evaluate the expression with steps please

The number of sides of the regular polygon is 26

The formula for calculating the exterior angle of a regular polygon is expressed as:

Exterior angle of a polygon = 360 ÷ number of sides.

Given the following:

Exterior angle of a regular polygon = 13.8 degrees

Required

Number of sides

Substitute the given parameters into the formula as shown:

Exterior angle of a polygon = 360/13.8

Exterior angle of a polygon = 26.08

This means that the number of sides of the regular polygon is 26

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Step-by-step explanation:

[tex]\sf\pink{Given}[/tex]

[tex]\sf\pink{To\: Find}[/tex]

Therefore ,

[tex]\longrightarrow\bf{x + 10 + 3x + 5 + 2x + 15 = 180 }[/tex]

[tex]\longrightarrow\bf{x + 3x + 2x + 15 + 5 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{4x + 2x + 20 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{6x + 30 = 180 }[/tex]

[tex]\longrightarrow\bf{6x = 180 - 30 }[/tex]

[tex]\longrightarrow\bf{6x = 150 }[/tex]

[tex]\longrightarrow\bf{x = \dfrac{150}{6}}[/tex]

[tex]\longrightarrow\bf\pink{x = 25}[/tex]

Therefore value of x is 25 .

Now, finding the the measure of each angle by putting the value of "x" in their places.

∠A = (x + 10)° => (25 + 10)° => 35°

∠B = (3x + 5)° => (3×25 + 10)° => (75 + 5)° => 80°

∠C = (2x + 15)° => (2 × 25 + 10)° => (50 + 15)° => 65°

Answer:

easy

Step-by-step explanation:oklook

Answer:

Millie is 11. Molly is 8.

Step-by-step explanation:

Step 1: Subtract 3 from 19. The reason why you do this is to make sure that you don't have an extra 3 lying in there for the next few steps.

19-3=16

Step 2: Divide 2 from 16. You do this because there are two sisters.

16÷2=8

8 will then become Molly's age

Step 3: Add 3 to 8. This will give you Millie's age because she is 3 years older than Molly.

3+8=11

In conclusion, Millie is 11 and Molly is 8.

Answer:

-21

Step-by-step explanation:

(m*n)/p + ( -n )

4(9)/-3 + (-9) = (36/-3) - 9

-12 - 9 = -21

Answer:

B and C

Step-by-step explanation:

As the graph shows the distance she traveled between B and C stay the same also know as the equal part of her ride.

Answer:

M (- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 8, - 4 ) , then

midpoint = ( [tex]\frac{-2-8}{2}[/tex] , [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

Answer:   its 150 i did the test

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

I TOOK THE TEST AND IT WAS CORRECT IM FROM K12 BTW :D pls give me brainliest!

Answer:

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Step-by-step explanation:

I search them on goggle..and that's the answer...

Answer:

12 and 30

Step-by-step explanation:

HFC:

6

12

18

24

30

LCM:

30

60

-------

12

24

36

48

60

Answer:

= [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:kqhnnvp

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Step-by-step explanation:

Answer:

From the shape of the graph we can state it is the transformation of the square root function:

This is a reflection of f(x) over x-axis, translation 3 units left and 2 units up.

The transformation is:

The equation is:

Its translated square root function

Rotate along x axis

shift 3 units left

shift 2 units up

Step-by-step explanation:

it would be 7/10 and the steps are

step one identify the place value of the digits

step two use that determine what denominator of the fraction would be

step three remove the decimals point re write in the fraction

step four Express in terms of the lowest equivalent fraction

hope this helps

Answer:

Step-by-step explanation:

Length and width of rectangular rose garden is 15 and 5 feet

Given that;

Perimeter of rectangular rose garden = 40 feet

Length of the garden = 5 more  than twice the width

Find:

Dimensions of the rose garden

Computation:

Assume;

Width of garden = a

So,

Length of the garden = 2a + 5

Perimeter of rectangle = 2[l + b]

40 = 2[2a + 5 + a]

40 = 2[3a + 5]

40 = 6a + 10

6a = 40 - 10

6a = 30

a = 5

Width of garden = 5 feet

Length of the garden = 2a + 5

Length of the garden = 2(5) + 5

Length of the garden = 15 feet

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Answer:

8

Step-by-step explanation:

or 8.24

Answer:

y = -1/2x + 5

Step-by-step explanation:

x + 2y = 10

Step 1: subtract x from both sides.

you will get:    2y = -x + 10

Step 2: get the y by itself, you can do this by dividing 2 by both sides.

=  2y = -x + 10

     y = -1/2x +10/2

Then, 10/2 simplifies to 5.

So, your answer is: y = -1/2x + 5

En total, Juan gastó $205.25. 1 kilo de queso cuesta $90. 1/2 kilo de jamón cuesta $60. Si comprara un kilo de tortilla, un kilo de pepino y un kilo de jamón, Juan gastaría $129. Si Juan tiene $430, puede comprar 3 kilos de jamón, 1 kilo de queso, 5 kilos de pepino y 1 2/3 de tortillas.

Dado que Juan compró 1/4 de pepino que cuesta $3, 1 1/2 de jamón que cuesta $120, 1/3 de tortillas que cuesta $6 y 4/8 de queso que cuesta $45, para determinar cuánto dinero gastó en total, cuánto cuesta un kilo de queso, cuánto cuesta medio kilo de jamón, cuánto gastaría si comprara un kilo de tortilla, un kilo de pepino, y un kilo de jamón y, si Juan tiene $430, qué puede comprar sin que le sobre ni un peso, se deben realizar los siguientes cálculos:

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Answer:

yes

Step-by-step explanation:

every person would get 3 and be 1 left.

Answer:

Yes

Step-by-step explanation:

If you gave each friend 2 cookies, then you gave away 8 and would have 5 left over.

Answer:

$864.63

Step-by-step explanation:

I hoped this helped:)

Answer:

Step-by-step explanation:

Let N = abc

9514 1404 393

Answer:

  (x, y, z) = (x, x+2, 3x+1)

Step-by-step explanation:

We can add twice the second equation to the first to get ...

  [eq4] -3x +0y +z = 1

Adding the first and second equations gives ...

  [eq5] -x +y +0z = 2

Solving [eq4] for z gives ...

  z = 3x +1

Solving [eq5] for y gives ...

  y = x +2

Then the solution triple is (x, y, z) = (x, x+2, 3x+1).