a) What is a semi-regular tessellation? How many semi-regular tessellations are possible? Why aren’t there infinitely many semi-regular tessellations? (5 points)

Answers

Answer 1

Answer: Semi-regular tessellations are made of more than one kind of regular polygon. There are only 8 semi-regular tessellations.

Answer 2

A semi-regular tessellation is a tiling of the plane using regular polygons where the arrangement at each vertex is the same but the types of polygons may vary.

There are 8 known semi-regular tessellations.

There is a finite number of possibilities due to the constraints on the arrangements of polygons.

We have,

A semi-regular tessellation, also known as a uniform tessellation or Archimedean tessellation, is a type of tessellation or tiling of the plane where regular polygons are used to fill the space.

In a semi-regular tessellation, the arrangement of polygons at each vertex is the same, but the types of polygons may vary.

To create a semi-regular tessellation, two conditions must be met:

- Each vertex (or corner) of the tessellation must have the same arrangement of polygons around it.

- The sequence of polygons around each vertex must be the same, although the actual polygons may differ.

There are exactly 8 known semi-regular tessellations, which are formed using regular polygons.

These tessellations include combinations of triangles, squares, hexagons, and dodecagons (12-sided polygons). Some examples of semi-regular tessellations include the honeycomb pattern and the tiling known as "Truchet tiles."

As for the question of why there aren't infinitely many semi-regular tessellations, it is because the arrangement and combination of regular polygons at each vertex are constrained.

The conditions for a semi-regular tessellation limit the possibilities for the types and arrangements of polygons. While there are many ways to arrange polygons around a vertex, the number of distinct arrangements is finite.

Thus,

A semi-regular tessellation is a tiling of the plane using regular polygons where the arrangement at each vertex is the same but the types of polygons may vary.

There are 8 known semi-regular tessellations, and there is a finite number of possibilities due to the constraints on the arrangements of polygons.

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Related Questions

find hcf using division algorithm 867and 255

Answers

Answer :

By using EDL

a=bq+r

where a is > b

so a =867 and b=255

867=255×3+102

here r≠0 so a=255 and b=102

255=102×2+51

here r≠0 so a=102 and b=51

102=51×2+0

here r=0

so, Hcf of (867,255) is =51

Step-by-step explanation:

Hope it works out!!

Answer:

[tex]51[/tex]

Step-by-step explanation:

[tex]a=bq+r[/tex]

Where [tex]a > b[/tex]

[tex]867=255 \times 3+102[/tex]

[tex]255=102 \times 2+51[/tex]

[tex]102=51 \times 2+0[/tex]

Hcf of 867,255 is 51

helphelphelphelphelp please please please ill give you brainly :)

Answers

365, 700, 76.5 is the answer

Answer:

[tex]a)365 \\ b)700 \\ c)76.5[/tex]

Step-by-step explanation:

[tex]a)360 + 5 \\ = 365[/tex]

Because each dash represent 10 and it's represent 5 in between of two dashes.

[tex]b)700[/tex]

Because each dash represent 100

[tex]c)76.5[/tex]

Because each dash represent 0.5

Can u guys PLEASE answer this question ASAP. find the gradient and the y intercept of y=-2x and graph it

Answers

Answer:

Gradient = m = -2

Y-intercept = b = 0

Step-by-step explanation:

Compare the given equation with slope-intercept form of equation.

y = mx + b

y = -2x + 0

So، m = -2 and b = 0

Best Regards!

The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour. Phillip’s Driving Time and Distance Miles Hours 195 3 260 4 325 5 How many miles did he travel each hour? 39 miles per hour 52 miles per hour 65 miles per hour 81 miles per hour

Answers

Answer:

65 mph

Step-by-step explanation:

divide

ex: 195 ÷ 3 = 65mph

260 ÷ 4 = 65mph

Answer:

c

Step-by-step explanation:

Please help me thanks you

Answers

Graph D because the sign means (equal to or less than) making it a closed line instead of a dotted line

In the figure below, find the values of the angles given in the first column

Answers

Answer:

Angle 1 = 110 degrees

Angle 2 = 70 degrees

Angle 3 = 100 degrees

Angle 4 = 80 degrees

Step-by-step explanation:

We will first of all search for the pieces of information given in the question that can help us to solve the problem.

From the diagram, we can see that angle 3 and angle 4 are already given as

Angle 3 = 100 degrees

Angle 4 = 80 degrees

The value of angle 1 has already been supplied as 110 degrees. This leaves us with angle 2 to find.

