Which sequence of transformation will not result in a figure that is congruent to the original figure?

A) a rotation of 270° counter clockwise about the origin followed by translation of eight units to the right
B) A reflection over the Y axis followed by a rotation of 180° about the origin
C) a dilation with a scale factor of four followed by reflection over the x-axis
D) A reflection over the Y axis followed by a translation of 3 units to the left and 2 units to the right

Answers

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

Two figures are congruent if their corresponding sides are congruent.

We know that, reflection, rotation and translation are rigid transformation. It means the size and shape of image and preimage are same. We can say that in rigid transformation, the image and preimage are congruent.

Dilation is not a rigid transformation. It represents enlargement and compression.

If scale factor |k|>1, then it represent enlargement. If scale factor |k|<1, then it represent compression.

In option C, the scale factor is 4. It means the sides of image are 4 times of the preimage.

Therefore option C is correct and the resultant figure of option C  is not congruent to the original figure.


Related Questions

PLS ANSWER ASAP WILL GIVE BRAINLIEST















The table shows the number of minutes in different numbers of days.

Number of Days 4 7 11
Number of Minutes 5760 10,080 15,840
Which equation expresses the relationship between the number of days, d, and the number of minutes, m?


d = 1440m

m = d + 1440

m=d1440

m = 1440d

Answers

Answer:

Last choice

Step-by-step explanation:

Let's assume m is the "y" (dependent variable) and d is the "x" (independent variable) because the number of minutes is larger, and that would make more sense.

5760/4=1440

10080/7=1440

...

Slope is 1440, and it is direct variation

m=1440d

It COULD also be the third choice, but mathematical convention would have us put the coefficient first.

On a given blueprint, 1 inch equals 16 feet. If the dimensions of the bedroom on the blueprint are .75 inches x 1.5 inches, what are the actual measurements

Answers

12ft by 24ft. 1.5 X 16 is 24 and .75 X 16 is 12

The actual measurements are 12 feet by 24 feet.

What is Scale in map?

The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."

The scale of a map is the proportion between the distance shown on paper and the actual distance on the ground.

Given:

1 inch = 16 feet.

Dimension of bedroom on blue print is 0.75 inches x 1.5 inches.

so, the actual dimension of bedroom is

= 0.75 x 16 by 1.5 x 16

= 12 feet by 24 feet.

Hence, the actual measurements are 12 feet by 24 feet.

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When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem? 2 3 4 5

Answers

Answer:

The answer would be 4.8.

Step-by-step explanation:

The reason for it is because you subtract 37.63 - 32.83 and you get 4.8

Answer: 4


Step-by-step explanation: you will need to subtract 37.63 to 32.83, and so it will give you 4.8. since it is asking for an individual number between 2-5, it is reasonable to choose 4 (ideal because the final answer is 4.8.)


in the drawing of triangle XYZ, which angle has the least measure?

Answers

Need a picture or some kind of information

Trigonometric area formula: Area = 1/2 ab sin (c)

What is the area of ABC? Round to the nearest tenth of a square unit.

A) 3.9 square units

B) 8.4 square units

C) 11.8 square units

D) 17.7 square units

Answers

Answer:

its probably 8.5

Step-by-step explanation:


Answer:

Option B.

Step-by-step explanation:

Trigonometric area formula is Area = [tex]\frac{1}{2}\times absin(C)[/tex]

Where a and b are two sides of the triangle and C is the angle between these two sides.

As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle will be defined by the formula

Area = [tex]\frac{1}{2}\times acsin(B)[/tex]

        = [tex]\frac{1}{2}\times acsin(B)[/tex]

        = [tex]\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)[/tex]

        = 6√2×sin80°

        = 6×(1.414)×0.9848

        = 8.36 square units

        ≈ 8.4 square units

Option B is the answer.

help me understand this problem

Answers

It ΔABC and ΔXYZ are similar, then the sides of the triangles are in proportion.

[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]

We have BC = 8, AC = 7, Y = 28, XZ = 49 and YZ = 56. Substitute:

[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}\to\dfrac{AB}{28}=\dfrac{8}{56}\qquad\text{cross multiply}\\\\56AB=(8)(28)\qquad\text{divide both sides by 56}\\\\AB=\dfrac{224}{56}\\\\\boxed{AB=4}[/tex]

From 6x^2−7xy+8y^2 subtract the sum of x^2−3xy−y^2 and 2x^2+5xy−4y^2

Answers

is that the last answer you need?

