Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are

Which Statement Best Explains The Relationship Betweenlines AB And CD?O They Are Parallel Because Their

Answers

Answer 1

Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

x1 = -4 and y1 = -2

x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

The slope of line AB is  [tex]\frac{3}{4}[/tex]

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

x1 = 0 and y1 = -3

x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]

The slope of line CD is  [tex]\frac{3}{4}[/tex]

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

Answer 2

Answer:

a. they are parallel because their slopes are equal

Step-by-step explanation:

did the review on edge


Related Questions

Need help asap not really good with these types of questions

Answers

Step-by-step explanation:

AC = AD result : given (Side congruence)

CB = DB result: given (Side congruence)

AB =AB result : reflexive property (side congruence)

ACB=ADB (SSS)

help meeee fbdgnxfgdrgfsjrtsjg they needed extra characters

Answers

Answer:

The cost of the new item is $72

Step-by-step explanation:

You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25

Now multiply 0.25 by the original cost of the item which is 96.

If you think about 0.25 as 1/4, because 25 is 1/4 of 100.

You will get 24, this is how much money is taken off of the original price.

So some easy subtraction: 96-24=72.

Now you have the new cost of the item

PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!

Answers

Answer:

B : y − 3 = 2/3 ⋅ ( x − 3 )

Step-by-step explanation:

Answer:

B, but if I am only 95 percent sure.

Step-by-step explanation:

3 + 0.1 + 0.006 in a decimal and in word form plz help​

Answers

Answer:

decimal form: 3.106

word form:   3 and one hundred and 6 thousandths

Step-by-step explanation:

Answer:

Decimal form:

3.106

Word form:

Three and one hundred six thousandths.

Step-by-step explanation:

Add.
92 +53
Enter the correct answer in the box.

Answers

Answer:

145

Step-by-step explanation:

14.)A baseball team play 34 games in their season. If they won 55% of the
games they played how many did they win

Answers

They won 18.7 or 19 games if rounded up

6. Solve the equation: (c+3)−2c−(1−3c) = 2



a. c=−1 b. c=1 c. c=0 d. c=4

Answers

Answer:

C- C=0

Step-by-step explanation:

convert -0.0647 to Scientific Notation

Answers

Answer:

6.47  x  10^-2

Step-by-step explanation:

Answer: -6.47 × 10^-2

Step-by-step explanation:

move the decimal 2 places to the right

If the scientific notation is 3.042x10^2 what would it looked like in standard form? please help.

Answers

Answer:

Convert to scientific notation. 1.) 2,800 2.8*10%. 2.) 742,00p, 7.42 x 105. 3. ... When translating scientific notation to standard form, you need to decide which way to move the decimal point. If the exponent is negative, you move the decimal point to the. -left ... We should move the decimal point 3 places to the left.

Step-by-step explanation:

Answer:

304.2

Step-by-step explanation:

3.042 * 100 = 304.2

numbers with a sum of 1

Answers

Answer:

0.5 + 0.5, 0 + 1, 0.6 + 0.4, etc etc

Step-by-step explanation:

0.5 and 0 are 2 of them I think

What is the slope of this line?

Answers

Answer:

-3/2

Step-by-step explanation:

you can use the rise over run method to find the slope of this line

please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the answer is 15

since the triangle is a 90 degree triangle by the square

Answer:

no problem the answer is 15

someone answer please:)
I think its saying to find out what “b” means

Answers

Answer:

5 kdkdjdnndndjdjdjdjd

the answer is 5 because 13 squared minus 12 squared is 25. then 25 squared is 5

Which equation has no solution? Select all that apply.
A 15 - 3x = 5(x + 4) - 8x
B) 2(x - 7) = 2x – 10
C) -2 - 2x = 6(2x + 2)
D) 24x – 22 = -4(1 - 6x)​

Answers

Answer:

I think it is C

Step-by-step explanation:

Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes of an hour to fill the tank. At this rate, how many holding tanks will she fill in 1 hour?
A.
of a tank
B.
of a tank
C.
of a tank
D.
tanks

Answers

A of a tank would be the answer

6 Rebecca burns an average of 210 calories in 35 minutes of ballet.
Part A
How many calories does Rebecca burn per minute?
Show your work.
Rebecca burns 6 calories per minute.
Part B
Which equation models howmany calories, c, Rebecca burns in m minutes?
A
B
210c=
35/m
35m
C
DC6m
Part C
Does Rebecca burn more than 400 calories per hour? Explain.
c
6cm

Answers

Answer:

c=6m because if you divide it normally with no letters it will be she burns 6 calories per minute

the city of Picayune has set aside $900,000 to build a new water tower in the shape of a cylinder. If the price per cubic foot is $10.50, what is the largest measure for the radius and height of the cylinder in order to not exceed the budget?