Recall that the angles in a straight line all sum up to 180 degrees. angle 1 and 2 are on the same straight line, hence angle 2 can be found by solving 180 - 110 = 70 degrees

Angle 2 = 70 degrees

the graph shown here is the graph of which of the following rational functions?

Answers

Answer:

B.

Step-by-step explanation:

The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.

What is the quotient of 0.8449 ÷ 0.71? 0.119 1.19 11.19 110.19

Answers

Answer: 1.19

Explanation: 0.8449/0.71=1.19

Answer:

1.9

Step-by-step explanation:

i just took the quiz

Instructions: Find the equation of the line through point (−4,1) and parallel to y=−12x−2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=

Answers

Answer:

y = - 12x - 47

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 12x - 2 ← is in slope- intercept form

with slope m = - 12

Parallel lines have equal slopes, thus

y = - 12x + c ← is the partial equation

To find c substitute (- 4, 1 ) into the partial equation

1 = 48 + c ⇒ c = 1 - 48 = - 47

y = - 12x - 47 ← equation of parallel line

The required equation of the line is y = -12x - 47

What is the slope-point form of equation of the line?

"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"

What is the slope-intercept form of the line?

"y = mx + c, where m is the slope and c is the Y-intercept of the line."

For given question,

We have been given a point (-4, 1)

The required line is parallel to the line y = -12x - 2

Comparing above equation with slop-intercept form of the line.

m = -12

Let m1 be the slope of the required line.

We know that the slope of parallel lines is equal.

⇒ m1 = m

⇒ m1 = -12

Now we find the equation of the required line by using slope-point form.

Let (p, q) = (-4, 1)

By using slope-point form,

⇒ (y - q) = m1(x - p)

⇒ (y - 1) = -12(x - (-4))

⇒ y - 1 = -12x - 48

⇒ y = -12x - 47

Therefore, the required equation of the line is y = -12x - 47

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p2Κ۷p (2 is subscript) what does the 'v' symbol mean?

Answers

Use a calculator use a calculator

Find the measure of angle x in the figure below: A.) 65° B.) 70° C.) 110° D.) 125°

Answers

Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

Solve the system of equations using substitution. 3x + 2y = 7 y = –3x + 11

Answers

Answer:

Solve by Substitution 3x+2y=7 , y=-3x+11. 3x+2y=7 3 x + 2 y = 7 ... y=−4 y = - 4. x=5 x = 5. The solution to the system of equations can be represented as a point.

Step-by-step explanation:

All triangles are similar

True

False

Answers

Answer:
False

Why?
Because there are 3 types of triangles and they all look different, for example- a scalene triangle and a right triangle cannot look the same shape even if they are the exact same size. Post a comment if you need any clarification!
Hope this helps!

another question I need help ! answer ASAP please .

Answers

Answer:

35

Step-by-step explanation:

Since we know the amounts of each vitamin per serving all we have to do is find the difference.

We do this by subtracting 90 from 125.

125 - 90 = 35

35, just subtract 90 from 125

please help this is my last question

Answers

Step-by-step explanation:

1. 180-115 = 65°

2. 360-304= 56°

3. 180 - (65°+56°)

= 180 - 121

x = 59°

Answer:

this may help uh to solve this type of problems.

Sum of zeros in polynomial x2+4x+7 is

Answers

Answer:

-4

Step-by-step explanation:

Hello,

let say that [tex]x_1[/tex] and [tex]x_2[/tex] are two zeros of second order polynomial

it can be then be written

[tex](x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2[/tex]

So when we check this expression

[tex]x^2+4x+7[/tex]

we can say that the sum of zeros is -4

and the the product of zeros is 7

to note that in this example there are no real root of this equation

[tex]x^2+4x+7=0[/tex]

here, the zeros are complex numbers not real ones

if I have to solve it in [tex]\mathbb{R}[/tex] I would say that there are no zeros so their sum is not defined

if I have to solve it in [tex]\mathbb{C}[/tex] I would say that there are two complex roots and their sum is -4

hope this helps

What are the coordinates of the terminal point for θ=330?

Answers

Answer:

[tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]

Step-by-step explanation:

If you look at a unit circle it will show you the answer.

(Multiple Choice, 20 pts)
Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared, and check for extraneous solutions.

A. x = 0; x = 3 is an extraneous solution
B. x = 3; x = 0 is an extraneous solution
C. x = 0; x = −3 is an extraneous solution
D. x = −3; x = 0 is an extraneous solution

Answers

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate x's

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

the person above is correct

Can someone please help me with this

Answers

Answer:

I'm pretty sure the correct answer is

D. None of the choices are correct

Step-by-step explanation:

The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.

