Which equation describes a line of symmetry for rectangle ABCD

Which Equation Describes A Line Of Symmetry For Rectangle ABCD

Answers

Answer 1

Answer:

C. [tex] x = -2 [/tex]

Step-by-step explanation:

A rectangle has two lines of symmetry. That is, the line that divides the rectangle into two equal halves.

Taking a look at the rectangle that is placed on the coordinate grid. At what points do you think the two lines of symmetry can be located at that will give us two possible equal halves?

One will be horizontal, the other will be vertical.

For the horizontal line, the line of symmetry can be located at y = 5. If an horizontal line cuts through the rectangle at y = 5, we would have two equal halves.

Thus, an equation for a horizontal line is often represented as [tex] y = k [/tex]. Where k is a constant, because every coordinate point on the horizontal line would have the same value of k, which is where the line cuts across the y-axis. The slope of am horizontal line remains zero also.

Therefore, the equation of the line of symmetry of the rectangle shown in the coordinate grid would be:

✅[tex] y = 5 [/tex]

The second line of symmetry which is vertical, would cut across the rectangle at x = -2.

Thus, the slope of a vertical line is undefined.

The equation of a vertical line is represented as x = h.

Where h is a constant, since all coordinates along the vertical line would surely have a x-coordinate value of -2, regardless of what y-coordinate value they have.

Therefore, h, in this case is -2.

Thus, the equation that represents the second line of symmetry of the rectangle above would be:

✅[tex] x = -2 [/tex].

The two equations that represent the two lines of symmetry of the rectangle, respectively, are:

[tex] y = 5 [/tex]

[tex] x = -2 [/tex]

From the options given, the only correct option provided is:

[tex] x = -2 [/tex].


Related Questions

The sale price of every item in a store is 85% of its usual price.

The usual price of a backpack is $30, what is its sale price?
The usual price of a sweatshirt is $18, what is its sale price?
The usual price of a soccer ball is $24.80, what is its sale price?

Answers

Answer:

Sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

Step-by-step explanation:

A). Usual price of a sweat shirt is = $18

Sale price of the sweat-shirt is 85% of the usual price.

Therefore, Sale price = 85% of $18

=

= $15.30

B). Usual price of a soccer ball is = $24.80

Sale price of the soccer ball is 85% of its usual price.

Therefore, Sale price = 85% of $24.80

=

= $21.08

Therefore, sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

heres the real answer hope it helps :)

I have test corrections that are due tomorrow at 5pm but I cheated on it but I got some answers wrong on purpose. Now I don't know what to put for the wrong ones since I didn't do the work. She wants us to explain what we did wrong and how we fixed it but I don't know. I need help ASAP

Answers

Answer: Since you know some of the answers you put wrong say what I did wrong was I didn’t put...(and say the correct answer but like in a way )

Step-by-step explanation:

i saw in the comments it was about math so just be like for example if it’s 2x3. instead of putting 6, i put 5 because i thought that it was supposed to be 2+3when in reality it isn’t. i was supposed to multiply and instead i added. next time i need to remember my multiplication. just give a basic answer with a detail

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?

Answers

Answer:

8

Step-by-step explanation:

Given that:

Number of white balloon = 24

Number of maroon Ballon = 32

Number of orange Ballon = 16

To obtain the greatest number of arrangements ;

Find the greatest common factor of 24, 16 and 32

Factors of ;

24 = 1, 2, 4, 6, 8, 12, 24

16 = 1, 2, 4, 8, 16

32 = 1, 2, 4, 8, 16, 32

Hence, the greatest factor common to all three is : 8

Hence greatest number of arrangement that can be achieved is 8

A blockbuster movie makes about $352,000,000 in the United States during its
opening weekend. That same weekend another movie opens but only makes
about $4,800,000
Write each dollar amount in a scientific notation

Answers

Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

Answer:

3.52×10^84.8×10^6

Step-by-step explanation:

Converting numbers into scientific notation:

$352,000,000 = 3.52×10^8$4,800,000 = 4.8×10^6

3/5x -27 =24 what is x

Answers

Answer:

X = 85

Step-by-step explanation:

what is the perpendicular slope intercept form for this plss help!!​

Answers

Anything with -4x in the answer should work

Find the slope of the line that passes through:
(-3,-4) and (7,6)

Answers

m=1 or rise one run one :)))

PARTA
Acar travels 30 miles in of an hour. What is the average speed, in miles per hour, of the car?
1 2
5
3
Enter your answer in the box below.
miles per hour
1
2
3
71
4
5
6
7
8
9

Answers

The speed of car is 45.3 miles per hour.

Further explanation:

Speed is the rate at which an object changes position with respect to time.

Given

The formula for calculating speed is:

The speed of car is 45.3 miles per hour.