Answers

Answer:

So as not to exceed the budget, where π = 22/7, we have;

The radius = 10 ft and the height = 3/11 ft

For standard 40 ft. height, the radius is approximately 0.8259 ft

Step-by-step explanation:

The amount set aside for the water tower = $900,000

The price (amount) per cubic foot = $10.50

Therefore, we have;

[tex]The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{The \ amount \ set aside \ for \ the \ water \ tower}{The \ price \ (amount) \ per \ cubic \ foot }[/tex]

[tex]\therefore The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{\$ 900,000}{\$10.50/ft\\ ^3} = \dfrac{600}{7} ft.^3 = 85 \frac{5}{7} ft^3[/tex]

Whereby the height of a standard water tower = 40 ft., we have;

The shape of the water tower = The shape of the water tower

∴ The volume of the water tower V = π × r² × h

Where;

r = The radius of the water tower

h = The height of the water tower

Taking π = 22/7

600/7  = 22/7 × r² × h

r² × h = 600/7/(22/7)  ≈ 300/11 = 100 × 3/11

Solving to get exact dimensions so as to not exceed the budget, we have;

r² × h = 100 × 3/11 = 10 × 10 × 3/11

Therefore, the radius can be 10 ft. and the height = 3/11 ft.

Or for standard 40 ft. height, we have;

r² = 600/7/(π × 40)

r ≈ 0.8259 ft.

Can anyone help me with this for some reason I can’t get my head round it

Answers

Every yeat Mikes car value is going down 30% so in 2017 it would be £4116

Answer:

4116

Step-by-step explanation:

12000÷100=120 2015

120×70=8400

8400÷100=84 2016

84×70=5880

5880÷100=58.8 2017

58.8×70=4116

I need help!!!!
Answer:
A. 1.50 dollars per kilogram
B. 1.80 dollars per kilogram.
C. 2.10 dollars per kilogram
D. 2.40 dollars per
kilogram.

Answers

Answer:

The average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Step-by-step explanation:

From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.

The price of 100 kg cumin = $450

The price of 600 kg cumin = $1650

so

at x₁ = 100, f(x₁) = 450

at x₂ = 600,  f(x₂) = 1650

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [1650 - 450] / [600-100]

                      = 1200 / 500

                      = 2.4

Therefore, the average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Determine which situation could be represented by the system of linear equations given below

Answers

The answer is
56x-(23y)^9/3 = 42

117. State whether the answer is greater than i or less than ​

Answers

Hope this might help u

Answer:

1) greater than

2) less than

3) greater than

4)less than

5) greater than

6) greater than

Step-by-step explanation:

Find two consecutive whole numbers that the square root of 85 lies between.

Answers

9514 1404 393

Answer:

  9, 10

Step-by-step explanation:

It helps if you're familiar with the squares of small integers.

  9^2 = 81

  (√85)^2 = 85

  10^2 = 100

The square root of 85 lies between 9 and 10.

_____

Of course, you can find this answer using your calculator:

  √85 ≈ 9.2195, a number between 9 and 10

Solve this equation for x by graphing.
-4x - 1 = 5^x + 4
Please help! Asap

Answers

Answer:

-1.28

Step-by-step explanation:

You would put these two equations into a graphing ccalculator:

y = -4x - 1

and

y= 5^x + 4

Wherver they intersect is your answer.

These two happen to intersect at (-1.28,4.13)

Since the equation has x-values, you would give the first number (x-coordinate) as your answer.

 

How many 8ths of an inch are there in 3/4

Answers

Answer:One-half names the same number as two-quarter or as three sixths  or as four-eights . Three-fourths  is equal to six-eighths because they are different ways of expressing the same number.

Step-by-step explanation:

Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.

Answers

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

answer both and i will give you branliest

Answers

I think is 24 and 28

Hope this helps

A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?​

Answers

Answer: 0.007%

you divide 56% by 8,000 and you get 0.00007

then you multiply it by 100 and you get 0.007

so its 0.007%

what is the sample space for the suits of a standard 52-card deck of cards?​

Answers

Answer:

lo siento tanto pero necesito los puntos:(

Step-by-step explanation:

A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?

60

40

20

140

Answers

Answer:

Ok well it’s obviously not 140 Bc that’s more Doctors than they had to start and it isn’t 20, it’s not 40, so it’s 60.

Step-by-step explanation:

Also if you do 100/5 you get 20 and 5-2 is 3 so 20 times 3 is 60 so yeah

three times the sum of n and four is twelve. write an equation or inequality.​

Answers

9514 1404 393

Answer:

  3(n+4) = 12

Step-by-step explanation:

The sum of n and 4 is (n+4). Three times that sum is 3(n+4). When we say it "is 12", we mean it is equal to 12.

  3(n +4) = 12

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