Hope this helps!

- Quinn <3

FOR BRAINLIEST ANSWER IF CORRECT Solve application using algebra. Write your equation or inequality and show your solving steps. A 10-meter wire is cut into 2 unequal pieces. The large piece is 3 meters less than twice the smaller piece. Use algebra to determine the lengths of each piece.

Answers

Answer:

x = 6.5

Step-by-step explanation:

2x - 3 = 10

2x = 10 + 3

2x = 13

x = 6.5

Answer:

Small piece is 4.3

Large piece is 5.7

Step-by-step explanation:

Let small piece be x

Large piece will be 2x-3

x + 2x - 3 = 10

3x -3 = 10

x = 13/3

Large piece will be 2*13/3 -3 = 17/3

plz help as fast as possible I will give you points

Answers

Answer:

The value of the line is 5.83.

Hope it helps!

Answer:

d = √34 or 5.83

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Point R (-3, 1)

Point S (2, 4)

d = √(2+3)²+(4-1)²

d = √(5²+3²)

d = √(25 + 9)

d = √34 or 5.83095

Which of the following is the rule for the geometric
sequence 1, 3. 9. 27, ...?
an = 3.39-1
an = 3.31
an = 1.32
an = 1.39-1

Answers

Answer:

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Step-by-step explanation:

The n th term rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , thus

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Please solve them I really need help

Answers

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

If ZPQR measures 75°, what is the measure of ZSQR?

Answers

75 degree is the answer being opposite angles maybe

Answer this please thanks

Answers

Answer:

z=5, m<b=66 degrees

Step-by-step explanation:

8z+74+2z+56=180

10z+130=180

10z=50

z=5

Answer:

Step-by-step explanation:

To Find the value of x in this Alternate Interior Angle Relationship..

add [tex]8x+74[/tex] and [tex]2x+56[/tex]

[tex]8x+74+2x+56[/tex] combine like terms

[tex]10x+130=180[/tex]

subtract 130 on both sides

[tex]10x=50[/tex]

divide 10 on both sides

[tex]x=5[/tex]

Now solve for the angle of measure B

∠B=2(5)+56

∠B=10+56

∠B=66°

The radius of a semicircle is 1 meter. What is the semicircle's area?

Answers

Answer:

1.57

Step-by-step explanation:

[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]

Which is the best approximation for the measure of angle ABC?

27.7°
31.7°
58.3°
62.3°

Answers

Answer:

58.3°

Step-by-step explanation:

Missing Information:

In this question the diagram is missing Following are the attachment of diagram of the given question.

As we seen that the vertex c is making the right angle i,e 90°  also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm

Now we have find the best approximation of the angle ABC used the cosx  trigonometric function.

[tex]cos\ x\ =\ \frac{perpendicular}{Hypotenuse} \\[/tex]

Putting the value of perpendicular and hypotenuse in the previous formula we get

[tex]cos\ x\ =\ \frac{10.5\ cm}{20\ cm} \\[/tex]

[tex]x\ =cos^{-1}\ 0.525\\x \ = \ 58.33[/tex]

Answer:

58.3

Step-by-step explanation:

jus did the test review on EDGE! :)

Use the multiplier method to increase £88 by 14%

Answers

Answer:

£100.32

Step-by-step explanation:

£88 + 14% × £88 = £88

 = 1.14×£88

 = £100.32

Answer:

£100.32

Step-by-step explanation:

[tex]88 \times \frac{14}{100} = 12.32[/tex]

so,

[tex]88 + 12.32 = 100.32[/tex]

hope this helps you


10. The diagram on the right shows the growth of a type of cell. nx4
It is given that on the first day, there are four cells. On the
second day, each cell produces three cells. On the following n
day, each new cell produces another three new cells. The
process of producing new cells repeats at the same rate.
(b)calculate the total number of cells on the fifth day​

Answers

i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(

what is the point slope form of a line with slope -4 that contains the point (-2,3)

Answers

Answer:

y -3 = -4(x+2)

Step-by-step explanation:

The point slope form of a line is

(y-y1) = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y -3 = -4(x- -2)

y -3 = -4(x+2)

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The UCL Which of the following is not an undefined term? point, ray, line, plane why is it important to fit your persuasive appeal to your audiences interest. 5776 students are sitting in an auditorium in such a manner that there are as many asstudents in a row as there are rows in the auditorium.. How many rows are there in theauditorium?(76) Parino Company has three product lines in its retail stores: books, videos, and music. The allocated fixed costs are based on units sold and are unavoidable. Demand of individual products is not affected by changes in other product lines. 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