Lucy had $9.72 after leaving the game store if she bought a game for $34.79 how much money did she have before she went into the game store?
(Trying to help sister, 4th grade math)

Answers

You just add the amount she spent and the amount she had left over to find out how much she had before she went into the game store. So 9.72+34.79 is $44.51. Hopefully this helped her out.

Answer:

Add the amount that is left over to them game money

Step-by-step explanation:

34.79 + 9.72 = 44.51 dollars

She had 44.51 before she went to the game store

what is 4 percent of 320

Answers

Answer:

Alright well  simplify the expression

which gives u 12.8 Hope this help's Have a nice day :)

Step-by-step explanation:

If u want i can explain with detail

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off. Tony writes althea following expression to calculate the cost of the jacket after the discount:

p - .30p

Now which of the following is equivalent?

1.30p
1.70p
2p - .30
.70p
p (1 - .30)

Answers

Answer:

.70p  

p(1-.30)

Step-by-step explanation:

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off.

Tony writes althea following expression

p - .30p

Here P  or 1P  are same

So expression becomes 1p - 0.30p

Both are like terms

so we can subtract it

1p - 0.30p = 0.70p

Also we can write 1p - 0.30p  as  p(1-0.30)

We can take out p that is in common

Equivalent expression is .70p  and p(1-.30)

Evaluate the expression for x = 3, y=13 , and z = 5.

12x−3y4x−z

Enter your answer in the box.

Answers

i would use cymath or photo math

ps im not a bot lol

Which values in P and Q result in an equation with no solutions? Px+5= -4x+Q

Answers

Answer:

Given equation: [tex]Px+5 = -4x+ Q[/tex]

Add 4x on both sides we get;

Px + 5 + 4x = -4x + Qc+ 4x

Simplify:

Px +4x + 5 = Q

or

x(P+4) = Q - 5

Divide P+4 on both sides we get;

[tex]x = \frac{Q-5}{P+4}[/tex]

If we set Q-5 = 0 and P +4 = 0, there will be no solutions.

Since, No solution would mean that there is no answer to the equation.

⇒[tex]Q -5 = 0[/tex]

or

Q = 5

and

⇒[tex]P +4 = 0[/tex]

or

P= -4

Therefore, the values of P = -4 and Q = 5 results in an equation with no solutions.





Answer: P = -4 and Q = -5


Construct a function with a rate of change of 2/3 and an initial value of 4
(put your equation in slope-intercept form)

Answers

Answer:

f(x) = 2/3x +4

Step-by-step explanation:

The initial value is another name for the y intercept, so b = 4

Rate of change is another name for slope so m = 2/3

We can use the equation y =mx+b

y = 2/3 x + 4

We want it in function form

f(x) = 2/3x +4

Express the partial sums ( sn) of the following geometric series recursively (Remember all three parts): 3 + 6 + 12 + 24 + ...

Answers

45 jdkdodididiixidiixixixix
4 is the answer because you add all the number s together

Samara was playing a game. She wrote down this number sentence to find the total number of points for 11 games in a row. 5 + 7 + 9 + 3 + 1 + 3 + 9 + 8 + 5 + 2 + 3 What's the sum of her scores? 30 35 45 55

Answers

Answer:55


Step-by-step explanation: Whenever you see the word "sum" it means to add. So, 5+7+9+3+1+3+9+8+5+2+3=55


Final answer:

By adding each game's score in Samara's game sequence, we find that the total score of all 11 games is 55 points.

Explanation:

To find the total score of Samara's games, we need to add all the points she got from each game. We do this by performing the addition of the numbers in the number sentence she wrote down:

First, let's add the first three numbers: 5 + 7 + 9 = 21.Next, let's add the next three numbers to the previous sum: 21 + 3 + 1 + 3 = 28.Then, continue adding the next three numbers to the sum: 28 + 9 + 8 + 5 = 50.Finally, add the last two numbers to the total sum: 50 + 2 + 3 = 55.

Thus, the total number of points for 11 games is 55.

