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2 years ago

Which statements are true regarding the regular dodecagon? Check all that apply.

2 answers:

6 0

A dodecagon has 12 sides. That means that the smallest angle of rotational symmetry is 360/12 or 30°. All of its angles of rotational symmetry will be multiples of 30, including 180°. 135°, since it is not a multiple of 30°, is not a rotational angle for this figure. The order of °rotational symmetry is 12, as there are 12 sides you can turn this figure to (since it is regular).

Mumz [18]2 years ago

5 0

Which statements are true regarding the regular dodecagon? Check all that apply.

1) The smallest angle of rotational symmetry for the dodecagon is 30°.

2) The dodecagon has a rotational symmetry of 180°.

5) The angles of rotational symmetry for the dodecagon are multiples of 30°.

You might be interested in

Let m represent the number of children playing soccer. Those children are separated into 4 equal teams. Write an expression for

gladu [14]

children playing soccer, m

number of teams = 4

number if kids per team, f(m) = m/4

6 0

1 year ago

The ratio of the number of beads Karen had to the number of beads Patricia had was 2:5 .After Patricia bought another 75 beads,t

blondinia [14]

K:P=2:5
P+75 it is 4:15
at first, P=5 units
so we have
2:5 and 4:15
since the K units didn't change we conver them to the same
2:5 times 2:2=4:10
so from 4:10 to 4:15 is a change of 75 in the right side
therefor 75=5 units so 75/5=15/1= 1 unit
so at first K=4 units=4 times 1 unit=4 times 15=60
P=10 units so 10 times 15=150

at first
Karen=60
Patricia=150

7 0

1 year ago

What is the y-intercept of line MN?<br><br> What is the equation of MN written in standard form?

bagirrra123 [75]

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{5-0}{-3-2}$

= -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

8 0

1 year ago

Read 2 more answers

Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla

horsena [70]

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1 hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

7 0

2 years ago

Given EP = FP and GQ = FQ, what is the perimeter of ΔEFG?

eduard

x is $\frac{2y + 1}{2y - 3}$

<u>Explanation:</u>

Given:

EP = FP

GQ = FQ

Since the sides are equal, the ΔFPQ and ΔFEG are similar.

According to the property of similarity:

$\frac{FP}{PE} =\frac{FQ}{QG}$

On substituting the value:

$\frac{2x}{4y+2} = \frac{3x-1}{4y + 4} \\\\2x ( 4y + 4) = (3x-1)(4y+2)\\\\8xy + 8x = 12xy + 6x - 4y - 2\\\\4xy - 6x - 4y - 2 = 0\\\\2xy - 3x - 2y - 1 = 0\\\\2xy - 3x = 2y + 1\\\\x(2y - 3) = 2y +1\\\\x = \frac{2y+1}{2y-3}$

Perimeter will be sum of all the sides. If y is known then substitute the value and then find the perimeter.

5 0

1 year ago