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The magnitude of rotational symmetry of the regular octagon below the marked point is 45°, so option A is correct.

Eight sides, eight internal angles, and eight vertices are the characteristics of an octagon. An octagon is referred to as being regular if all of its sides and angles have the same measurements.

Given:

From the figure, the lengths of the side of the octagon are equal,

So the angle will also be equal,

And we know that octagon has 8 interior angles and their sum is 360 degrees.

Now for measure of one angle = 360° / 8 = 45°,

Therefore, the magnitude of rotational symmetry of the regular octagon below the marked point is 45°.

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Answer:

B.

Step-by-step explanation:

4x + 4x - 4x = 4x

24x ÷ 2 = 12x

3x • 4x = [tex]12x^2[/tex]

15x - 3 = 15x - 3

Answer:

B. 24x/2

Step-by-step explanation:

12x

A. 4x + 4x - 4x = 8x - 4x = 4x

B. 24x/2  = 24/2 x = 12x

C. (3x)(4x) = 12 x^2

D. 15x - 3​ = 15x -3  ( no like terms

Answer:

B. X= 5 + 3i

5 + 3i

Step-by-step explanation:

We are given the quadratic equation

x² - 10x = -34

x² - 10x + 34 = 0

Using Almighty formula

x = -b ± √b² - 4ac/2a

When given equation: ax² + bx + c

Where: a = 1, b = -10 , c = 34

x = -10 ± √-10² - 4 × 1 × 34/2 × 1

x = 10 ± √100 - 136/2

x = 10 ± √-36 /2

x = 10/2 ±. √-36/2

x = 5 ± 6i /2

x = 5 ± 3i

Hence: the roots of the equation are:

x = 5 - 3i , x = 5 + 3i

Answer:

x=8

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh  where b is the base and h is the height

16 = 1/2 (4) x

16 =2x

Divide each side by 2

16/2 = 2x/2

8 =x

The height is 8 units

Answer: [tex]371.8\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]

Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]

Volume of granite countertop

[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]

We know, 1 ft=12 inch

[tex]\therefore V=2.187\ cm^3[/tex]

Weight of granite

[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]

Answer:

Hi‍♀️

Step-by-step explanation:

ΔMAN≅ΔNED

ΔRED≅ΔRGD

ΔLAN≅ΔLEI

ΔRKI≅ΔIYC

Hope it helps you!

Answer:

355

Step-by-step explanation:

$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30

Try this option:

a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87

Answer:

Step-by-step explanation:la neta ni idea ‍♀️

Answer:

12/24 to the lowest term is 1/2

Step-by-step explanation:

12 is half of 24, 1 is half of 2

Answer:

It's lowest term is 1/2.

Answer:

c

Step-by-step explanation:

ans is c we can clearly see there in this triangle c only describes it

Answer:

The ? represents the number 38 because the average rate of change on every interval of the function is 3

Step-by-step explanation:

Firstly, we calculate the average rate of change over a function can be calculated using the formula below;

f(b) -f(a)/(b-a)

Now, over the interval [-2,2]

we have;

(17-5)/(2/(-2)) = 12/4 = 3

This is expected to be the blanket average rate of change

Thus, we have it that over the interval [5,9]; we have;

3 = f(b) - 26/9-5

3 = f(b) - 26/4

4(3) = f(b) - 26

12 = f(b) - 26

f(b) = 12 + 26

f(b) = 38

Answer:

ED = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values

[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )

18 ED = 108 ( divide both sides by 18 )

ED = 6

Answer:

The answer is B

Step-by-step explanation:

the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer

Answer:

3 < x < 11

Step-by-step explanation:

triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side

if 'x' is the third side then:

x + 4 > 7

7 + 4 > x

therefore,  'x' must be greater than 3 and less than 11

The value of the third side should be < 11 so, it cannot be 11, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The two sides of a triangle are  4 and 7

According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.

The sum of the sides is 4+7 = 11

Let the third side be x

then,

x < 11

The x cannot be 11.

The missing options are

A. 4

B. 7

C. 11

D. 5

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Answer:

Because 1/9 is a fraction with integers meaning it is a fraction with whole numbers.

Step-by-step explanation:

Any number that can be written as a fraction with integers is called a rational number. For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

Hope this helps

Answer:

66.5cm²

Step-by-step explanation:

Area of trapezium = [tex]\frac{1}{2}[/tex] (sum of parallel sides) × height

Let parallel side 1 = 12cm

parallel side 2 = 7cm

height = 7cm

Area = [tex]\frac{12 + 7}{2}[/tex] × 7 = 66.5cm²

Answer:

7/10

Step-by-step explanation:

Out of the ten spins seven landed on blue.

I hope this helps :)

Answer:

The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].

Step-by-step explanation:

In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].

Answer:

2556

Step-by-step explanation:

Answer:1.0709

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

To be very accurate 1.1

Answer:

Point Form:

(2,−8)

Equation Form:

x=2 , y=−8

Step-by-step explanation:

Answer:

x=2

y=-8

Step-by-step explanation:

you could calculate it by rearranging and manipulating the equations, but this time I graphed it with desmos as two lines with an intersection

Answer:

The last two

Step-by-step explanation:

Scientific notation:

a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8

Answer:

Number of books she has not read =8

Step-by-step explanation:

Number of books Tara has=160

Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152

Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8

Answer:

Surface area of the figure = 1672 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area of the figure = surface area of the prism + surface area of the 3 cubes

The surface area of the rectangular prism = sum of the area of its individual sides

                                             = 2(26 x 10) + 2(10 x 10) + 2(26 x 10)

                                             = 520 + 200 + 520

The surface area of the rectangular prism = 1240 [tex]cm^{2}[/tex]

Surface area of one of the cubes = 5(6 x 6)

                                                      = 180 [tex]cm^{2}[/tex]

The surface area of the 3 cubes = 3 x 180

                                                     = 540 [tex]cm^{2}[/tex]

Thus, the surfaces of the cubes on the prism covers a total area of 108 [tex]cm^{2}[/tex].

So that;

The surface area of the figure = (1240 - 108) + 540

                                               = 1132 + 540

                                                = 1672 [tex]cm^{2}[/tex]

Answer:

1048.05 square feet.

Step-by-step explanation:

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each

Answer:

At least 12

Step-by-step explanation:

I created 12 different number patterns greater than 540. I hope I was able to help you out :)

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

For all right triangles, the Pythagorean Theorem states:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the right triangle.

Therefore, we have (starting from the blanks):

[tex]x^2+576=676,\\x^2+576-676=676-676,\\x^2=100,\\x=\boxed{10}[/tex]