Learn more about Addition here:

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The total cost, including shipping, for ordering five uniforms is $61. The total cost, including shipping, for ordering nine uniforms is $ 105. find the slope.

Answers

Answer:39/4


Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.

This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.

Hope this helped.


PLEASE HELP ME This is due on Tuesday

Answers

Answer:

3 and 6 as well as 4 and 5

Step-by-step explanation:

interior angles are the ones between perpendicular lines. I do belive you choose the ones oposite from one another. JUst look for the definiotn of angles on google and you'll find plenty of helpful awnsers to solving you equasions.

3 and six and 4 and 5

factor the expression using GCF 25+30

Answers

Answer:

5(5+6)

Step-by-step explanation:

25+30

Lets factor each expression

25 = 5*5

30 = 5*6

We can factor out a 5

5(5+6)


What is the measure of 8?

120°
90°
60°
180°
_____________________________


What type of angles are 1 and 5?



vertical
supplementary
corresponding
complementary

Answers

Answer:

< 8 = 60

<1 and <5 are corresponding angles

Step-by-step explanation:

<2 = <3  vertical angles

<3 = <6  alternate interior angles

<6 + <8 = 180  supplementary angles

120 + <8 = 180

Subtract 120 from side

120-120 + <8 = 180-120

< 8 = 60


<1 and <5 are corresponding angles

Corresponding angles occupy the same relative position at each intersection.

Answer:

The measure of [tex]\angle 8[/tex] is 60°

[tex]\angle 1[/tex] and [tex]\angle 5[/tex] are corresponding angles.

Step-by-step explanation:

Given that, [tex]m\angle 2= 120\°[/tex]

In the given diagram, [tex]\angle 2[/tex] and [tex]\angle 6[/tex] are corresponding angles and their measures are same.

So, [tex]m\angle 6= 120\°[/tex]

Now, [tex]\angle 6[/tex] and [tex]\angle 8[/tex] are pair of linear angles.

That means......

[tex]m\angle 6+m\angle 8= 180[/tex]°

[tex]\Rightarrow 120\°+m\angle 8=180\°\\ \\ \Rightarrow m\angle 8= 180\°-120\°\\ \\ \Rightarrow m\angle 8=60\°[/tex]

So, the measure of [tex]\angle 8[/tex] is 60°

The type of angles for [tex]\angle 1[/tex] and [tex]\angle 5[/tex] is corresponding.

Need some pre-cal help! Will give best answer brainliest

Answers

Answer:

f(1) = -3

f(8) =3

f^-1 (5) =2

f^-1 (2) =4

Step-by-step explanation:

f(1) = is the value when x=1  which is -3

f(8) = is the value when x=8 which is 3

f^-1(5) is x value when   y=5  so find y=5 in the table and read the x value  x=2

f^-1 (2) is the x value when y=2 so find y=2 in the table and read the x value  x=4


4 glue sticks cost 7.76$.what equation would help determine he cost of 13glue sticks

Answers

Answer:

25.22

Step-by-step explanation:

7.76/4 and then after the unit rate you multipy it by 13

Answer:

13 glue sticks cost $25.22

Step-by-step explanation:

We can use ratio's to solve this problem.  We put price over number of sticks.


$7.76            x dollars

------------- = ---------------

4 sticks          13 sticks

Using cross products

7.76 * 13 = 4 * x

100.88 =4x

Divide each side by 4

100.88 /4 = 4x/4

$25.22 =x

Find x, using SOHCAHTOA?

Answers

Answer:

x = 57.22754579  

Step-by-step explanation:

We know cos 63 = adjacent/ hypotenuse

                  cos 63 =  15 sqrt(3)/x

Multiply each side by x

x cos 63 =15 sqrt( 3 )

Divide each side by cos 63

x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)

  x = 15 sqrt(3)/ cos 63

x = 57.22754579  

PLEASE HELP ME!! use the figures below. write a sequence of rigid motions that maps triangle RST to triangle DEF

Answers

Final answer:

To map triangle RST to triangle DEF, perform a translation, rotation, and possibly a reflection.

Explanation:

To map triangle RST to triangle DEF using rigid motions, we need to use a combination of translations, rotations, and reflections.

Translate triangle RST by vector EF so that point R maps to point D.Rotate the translated triangle about the point D by the measure of angle EDF to align RS with DE.If necessary, reflect the rotated triangle across a line passing through point D to align ST with EF.

