Area of the sector

Answer:

5.2 =x

Step-by-step explanation:

We know the opposite side and the hypotenuse

sin theta = opp/ hypotenuse

sin 48 = x/7

7 sin 48 =x

5.202013778 =x

Rounding to 1 decimal place

5.2 =x

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

C1

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

Answer:

Step-by-step explanation:

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

Answer:

B) 4 inches

Step-by-step explanation:

Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.

BC = 4 in

FG = 4 in

Answer:

2 11/15

Step-by-step explanation:

Answer:

41/15

Step-by-step explanation:

[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]

first convert mixed fraction into or improper fractions.

=4*10+1/10 ÷ 1*2+1/2

=41/10 ÷ 3/2

convert division sign to multiplication and do the reciprocal.

=41/10 * 2/3

=41*2/10*3

=82/30

=41/15

Answer:

A

Step-by-step explanation:

2x + x = 3x

y - 3y = 2y

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

Answer:

Hello! answer: 96

Step-by-step explanation:

I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...

6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V =

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V =

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

1 cubic foot () is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

Answer:

approximately 32,900 gallons

Step-by-step explanation:

volume water in tank

v = πr²h * .70

v = π * 10² * 20 * .70

v = 4,398.2297150257 ft³

1 ft³ = 7.48 gallons

gallons in tank

4,398.2297150257 * 7.48 = 32,898.7582683922

~ 32,900 gallons

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

Answer:

X>3 which is B

Step-by-step explanation:

Answer:

D. x > 3

Step-by-step explanation:

We have:

16x + 8 > 12x + 20

We have to make x be alone on one side.

So first, we subtract both sides by 8:

16x > 12x + 12

Subtract 12x from both sides:

4x > 12

Divide both sides by 4:

x > 3

Answer:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y = 2-x

Step-by-step explanation:

Answer:

$168

Step-by-step explanation:

yearly interest = principal x time x interest rate

interest when interest rate is 12% = 8400 x 0.12 = 1008

interest when interest rate is 10% = 8400 x 0.1 = 840

decrease in interest rate = 1008 - 840 = 168