On a coordinate plane, parallelogram A B C D, parallelogram A prime B prime C prime D prime, and parallelogram A double prime, B double prime, C double prime, D double prime are on the graph.

In the pre-image of the parallelogram, the slope of AD is −3 and the slope of BC is −3. The image is translated down 7 units and then reflected over the y−axis.

The slope of A"D" is_____

The slope of B"C" is_____

What can you determine about the line segments A"D" and B"C"?

Answers

Answer 1

Answer:

The answer is... a=3 b=3 and are parrelell

Answer 2

The line segments A"D" and B"C" are parallel to each other because they are both vertical lines.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Since the pre-image parallelogram has sides with slope -3, we can conclude that the sides AD and BC are parallel to each other.

After the translation, every point of the image is shifted 7 units down, and thus the slope of AD and BC does not change.

The reflection over the y-axis will cause the signs of the x-coordinates to flip. Therefore, the slope of AD and BC will change from -3 to 3.

Since A"D" is a vertical line (its two points have the same x-coordinate), its slope is undefined.

Similarly, B"C" is also a vertical line, so its slope is undefined.

We can also determine that A"D" and B"C" are parallel to each other since they are both vertical lines.

Learn more about parallelograms here:

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Related Questions

Quadrilateral ABCD is a rhombus. Given tha m

Answers

Answer:

m<EDA=35°

m<DAE=35 diagonal bisect it

Step-by-step explanation:

m<AED=180-2×35=110°(by sum of interior angle of the triangle)

m<BCE=mDAE=35° alternate angle

What is the answer to this question?
6x - 6 < 12

Answers

Answer:

X<3

Step-by-step explanation:

  6x−6+6<12+6

6x<18

Step 2: Divide both sides by 6.

6 divded by 6 = 1

18 divided by 6= 3

therefore the answer would be

X<3                  

Answer:

x = 1 or less

Step-by-step explanation:

12 - 6 = 6

6x = 6 or less

Divide each side by 6:

6x/6 = 6 or less/6

x = 1 or less

Mrs. Gargantua thinks she finally may have found
a medicine which will remove the blackness from
her teeth. But first she has to mix a liquid
containing 4% reactor fuel with a liquid containing
20% reactor fuel to create a 6 ounce liquid
containing 8% reactor fuel. How many ounces of
the 4% liquid must she use? Round your answer to
the nearest one decimal place (tenths).

Answers

Answer:

She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.

Step-by-step explanation:

x = amount of 4% fuel

6 - x = amount of 20% fuel

0.04x + 0.2(6 - x) = 0.08(6) Multiply both sides by 100 to remove the decimals

4x + 20(6 - x) = 8(6)

4x + 120 - 20x = 48

-16x + 120 = 48

-16x = -72

x = 4.5

She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.

last week maria ran 16.4 miles more than Kathryn. Maria ran 30 miles. How many did Kathryn run ?​

Answers

Aşkım sen ne yapıyorsun yaz bana
ANSWER: 13.6

EX:
You would subtract 30 and 16.4.
Also I just did it!

If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?

Answers

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

Answer:

Step-by-step explanation:

128 marbles

First you divide 48 by 3 and u get 16. Then u multiply 16 by 8.

To prove just simplify

3/8=48/128

3/8=3/8

Anyone able to help me with this math please?
I dont really understand how to do it so an explanation would be awesome!

Answers

Answer:

A) y = -24

Step-by-step explanation:

y = 5x - 4

y = 6x

substitute for y:

5x - 4 = 6x

reduce:

x = -4

y = -24

The data in this question will be utilized for the next three questions. The number of pets a group of students have are given below.Solute deviation?

Answers

Question

The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.

Number of pets:        0-2    2-4   4-6   6-8   8-10   10-12    12-14

Number of students:  1        2      1        5       6         2           3

Calculate

(1) Mean      (2) Sample Variance    (3) Sample Standard Deviation

Answer:

[tex](1)[/tex] [tex]\bar x = 8.1[/tex]

[tex](2)[/tex] [tex]\sigma^2 = 6.341[/tex]

[tex](3)[/tex] [tex]\sigma = 2.518[/tex]

Step-by-step explanation:

Given

The above data

First, we calculate the class midpoint (x)

Pets:  [tex]0-2[/tex]    [tex]2-4[/tex]   [tex]4-6[/tex]   [tex]6-8[/tex]   [tex]8-10[/tex]   [tex]10-12[/tex]    [tex]12-14[/tex]

x           1           3          5       7           9          11          13

f:           1            2         1        5           6         2           3

The class midpoint (x) is calculated by the average of each group.