Keywords: Speed, distance

Learn more about speed at:

brainly.com/question/12896802

brainly.com/question/13063819

#LearnwithBrainly

I need help on this question ASAP give you 20 points

Answers

Answer:

213mi^2

Step-by-step explanation:

Given the sample triangle below and the conditions csc B = 10, b = 0.5, find the hypotenuse of the triangle.



5

10

20

Answers

Answer:

hey! i dont recommend putting that much points into one question, it lowers your point value meanig, you cant answer more questions than you usually can

Step-by-step explanation:

At a concession stand, seven hot dogs and two hamburgers cost 14.50, two hot dogs and seven hamburgers cost 17.00. Find the cost of one hot dog and the cost of one hamburger

Answers

Given:

Seven hot dogs and two hamburgers cost 14.50

Two hot dogs and seven hamburgers cost 17.00.

To find:

The cost of one hot dog and the cost of one hamburger.

Solution:

Let the cost of one hot dog be x and the cost of one hamburger be y.

According to the question,

[tex]7x+2y=14.50[/tex]       ...(i)

[tex]2x+7y=17.00[/tex]       ...(ii)

Multiply (i) by 7.

[tex]49x+14y=101.5[/tex]       ...(iii)

Multiply (ii) by 2.

[tex]4x+14y=34.00[/tex]       ...(iv)

Subtract (iv) from (iii).

[tex]49x-4x=101.5-34[/tex]  

[tex]45x=67.5[/tex]  

Divide both sides by 45.

[tex]x=1.5[/tex]  

Put x=1.5 in (i).

[tex]7(1.5)+2y=14.50[/tex]

[tex]10.50+2y=14.50[/tex]

[tex]2y=14.50-10.50[/tex]

[tex]2y=4[/tex]

Divide both sides by 2.

[tex]y=2[/tex]

Therefore, the cost of one hot dog is 1.5 and the cost of one hamburger is 2.

Answer:

the other person is correct

Step-by-step explanation:

i put in the answers and it’s correct

I need help on. This pls

Answers

Answer:

Your equation is y= 1/3x + 2

and your first point is (3,3) Hope this helps

Step-by-step explanation:

x-3y=-6

-x       -x

-3y=-x-6

--------------

      -3

y= 1/3x + 2

Answer:

y=1/3x+2 is your equation in slope intercept form

Step-by-step explanation:

on will be at (0,2) and the other would be at (3,3) then your next one would be  (6,4)

The vertex of y= 22 - 82 +18 is

Answers

the vertex to the equation is, (4,2)

Help solve equations by completing the square

Answers

[tex]x^2+10x+22=13\\x^2+10x+22-13=0\\x^2+10x+9=0\\[/tex]

Now completing the square.

[tex](x^2+10x)+9=0\\(x^2+10x+25)+9-25=0\\(x+5)^2-16=0\\(x+5)^2=16[/tex]

(x+5)² = 16 is the rewritten equation... For first question btw.

For the solutions to the equation -

[tex]x+5=\sqrt{16},-\sqrt{16} \\x+5=4,-4\\x=4-5,-4-5\\x=-1,-9[/tex]

x = -1,-9 is the solution, for the second question.

Fill in the blacks please! Due in 15 mins!

Answers

Answer:

The numbers in bold are the blanks.

Step-by-step explanation:

7/5 + 3/8 = 56/40 + 15/40 = 71/40

Answer:

1 31/40 or

71/40

Step-by-step explanation:

7/5+3/8=56/40+15/40=71/40=1 31/40

Jada's baby brother walked 3 feet, and
then half that length again.

Answers

Answer:

4.5 feet

Step-by-step explanation:

A rabbit is running at a speed of 45 miles per hour. How many feet is the rabbit traveling each second?

Answers

Answer:

66

Step-by-step explanation:

The rabbit is traveling 66 ft per second.

Given f(x) = 5(x + 1) + 16 , what is the value of x when f(x) = 1 ?

Answers

Answer:

x = -4

Step-by-step explanation:

1=5(x+1)+16

1=(5)(x)+(5)(1)+16 (Distribute)

1=5x+5+16

1=(5x)+(5+16)(Combine Like Terms)

1=5x+21

5x+21=1

5x+21−21=1−21

5x=−20

5x/5=−20/5

x=−4

Answer:

value of x is -4

Step-by-step explanation:

All you need to do is replace f(x) for 1.

1 = 5(x+1) + 16

backwards solve;

1 = 5x+5 +16

1=5x+21

1-21=5x

-20=5x

x=-4

That's all.

If it asks you if x=1, then just plug in 1 where ever x is. f(x) is symbolic of y.

Help me with math what is 36*36 Help me with math

Answers

Answer:

Step-by-step explanation:

36 times 36 is 1,296

1,296
................

