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

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1

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(X) = (x + 3) 2.1.-6 12 46 68

Please help

What is the fraction in decimal form?

7/5

Enter your answer in the box.

Answers

The answer of 7/5 as a decimal is 1.4

Answer:

1.4

Step-by-step explanation:

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A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.

Answers

Answer:

A

Step-by-step explanation:

The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!

The sum of the speeds of two trains is 717.4 miles per hour. If the speed of the first train is 4.6 miles per hour faster than that of the second train, find the speed of each

Answers

Answer:

The second train speed is 356.4 miles per hour

And, the first train speed is  361 miles per hour

Step-by-step explanation:

The computation of the speed of each train is as follows

Given that

The Sum of the speed of two trains is 717.4 miles per hour

Let us suppose the second train speed be x

So for the first train, the speed is x + 4.6

Now the equation is

x + x + 4.6 = 717.4

2x + 4.6 = 717.4

2x = 717.4 - 4.6

2x = 712.8

x= 356.4

Therefore the second train speed is 356.4 miles per hour

And, the first train speed is = 356.4 + 4.6 = 361 miles per hour

There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?


Please help

Answers

I believe it is 7 kids who like cats.

There are 5 1/4 yards of silk in a roll. If it takes 3/4 of a yard to make one designer scarf, how many scarves can be made from the roll?​

Answers

so you do 5 1/4 minus 3/4 and then you get your awnser

Is 9.78778777... a rational or irrational number?

Answers

The answer is - Irrational

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

What are rational and irrational numbers?

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

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Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?



Type the numerical answer only

Answers

The correct anwser is 200

Hi! Solve for x and y.

Answers

Answer: 14x -8= -112

Step-by-step explanation:

What is the decimal multiplier to decrease by 2.7%?

Answers

Answer:

2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.

Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form

Answers

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

u+3.65=8.33 solve for u.

Answers

Answer:

Use an algebra calculator ;)

Step-by-step explanation:

it always works for me

Answer: u =4.68

Step-by-step  explanation:Move all terms not containing  u to the right side of the equation

a gas tank holds 13 1/2 gallons when it is 3/4 full. how many gallons of gas does the tank hold when it is completely full? I need the answers​

Answers

1/4 = 18

Or

Answer = 31.5

Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)

Answers

Answer:

The correct answer is (2,1)

Step-by-step explanation:

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

What are the distance, midpoint, and slope  between two points?

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

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If airpane flies at an average speed of 7.5miles per minutes in 1 1/2 hours it will have flown

Answers

it will have flown 675 miles in 1 1/2 hours

mark me brainliest if the answer is correct, thank you in advance :)

Answer:

The plane will have traveled 675 miles in 1 1/2 hours.

Step-by-step explanation:

Ok so there are 90 minutes in 1.5 hours and since it travels 7.5 miles per minute to get the total: 7.5*90=675.

Choose the correct solution for this equation X/2-12 = 24

Answers

Answer:

Your answer would be x = -240

Step-by-step explanation:

1. First do 2-12 to get a denominator of -10.

2. Multiply -10 on both sides to get x = 24 * -10

3. Solve 24 * - 10 to get x = -240

What is the value of k?
k=
m
Done
Intro
DOOODDOOO

Answers

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

All of the triangles are similar, so the ratio of short side to long side is the same for all.

  4/8 = k/4

  k = 16/8 = 2 . . . . multiply by 4 and simplify

The value of k is 2.

_____

Additional comment

By similar reasoning or by the Pythagorean theorem, ...

  l = √20 = 2√5

  m = √80 = 4√5

PLEASE HELP PIC DOWN BELOW 8th GRADE MATH

Answers

Answer:

A) 1/5 * 10

Step-by-step explanation:

1/5 / 1/10 = Time it will take to fill up

=> 1/5 * 10 = Time it will take to fill up

=> 1*2 = Time it will take to fill up

=> 2 = Time it will take to fill up

If my answer helped, kindly mark me as the brainliest!!

Thanks !!

In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?

Answers

Answer:

150 degrees

Step-by-step explanation:

180-20-10

Answer:

10 degrees

Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.

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Answers

Answer: should be the last answer! to the right.

Step-by-step explanation:

You have 30 coins and the d are dimes and q are quarters

There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?

Answers

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

i just did it on Edg. i hope this was helpful

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

1/3x + 2y =4 x + y =-3

Answers

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3

Answers

Answer:

im pretty sure every angle is 80 degrees

Step-by-step explanation:

this is my first day in brainly, so im soo sorry if im wrong

HELP ASAP!!

the questions are in the picture​

Answers

Answer:

1. Y≤2x-4

2. Yes, since its a solid line it includes points on the line

Step-by-step explanation:

Answer: y [tex]\leq[/tex] 2x - 4

Formula is   y = mx + b

m is the slope and b is the y-intercept.

Yes its a solution because the line passes through the point (2,0).

Mark me brainllest :D

Write the equation for each graph below.

Answers

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

Find the shortest distance from point A to the given line.

y = 3x +1 ; A (3,0)

What is the shortest distance from point A to the line?

Answers

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.

a. calculate the amount Scott spends each month on groceries

b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)

help plss

Answers

Answer:  i don’t know  this anwser but pls give me points I’m sure another person will give u something

Step-by-step explanation:

Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?

Answers

Answer:

she needs 6 containers.

Step-by-step explanation:

1 pound goes into each container. 6/1=6 so she needs 6 containers.

Put the following numbers in order from least to greatest.



1/4 1/8 1/2

Answers

Answer:

1/8 1/4 1/2

Step-by-step explanation:

i hope it will help you

Step-by-step explanation:

1\8 1\4 1 \2

Which expression is equivalent to (+12)×5+7 ?

A. 12+60

B. 12+12

C. 5+67

D. 5+12

Answers

B

(12)x5 + 7
\ /
12 + 12
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