For pets: 0 - 2.

[tex]x = \frac{0 + 2}{2}= \frac{2}{2} = 1[/tex]

The same is done for other groups.

Solving (a): Mean

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives:

[tex]\bar x = \frac{1 * 1 + 3 * 2 + 5 * 1 + 7 * 5 + 9 * 6 + 11 * 2 + 13 * 3}{1 + 2 + 1 + 5 + 6 + 2 + 3}[/tex]

[tex]\bar x = \frac{162}{20}[/tex]

[tex]\bar x = 8.1[/tex]

Solving (b): Sample Variance

This is calculated as:

[tex]\sigma^2 = \frac{\sum(x_i - \bar x)^2}{\sum f - 1}[/tex]

So:

[tex]\sigma^2 = \frac{(1 - 8.1)^2+(3 - 8.1)^2+(5 - 8.1)^2+(7 - 8.1)^2+(9 - 8.1)^2+(11 - 8.1)^2+(13 - 8.1)^2}{20 - 1}[/tex]

[tex]\sigma^2 = \frac{120.47}{19}[/tex]

[tex]\sigma^2 = 6.341[/tex]

Solving (c): The sample standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\sigma^2[/tex]

[tex]\sigma = \sqrt{6.341[/tex]

[tex]\sigma = 2.518[/tex]

a) Expand and simplify (x + 4)(x-7)

Answers

Answer:

Expanded:x²-7x+4x-28

Simplified: x²-3x-28

Step-by-step explanation:

Noemi is buying a 2 cup container of hand sanitizer. How many ounces is she buying?

Answers

Answer:

16 ounces

8x2=16 ounces

Step-by-step explanation:

Find sin A, cos A, and tan A as
a fraction in simplest form.

Answers

Answer:

sin A = [tex]\frac{15}{17}[/tex]

cos A = [tex]\frac{8}{17}[/tex]

tan A = [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

sine = [tex]\frac{ooposite}{hypothenuse}[/tex]

sine A = [tex]\frac{15}{17}[/tex]

cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]

cos A = [tex]\frac{8}{17}[/tex]

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan A = [tex]\frac{15}{8} = 1\frac{7}{8}[/tex]

Izisoziskkdwkkdkskxosoxiskkx sorry I don’t know

3y + 9 + 7y = 49
show your work

Answers

Answer:

4

Step-by-step explanation:

3y + 9 + 7y = 49

10y + 9 = 49

10y = 49 - 9

y = 40/10 = 4

I hope im right!!

(btw: which grade q is this? )

Before Answer:

I know what the answer would be but what does Y=??? I need to know so i can solve this easy question.

After Answer:

4

Step-by-step explanation:

3y + 9 + 7y = 49

10y + 9 = 49

10y = 49 - 9

y = 40/10 = 4

What i have to say:

If u know what Y is i can change this answer or i can say... 3 times whatever Y is so 3 times Y + 9 + 7 times Y = 49 Oh... i'm so sry do u have to find out what why is cuz i can do dat too. :) Thanks so much have a splendid life! :)  This might help just read it all! Ask 4 me to help with more! Byes. Ok i'm gonna change this ok done!

Grade: 8th Grade

To other person to answered this Question: Great Job! i gave you 5 stars and a heart!

Answer: 4 :) Plz give brainliest :( i have none but i hope i helped!!! :) :(

An international company has 12,700 employees in one country. If this represents 23.6% of the company's employees, how many employees does it have in total?

Answers

Answer: 33.6% of X = 26800

X = 26800 / 33.6%

   = 26800 / 0.336

  = 33.6%

HOPE THIS HELPS HAVE A AWESOME NIGHT/DAY✨

Step-by-step explanation:

Answer:

2997.2

Step-by-step explanation:

The population of Renton, WA, is about 101920
people.
Ten years ago, the population was about 91000
people.
By what percent did the population increase
between ten years ago and now?