What is the slope-intercept equation for the line below?

Answers

Answer:

where's the problem at like the work sheet?

A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2) What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)

Answers

Answer:

(0, 2) or C

Step-by-step explanation:

The solution to the system of linear equations is (0,2). The correct option is C.

What is a system of linear equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x) passes through the points at (-3, 0) and (0, 2).

Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).

Therefore, the solution to the system of linear equations is (0,2). The correct option is C.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ15

2x - 3-4(2x - 3) = 17 - 7x​

Answers

Answer:

x=8

Step-by-step explanation:

2x-3-4(2x-3)=17-7x

2x-3-8x+12=17-7x

-6x+9=17-7x

x= 8

WILL GIVE BRAINLIEST!!!!!!
If the trapezoid is isosceles, and KL = 2.8 units in length, what is the length of NM? Explain how you determined the length of NM.

Answers

Answer:

MN = 2.8 units

Step-by-step explanation:

By the property of isosceles trapezoid,

1). Bases are parallel.

2). Base angles of an isosceles trapezoid are congruent.

2). Opposite sides of the congruent angles are congruent.

By third property,

Measure of side KL = Measure of side MN

2.8 = Measure of side MN

Another way to find the length of MN is,

Distance between M and N = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

MN = [tex]\sqrt{(3-1)^2+(0+2)^2}[/tex] = [tex]\sqrt{8}[/tex]

MN = 2.8 units

Therefore, MN = 2.8 will be the answer.

Find the product of (5x+20) and the multiplicative inverse of 5.

Answers

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

Answer:

x+4

Step-by-step explanation:

This is because the multiplicative inverse of 5 is the reciprocal, or 1/5. This is then multiplied (distribution) to (5x+20), simplifying to x+4.

Bob’s soup uses 18 drops of chili oil for every 4 cups of chicken broth. Yvonne wants her soup to have a weaker chili flavor than Bob’s soup. Which mixture should Yvonne use? A 18 drops of chili oil for every 2 cups of chicken broth

B 18 drops of chili oil for every 5 cups of chicken broth

C 20 drops of chili oil for every 4 cups of chicken broth

D 22 drops of chili oil for every 4 cups of chicken broth

Answers

Answer:

Yvonne should pick mixture B which has a lesser concentration of chili oil.

Step-by-step explanation:

Bob's soup concentration = 18 drops / 4 cups = 9 drops / 2 cups = 4.5 drops/cup

A. 18 / 2 = 9 drops/cup which is a greater concentration

B. 18 / 5 = 3.6 drops/cup which is a lesser concentration

C. 20/ 4 = 5 drops/cup which is a greater concentration

D. 22/ 4 = 5.5 drops/cup which is a greater concentration

what is 10.7+ 2 times
30.9

Answers

Answer:

10.7 + 2 + 10.9 10.9 x 30.9 is 336.81

Step-by-step explanation:

BIG BRAIN POWER

Use the table to determine whether the relationship is proportional. If so, write an equation for the relationship. Tell what each variable you used represents.

HELP I ALREADY PUT THREE QUESTIONS ABT THIS NONE GOT ANSWERED

Answers

Answer:

3 is not 4 is proportional

Step-by-step explanation:

What is the solution to the equation 4(2-x)=5x-17

Answers

Answer:

x = 25/9 or 2.777777778

Step-by-step explanation:

4(2-x) = 5x - 17

8 - 4x = 5x - 17

   +4x   +4x

8 = 9x - 17

+17      +17

25 = 9x

25/9 = x

x = 2.777777778 or 25/9


ANSWER QUICKLY..

You have $90 and your brother has $120. You are saving $18 per week
and your brother is saving $15 per week. How many weeks will it take for
you and your brother to have the same amount of money saved? *
10 weeks
1 week
5 weeks
12 weeks

Answers

Answer:

10 weeks

Step-by-step explanation:

Let's set an equation for you and your brother.

You have $90 plus $18 for every week you save (x).

90+18x

And your brother has $120 plus $15 dollars per week that he saves (x)

120+15x

You want to have the sum of the money equal so combine the two concluded statements

90+18x=120+15x

Arrange them so that you have like terms on each side

90+18x-15x=12+15x-15x

90+3x=120

90-90+3x=120-90

3x=30

x=10

"x" is our number of weeks you and your brother save so the answer is 10 weeks

Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.

PLEASE HELP ASAP!!! IF YOU WANT BRAINLIEST DONT ANSWER GIBBERISH AND BE DESCRIPTIVE!!!

Answers

For the first one
Total to fish=8/3
Fish to starfish=3/5
Starfish to total=5/8
starfish to fish=5/3

Answer:

i dont know but i need brainliest can you still do it plz

Step-by-step explanation:

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