Rotational symmetry of 2D shapes
Choose all that apply
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Answer:

1 1/3

Step-by-step explanation:

(x+12)/2 = 4-x

Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x

Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8

Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4

Step 4, divide by 3. x = 1 1/3

Answer:

the number is 20

Step-by-step explanation:

Equation: let x be the missing number

x + 12 ÷ 2 = x - 4

first step: multiply 2 on both sides to get rid of the division

x + 12 ÷ 2 ×  2 = x - 4 × 2

x + 12 = 2x - 8  

second step: add 8 on both sides:

x + 12 + 8 = 2x - 8 + 8

x + 20 = 2x

third step: subtract x on both sides:

x - x + 20 = 2x - x

20 = x

to check: substitute 20 for x

x + 12 ÷ 2 = x - 4

20 + 12 ÷ 2 = 20 - 4

32 ÷ 2 = 16

16 = 16

Answer:

x = 37.5

Step-by-step explanation:

The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees.  That gives us the number 105°

Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).

That gives us:

(180 / 105) / 2

= 75 / 2

= 37.5

Answer:

a.

Step-by-step explanation:

because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.

Answer:

A. 2

Step-by-step explanation:

Circumference of a circle = 2πr

if π = 3.14

and C = 6.28

6.28 = 2(3.14)r

r= 1

d= 2r

d= 2 * 1

d= 2

Answer:

$49.445 or $49.5 if they round

Step-by-step explanation:

Answer:

$948.45

Step-by-step explanation:

■ Sales tax: $49.45

■ Cost/Price before ST: $899.00

■ Total Cost/Price including ST: $948.45

Answer:

Telling Now magazine costs the least per issue.

Step-by-step explanation:

Cost of Roller's Magazine per issue=$18/6=$3

Cost of International Traveler per issue=$32/8=$4

Cost of Telling Now per issue=$25/10=$2.5

Cost of Greatest Adventures per issue=$36/12=$3

The cost of Telling Now magazine per issue is the least one of all.

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]

                                              = 10.77

Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

Answer:

2,2   2,7   5,7

Step-by-step explanation:

Answer:\ b.

Step-by-step explanation:

Hope this helps!!

Answer:

B. 12

Step-by-step explanation:

First, we need the degrees for A. So, cosx = 5/13    =    67.4

Now it will be easy to solve a. tan67.4° = a/5    =   12.011728511....

we round it to the nearest tenth and we get 12.

Step-by-step explanation:

By pythagoras theoram

[tex]c = \sqrt{a2 + b2} [/tex]

Answer:

haach f,f msfmavfb

Step-by-step explanation:

TRY THIS

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]

Hope it will help :)❤

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Answer:

I think that the answer would be C .

hope it was helpful :)

Answer:

C

Step-by-step explanation:

it's rational because 6.24 can be 68/33

sorry if I'm wrong!!

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

Answer:

1:5

Step-by-step explanation:

13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5

Answer =6

Step-by-step explanation:

-2 through positive 3, i'm sorry if this is incorrect!

Answer:

B

Step-by-step explanation:

20x^2 - 12x - 8

4 ( 5x^2 - 3x - 2 )

5 * - 2 = - 10

Factors of - 10

1 , - 10

10, - 1

2, - 5

5, - 2

5x^2 - 5x + 2x - 2

5x (x - 1)  2 (x - 1)

4 (x - 1) (5x + 2)

(4x - 4) (5x + 2)

Answer:

its 48

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

Answer:33.95 m

Step-by-step explanation:

Given

The height of the man is 2 m

Distance between man and tree is 30 m

the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]

from the figure,

[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]

Using Pythagoras we can write

[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]

Thus the distance between the men eyes to the top of the tree is 33.95 m

Answer:

(31.919,42.881)

Step-by-step explanation:

Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.

The confidence interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

For this problem:

The lower bound of the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]

The upper bound of the interval is:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]

The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

A

Step-by-step explanation:

This is a fraction equal to

6 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour

Answer:

6

Step-by-step explanation:

Area of sq:

A = bh

A = (2)(2)

A = 4

Area of triangle:

A = 1/2bh

A = 1/2(2)(2)

A = 2

Combined:

4 + 2 = 6

Answer:

20x

Step-by-step explanation:

4(2x+3)

4(5x)

4x5x

20x

Answer:

Yes, they can only have acute angles (all measure 60°)

Step-by-step explanation:

Answer:

An ordered pair that is a solution to the equation is (2,3).

Step-by-step explanation:

To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.

4x-y=5​

Using y = 3

4x - 3 = 5

4x = 8

x = 8/4 = 2

An ordered pair that is a solution to the equation is (2,3).