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2 years ago

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

Mathematics

2 answers:

iren2701 [21]2 years ago

7 0

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.

Luda [366]2 years ago

5 0

Answer:

Step-by-step explanation:

took the test and 72 was correct

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Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

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Step-by-step explanation:

Part 1)

Let

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y ----> vertical jump in inches

step 1

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we have the points

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The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

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substitute

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convert to function notation

f(x)=y

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Find the slope

we have the points

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step 1

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we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

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$m=-\frac{1}{4}$

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Convert to standard form

Multiply by 4 both sides to remove the fraction

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we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

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