Answers

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

%change=100(101920-91000)/(91000)

%change=12%

I'd be happy if you could help!​

Answers

Step-by-step explanation:

Circumference=22π

2πr=22π

r=11 in.

Area=121π in.²

Hope it helps you

A group of 300 students were divided into small groups based on their year of birth.
• One-fourth of the students were born in the year 2000
• The number of students who were born in 1999 is twice the number of students who were born in
2000.
• The number of students who were born in 2001 is one-third of the number of students who were
born in 1999.
• The number of students who were born in 1998 is half of the number of students who were born in
2001.

Answers

Answer:

Students born in 2000= 300*(1/4)=75 students

Students born in 1999= 75*2=150 students

Students born in 2001=150*(1/3) =50 students

Students born in 1998=50*(1/2) =25 students

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the first to win both prizes

Answers

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

Can someone please help it’s a quick question

Answers

Answer:

x = -12

Step-by-step explanation:

3/4x + 12 = 3

3/4x = -9

3x = -36

x = -12

what's the distance between (6, 4) and (2, 1)

Answers

Answer:

5

Step-by-step explanation:

You will need the distance formula. [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\[/tex]

([tex]x_{1}[/tex], [tex]y_{1}[/tex]) ([tex]x_{2}[/tex], [tex]y_{2}[/tex])

Now plug in the two points into the distance formula.

d= [tex]\sqrt{(2-6)^{2}+(1-4)^{2} }[/tex]

d= 5

the distance between them is 5

[ the domain of g(x) = 4x - 12 is {2, 3, 6, 8}. what is the range? ]
please help me i dont have much time im begging u its 50 POINTS!!!!!

Answers

Answer:

range: {-4,0,12,20}

Step-by-step explanation:

these values are the y-values for the specific four domain values given

Dan bought 20 bunches of seedless green grapes for $48.00 . How many bunches can buy if she has $12.00?

Answers

Answer:

Step-by-step explanation:

$12(20b/$48)=5b

Please help!! Thanks!

Answers

Answer:

5)B 6)A 7)C are the answers I believe.

Ralph is leasing a $38,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and a residual value of 72%. Determine Ralph’s approximate monthly lease payment.

A. $445.00 B. $530.40 C. $648.89 D. $526.93

Answers

Answer:

hey, the answer is D 443.73

Step-by-step explanation:

ILL MARK U BRAINLIEST!

Answers

Answer: D

Step-by-step explanation: ( C = 2πr )

Answer:

option d 100 m..

hope it's helpful

Help me with this please

Answers

Answer: (3,8)

5 + 2 (-1) = 3

10 + 2 (-1) = 8

Find the measure of the side indicated. Round to the nearest tenth.

Answers

Answer:

6.1

Step-by-step explanation:

Use sine. Remember sine is opposite leg over hypotenuse.

Sin 29.5=3/x --> Switch the x and sin 29.5

x=3/Sin 29.5

x=6.1

3(2 − 14)+ = 15 -(−9 −5)

Answers

Answer:

x = -31    brainliest please

Step-by-step explanation:

Answer:

its -31

Step-by-step explanation:

A car is on sale for R 95 850.If a deposit of 9 580 is paid ,how much is still owed on the car ?​

Answers

Answer:

Step-by-step explanation:

95 850-9 580=86270

R 86 270 is still owed for the car

Hope it helps!

:D

Can someone help me please it would literally mean the world to me

Answers

Answer:

4 days

Step-by-step explanation:

8 cakes = 1 day

32 cakes ÷ 8 cakes = 4 days

Answer:

X ≥ 4

Step-by-step explanation:

It will take her a minimum of 4 days to bake 32 cakes. The sign would be greater than or equal to because it could take her longer if she spaced out the orders more, but she can’t finish them in less than 4 days. (Btw X is the number of days it will take to complete her order).

Hope this helps!

Evaluate 9.1v +8.9w when v= 7 and w= 8.

Answers

Answer:

134.9

Step-by-step explanation:

Plug v and w into the expression.

v=7

w=8

9.1(7)+8.9(8)

Then simplify

63.7+71.2=134.9

Find the slope and the y-intercept of the line.
y = 5x-2
slope:
Ú
Undefined
Х
y-intercept:

Answers

Slope: 5
y-intercept: (0, -2)
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