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If your percent of discount is 25% and your sales price is $40, what is your original price. Please show me how you got your answer.

Answers

Final answer:

The original price before a 25% discount, when the sales price is $40, is calculated as $40 divided by 0.75, resulting in $53.33.

Explanation:

To find the original price before a 25% discount, we can set up the equation where original price minus 25% of the original price equals the sales price. Let's call the original price 'P'. Then 0.25P is the amount discounted. The equation is P - 0.25P = $40. This simplifies to 0.75P = $40. To find P, divide both sides by 0.75, giving us P = $40 / 0.75. So, the original price P = $53.33.

The original price is $53.33.

If you have the sales price and the percent of discount, you can calculate the original price using the following steps:

Let P be the original price.Since the discount is 25%, you pay 75% of the original price.We know that 75% of the original price is $40.

To find the original price, we set up the equation:

0.75P = 40

Next, solve for P by dividing both sides by 0.75:

P = 40 / 0.75

P = $53.33

So, the original price of the item was $53.33 before the 25% discount was applied.

During which interval did the price decrease at the greatest rate? year: 2000,2002,2003,2005 price: 58,54,50,44,43

Answers

Answer:


Step-by-step explanation: I would say the 43 which is 2005.The reason for my answer is because you first write down the years. Then write down the price beside the years. Then you put them in order from greatest to least or least to greatest.Once you find out the least value then find the year that price was in. Hope this helps!!!

Please amrk brainliest


log(base 6)6+log(base 6)(x-5)=log( base 6)6

Answers

Answer: 6

Step-by-step explanation:

NOTE: log₆6 = 1

log₆6 + log₆(x - 5) = log₆6

  1      + log₆(x - 5) =    1

            log₆(x - 5) =    0

                    x - 5  =  6⁰

                    x - 5  =  1

                    x       = 6

I don’t get what this is. Does anyone else?

Answers

Answer:


Step-by-step explanation:

If the lines are parallel, then angles 1, 7, 3, and 5 are congruent because they are vertical/corresponding angles.


Therefore, they are all 113 degrees. For the rest of them, you just subtract from 180 to get 67. Therefore,



2 = 67 degrees

3 = 113 degrees

4 = 67 degrees

5 = 113 degrees

6 = 67 degrees

7 = 113 degrees

8 = 67 degrees

Christina Stratton invested $8,000 in a certificate of deposit for 4 years. The certificate earns interest at an annual rate of 6.00 percent compounded quarterly. The amount per $1.00 is 1.061831. What is the effective annual yield ? Show work.

Answers

Final answer:

The effective annual yield for a certificate of deposit with a 6% annual interest rate compounded quarterly is approximately 6.14%.

Explanation:

To find the effective annual yield, we need to use the formula:

Effective Annual Yield = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1

In this case, the interest rate is 6%, which is equivalent to 0.06. The number of compounding periods is 4 per year. Plugging these values into the formula, we get:

Effective Annual Yield = (1 + (0.06 / 4))^4 - 1

Calculating this, we find that the effective annual yield is approximately 6.14%.

in a certain city , the hourly wage of workers on temporary employment crontracts is normally distributed. The mean is $15 and the standar deviation is $3. What percentage of temporary workers earn less than $12 per hour?
A) 6%
B) 16%
C) 26%
D) 36%

Answers

Answer:

16%

Step-by-step explanation:

The mean is $15 and the standar deviation is $3.

mean = 15  and SD = 3

We need to find percentage less than 12 per hour

P(x<12)= P(x=12)

to find P(x=12) we find z-score

[tex]z= \frac{x-mean}{SD} =\frac{12-15}{3} =-1[/tex]

Now use z-score table . z-score = 0.1587

P(x=12)=0.1587

To get percentage we multiply by 100

0.1587 * 100 = 15.87 = 16%

How do you do this 89.25 ×7 1/4 by showing steps

Answers

Answer: 1584.1875

Step by Step Explanation:

Step 1. Multiply the fraction

71 x 89.25/4

Step 2. Multiply the numbers 71 x 89.25.

= 6336.75/4

Step 3. Divide the number 6336.75/4.

= 1584.1875

Hope I could help! :)

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