Please help me please

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°

iren2701 [21]

Answer:

Option (3). 72°

Step-by-step explanation:

Angle of rotational symmetry = Central angle of a polygon

That means when we rotate the regular polygon by a central angle, polygon overlaps itself.

Central angle of a polygon with n sides = $\frac{360}{n}$

Where n = number of sides of the polygon

Therefore, central angle of a polygon with 15 sides = $\frac{360}{15}$

= 24°

Central angle tells us that after every 24° of rotation, polygon overlaps itself.

Angle of rotational symmetry may be 48°, 72°, 96°.....

Therefore, Option (3) is the possible angle of rotational symmetry.

7 0

2 years ago

Read 2 more answers

The temperature of the day is 5 degrees above zero and the low temperature is 3 degress below zero. What is the difference betwe

Andrews [41]

8
Highest=5
Lowest=-3
5-(-3)
5+3
8

8 0

2 years ago

The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function

Debora [2.8K]

The correct answer is B)

I hope this helps.

Have a "AWESOME" day! :)

8 0

3 years ago

Read 2 more answers

Y = -3x - 2 and 5x + 2y = 15

denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Substitute in y: 5x + 2(-3x - 2) = 15
Distribute 2: 5x - 6x - 4 = 15
Combine like terms: -x - 4 = 15
Isolate x term: -x = 19
Isolate x: x = -19

Step 3: Solve for y

Define original equation: y = -3x - 2
Substitute in x: y = -3(-19) - 2
Multiply: y = 57 - 2
Subtract: y = 55

8 0

2 years ago

8wsquared2 <img src="https://tex.z-dn.net/?f=8w%20%7B2%20%7D%5E%7B2%7D%20%20-%2018w" id="TexFormula1" title="8w {2 }^{2} - 1

balandron [24]

${\text{Here, we have the algebraic expression}} \hfill \\ 8w \times {2^2} - 18w \hfill \\ {\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\ {\text{and then the resultant will be multiply with the monomial }}18w \hfill \\ 8w \times {2^2} - 18w \hfill \\ = 8 \times w \times {2^2} - 18w \hfill \\= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\ = \left( {8 \times 4} \right) \times w - 18w \hfill \\ = 32 \times w - 18w \hfill \\= 32w - 18w \hfill \\= 14w \hfill \\$

4 0

3 years ago

Please help me please​

Please help me please