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3 years ago

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

2 answers:

4 0

We are asked to solve for the angle of rotational symmetry of a given regular polygon and the formula is degrees of rotation = 360° / number of sides. In this problem, the solution is shown below:
We used n = 5 since pentagon has five number of sides
degrees of rotation = 360° / 5
degrees of rotation = 72°

The answer is the third in the choices 72°.

kow [346]3 years ago

3 0

if i did my math correctly, its 72 degrees

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Katie wants to buy some popcorn for her family at the theater. Each small tub of popcorn costs $3 and each large tub of popcorn

Molodets [167]

For this case we propose a system of equations:

x: Represents the amount of small popcorn tubs

y: Represents the amount of large popcorn tubs

According to the data we have to:

$3x + 4y = 24$ (Spending all the money in your wallet)

$x + y = 7$ (Buying 7 popcorn tubs)

From the second equation we have:

$x = 7-y$

Substituting in the first equation:

$3 (7-y) + 4y = 24\\21-3y + 4y = 24\\21 + y = 24\\y = 24-21\\y = 3$

Thus, Katie can buy 3 large tubs of popcorn.

So:

$x = 7-3\\x = 4$

In addition, you can buy 4 small tubs of popcorn.

Answer:

3 large popcorn tubs.

4 small popcorn tubs.

8 0

3 years ago

Can you guys please do both with the work please and thank you if you actually do it

salantis [7]

Answer:

7. 29 cm

8. equation: 61 = (x) +(2x -7) +(3x +2); sides 11, 15, 35

Step-by-step explanation:

7. Let w represent the width. The length is 3 less than twice the width, so the length is 2w-3. The perimeter is given by the formula ...

P = 2(L+W)

Substituting the known values, we have ...

90 = 2((2w-3) +w)

45 = 3w -3 . . . . . . . . divide by 2

15 = w - 1 . . . . . . . . . .divide by 3

16 = w . . . . . . . . . . . . add 1

L = 2w -3 = 2(16) -3 = 29

The length of the rectangle is 29 cm.

8. The equation that should be used is the one that relates the side lengths to the perimeter.

P = a + b + c . . . . for sides a, b, c

61 = (x) +(2x -7) +(3x +2)

61 = 6x -5 . . . . . . collect terms

66 = 6x . . . . . . . . add 5

11 = x . . . . . . . . . . divide by 6

Then the side lengths are ...

a = x = 11

b = 2x -7 = 2(11) -7 = 15

c = 3x +2 = 3(11) +2 = 35

_____

Comment on problem 8

You will notice that the side lengths do not satisfy the triangle inequality: the sum of the short sides is not greater than the long side. These side lengths cannot form a triangle. Cute algebra, but bad geometry.

4 0

3 years ago

The algebraic expression for 24a+27

Yuki888 [10]

I this helps you out with your problems
Have a nice day

4 0

2 years ago

A line having a slope of 3/4 passes through the point (-8, 4). Write the equation of this line.

liubo4ka [24]

Answer:

4=3/4(-8)+b

Step-by-step explanation:

You have to use the equation Y=mx+b

M is your slope so 3/4

x=-8

Y=4

Then u put it into the equation and get 4=3/4(-8)+b

Hope this helps:)

4 0

3 years ago

Read 2 more answers

X-3y=6 x=3y+4 solve for x and y

Fantom [35]

Answer:

1) x = 6, y = -2 + 1/3x

Step-by-step explanation:

1) x-3y=6

-3y=6-x, 6-x/-3y

y = -2 + 1/3x

x - 3(-2+1/3x) = 6

x - 6 + x = 6

2x =12

x = 6

2) x=3y+4

-3y = -x+4

y = -x/-3 +4/-3

y = 1/3x + -4/3

x = 3(1/3x + -4/3)

I am unsure about x on number two...

7 0

3 years ago