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k0ka [10]
3 years ago
6

How many degrees are in each interior angle of a regular pentagon? 50 72 108 120

Mathematics
2 answers:
Sindrei [870]3 years ago
6 0

The answer 108 degrees.

snow_tiger [21]3 years ago
5 0

Answer: 108^{\circ}

Step-by-step explanation:

The sum of all the angles in a regular polygon with sides n , is given by :-

S_n=180^{\circ}(n-2)

Now, the sum of all the angles in a regular pentagon with 5 sides will be :-

S_5=180^{\circ}(5-2)=180^{\circ}(3)=540^{\circ}

We know that all the interior angles of a regular polygon are equal .

Therefore, the measure of each interior angle in a pentagon is given by :-

x=\dfrac{540^{\circ}}{5}=108^{\circ}

Hence, the measure of each interior angle in a pentagon=108^{\circ}

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Pls help if your kind <3 (picture)
AlladinOne [14]

Answer:

1: x=23.313708 2: B x = -13.2 3: x = 152

All the problems examples at the bottom

Step-by-step explanation:

1: 12x=−3(4−x)

12x=3x−12

Step 1: Divide both sides by 12.

12x12=3x−1212

x=14x−1

Step 2: Solve Square Root.

x=14x−1

x=(14x−1)2(Square both sides)

x=116x2+−12x+1

x−(116x2+−12x+1)=116x2+−12x+1−(116x2+−12x+1)(Subtract 1/16x^2+(-1)/2x+1 from both sides)

−116x2+32x−1=0

x=−b±b2−4ac2a(Use quadratic formula with a=-0.0625, b=1.5, c=-1)

x=−(1.5)±(1.5)2−4(−0.0625)(−1)2(−0.0625)

x=−1.5±2−0.125

x=0.6862915010152388,23.31370849898476

2: 3+2.7x=9.6+3.2x

Step 1: Simplify both sides of the equation.

2.7x+3=3.2x+9.6

Step 2: Subtract 3.2x from both sides.

2.7x+3−3.2x=3.2x+9.6−3.2x

−0.5x+3=9.6

Step 3: Subtract 3 from both sides.

−0.5x+3−3=9.6−3

−0.5x=6.6

Step 4: Divide both sides by -0.5.

−0.5x−0.5=6.6−0.5

x=−13.2

3: 9+34x=78x−10

Step 1: Simplify both sides of the equation.

9+34x=78x−10

9+34x=78x+−10

34x+9=78x−10

Step 2: Subtract 7/8x from both sides.

34x+9−78x=78x−10−78x

−18x+9=−10

Step 3: Subtract 9 from both sides.

−18x+9−9=−10−9

−18x=−19

Step 4: Multiply both sides by 8/(-1).

(8−1)*(−18x)=(8−1)*(−19)

x=152

I really hope this helped you

4 0
3 years ago
Micaela spent $32 on writing utensils pens cost four dollars and pencils cost two dollars if she bought a total of 10 and how ma
Nimfa-mama [501]

Answer:

6 pens and 4 pencils

Step-by-step explanation:

6 x 4 = 24

4 x 2 = 8

24 + 8 = 32

7 0
3 years ago
I'm sorry but what!? Can someone help?
tatiyna

Step-by-step explanation:

Axis of symmetry for quadratic ax² + bx² + c:

x = -b/2a.

Therefore for y = x² - 4x + 2,

-b/2a = -(-4)/2(1) = 2

The axis of symmetry is x = 2.

7 0
3 years ago
Read 2 more answers
There were 462 people sitting in the audience. Round the number of people to the nearest hundred.
Pavel [41]
500
Sorry if its wrong
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3 years ago
Need help its a 3rd grader work of my niece
Katena32 [7]
The answer would be 12 just adding 3
3 0
3 years ago
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