Under a dilation, are the pre-image and the image always,
sometimes, or never congruent?

The patterns of tiles do not follow an arithmetic sequence or geometric sequence

When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern will always be odd

From the question, we have the following pattern:

The number of square tiles is calculated using:

Tn= n²

So, we have:

T₇ = 7²

T₇ = 49

Hence, 49 square tiles are needed in pattern 7

The number of circular tiles is calculated using:

Tn= 4n + 4

So, we have:

T₂₀= 4 * 20 + 4

T₂₀= 84

Hence, 84 circular tiles are needed in pattern 20

Using the computations in (a) and (b), we have:

The total number of tiles in odd pattern number is always odd

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Answer:

76

Step-by-step explanation:

4+4+4+4+4+4+8+8+18+18 = 76

Answer:

Below

Step-by-step explanation:

The second ( Oval)   (The cross-section of a slanted plane through curved body of the cylinder)

The third (Circle).  ( The cross section of a plane parallel to the base)

The fifth (Rectangle) (The vertical  cross section of a plane through the diameters of the top and bottom of the cylinder.).

The shapes can be used are oval, circle and rectangle.

Geometric shapes are defined as figures closed by a boundary which is made by combining the definite amount of curves, points, and line segments. Each shape has a unique name such as circle, square, triangle, rectangle, etc. In real life, we are surrounded by various basic geometric shapes, like the slice of a pizza is in the shape of a triangle, doors or windows are in the shape of a rectangle, and many more.

In geometry, when an object or a shape is not connected with both ends, it is considered an open geometric shape. When an object or a shape is connected with both ends it is considered a closed geometric shape. There are two types of geometric shapes, classified as:

First, oval can be used as the cross-section of a slanted plane through curved body of the cylinder.

Then, circle (plane parallel to base)

Then, rectangle  the vertical cross section of a plane through diameters.

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Answer:

yes, an expression is at least 2 terms
an equation requires two sides

Answer:

yes

Step-by-step explanation:

Answer:

after operating costs are paid to a toy shop, as more toys are sold, more money is made

Answer:

Length= 20m, width=30m Area= 600m²

Step-by-step explanation:

The length becomes 8/2 × 5m=20m

the width becomes 12/2 × 5m=30m

Area = length × width

= 20m × 30m

=600m²

[tex]\tan 60^{\circ}~\text{equals y coordinate divided by x coordinate, where }(x,y) = \left(\dfrac 12, \dfrac{\sqrt 3}2 \right)[/tex]

[tex]\tan 60^{\circ}\\\\= \dfrac yx \\\\\\=\dfrac{\sin 60^\circ}{\cos 60^\circ}\\\\\\=\dfrac{\tfrac{\sqrt 3}2}{\tfrac 12}\\\\\\=\dfrac{\sqrt 3}2 \times 2\\\\\\=\sqrt 3[/tex]

This rule is enough

Now

Here A=60°

Answer:

7.    x-2y=-4      
     -x-y=-5


x-2x=-4
2x+2y=10

Step-by-step explanation:

sorry cant do the rest im sleeping now but use symbolab just add the equations there and easy good night

Answer:

i do not understand how you wrote this please explain better

Step-by-step explanation:

The inequality of the graph is a linear inequality

The inequality shown in the graph is y > -2x -2

The points on the graph are given as:

(x,y) = (-2,2) and (0,-2)

The slope (m) is calculatedusing:

m = (y2 - y1)/(x2 - x1)

This gives

m =(-2 - 2)/(0 + 2)

Evaluate

m = -2

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -2(x - 0) -2

y = -2x -2

The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality

The equation becomes

y > -2x -2

Hence, the inequality shown in the graph is y > -2x -2

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Work Shown:

[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]

Answer:

c and d

Step-by-step explanation:

because

- In f(x),evey time you find  X you write(-6x+5) instead

4x²-----------4(-6x+5)²

3x+1------------3(-6x+5) +1

-In g(x),evey time you find  X you write(-4x² +3x+1)  instead          

Answer:

The distance between points A and C is 275000 kilometers

Answer:

B.  Opposite sides are parallel.

Step-by-step explanation:

This is the definition of a parallelogram.

The other 3 conditions may or may not be true.

Opposites sides are parallel is always a property of a parallelogram.

" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."

According to the question,

As per the properties of parallelogram we have,

Hence, Option (B) is the correct answer.

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We will see that the lateral surface area of the cone is 14 square inches.

We know that for a cone of height H and radius R, the lateral surface of the cone is:

S = 3.14*R*H

In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:

R = (2 + 1/2) in = (1 + 1/4) in

Replacing that on the surface equation, we will get:

S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2

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Answer:

it's 15

Step-by-step explanation:

guy above was close

Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is

d = 25*h

Given Data

We know that the expression showing the relationship between speed, distance and time is given as

Speed = Distance/Time

Substituting our given data we have

25 = d/h

Making distance subject of formula we have

25*h = d

d = 25*h

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Answer:

-4

Step-by-step explanation:

This is according to my sense. please consider other answers as well

Dilating the blue figure to create the red figure ensures that both figures have different sizes

The correct center of dilation is (d)

The center of dilation influences the position of the image of the dilated figure.

The 4 diagrams show that both figures have the same center

Hence, the correct center of dilation is (d)

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Answer:

Step-by-step explanation:

the answer for 5(x – 4) = 2(x + 5)


is x=10

your welcome!

Answer:

x = 10

Step-by-step explanation:

5(x – 4) = 2(x + 5)               DISTRIBUTE

5x - 20 = 2x + 10                COMBINE LIKE TERMS

3x = 30                               ISOLATE X

x = 10                                  FINAL ANSWER

I hope this helps!

Answer:

$6.00 (Six dollars)

Step-by-step explanation:

Two bags of cookies = $6 (2 x $3)

One pie = $8

$6 + $8 = $14

$20-$14 = $6

Ms. O'hara should receive $6 in change.

Answer:

Step-by-step explanation:

The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.

According to the graph, the data set has 9 elements.

The 5th number in the set is the median, which is 14

14

Step-1: Prepare a table that represents the number of dots above a specific number:

[tex]\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||[/tex]

Step-2: Put the values in ascending or descending upon your choice:

[tex]10, 10, 12, 13, 14, 15, 18, 19, 19[/tex]

Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.

[tex]\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}[/tex]

Since the number of digits is odd, we will use the formula (a + 1)/2

(where a is the number of digits in the data)

Step-4: Substitute the number of digits in the formula.

⇒ (a + 1)/2th

⇒ (9 + 1)/2th

⇒ (10)/2th

⇒ 5th digit is median

Step-5: Look for the 5th digit in the data. That digit is your median.

[tex]10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19[/tex]

The median of the dot plot is 14.

Step-by-step explanation:

m / 5 = 25

m = 25 × 5

m = 125

.............

Answer:

125

Step-by-step explanation:

m/5 = 25

m = 25 x 5

m = 125

Answer:

Below in bold.

Step-by-step explanation:

x /18 = 12/10

10x = 18*12

x = 216/ 10

= 21.6.

10/w = 18/24

10/w =  3/4

3w = 40

w = 40/3 =  13 33   to the neaest hundredth.

Answer:

A

Step-by-step explanation:

Find Θ from the problem by using arcos. Find that Θ=64.158....

plug this into cos(Θ) and find that cos(Θ)= [tex]\frac{\sqrt{19} }{10}[/tex] or 0.43589. A is the only answer choice with this so it must be correct.

The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.

The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).

Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5

Then, for a sample N, we can expect that about 0.5*N of the participants win.

In this case, the sample is 250, then we can expect that:

0.5*250 = 125

Around 125 of the contestants win the game

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✰ Concept Used :-

⠀

In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

⠀

✰ Given Information :-

⠀

⠀

✰ To Find :-

⠀

⠀

✰ Formula Used :-

⠀

[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]

⠀

✰ Solution :-

⠀

[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, option B. 19.60 ft. is the correct option.

⠀

[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]

Answer:

Answer is B

Step-by-step explanation:

Answer:

that is a 1/3 dialation, becuase you can estimate the base of the bigger triangle to be around 12 and the base of the smaller triangle is 4, and that would be a fraction that is something like 4/12 which happens to be equal to 1/3.

O √2

O π

O √10

✔ O √16

rational numbers are decimals, whole numbers, fractions.

Answer:

b) 55 and 43

Step-by-step explanation:

I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.