Question 3

What condition is necessary for AE and BF to be equal? In this situation, what is the relationship between AB and CD? What can you conclude

about parallel lines with regard to the distance between them? Use the word perpendicular in your answer.

Answers

Answer 1

Answer:

In order for line AE to equal line BF, m/DFB and m/CEA must both be 90°. When this occurs, line AB does not intersect line EF: the two lines are parallel. line AE and line BF represent the perpendicular distances between line AB and line CD. When the two lines are parallel, the perpendicular distance between them is the same throughout their length.

Step-by-step explanation:

Plato Sample Question

Answer 2

When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

In order for line AE to equal line BF, Angle DFB and Angle CEA must both be 90°.

When this occurs, line AB does not intersect line EF then the two lines are parallel.

Thus the line AE and line BF represent the perpendicular distances between line AB and line CD.

When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.

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Related Questions

please help! i will give brainliest!

Answers

Answer:

B represents 9. The opposite would be -9

Step-by-step explanation:

express the following in word form 11.03

Answers

Answer:

eleven and three hundredths.

Step-by-step explanation:

2. What is the midpoint of (5,3) and (-3,-7)?

Answers

Answer: (1,-2)

Step-by-step explanation: 5+-3 equals 2. 2 divided by 2 is 1 (one of the midpoints) and 3+-7 equals -4. -4 divided by 2 is -2.

The sum of two consecutive numbers is 63. Find the two numbers.

Answers

Answer:

the two numbers are 31 and 32.

Step-by-step explanation:

x+(x+1)=63

2x+1=63

2x=62

x=31

The answers are 31 and 32

The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get

x + x+1 = 63

Simpifying, you get

2x+1 = 63

Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.

2x=62

Lastly, you need to divide both sides by 2, making making the equation

x=31

The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.

i’m having trouble with these problems #2 and #3

Answers

2) 25x^6+40x^3+16
3)8x^3–14x^2–27x—9

Answer:

Im not 100% sure but the answer is 25x^6+40x^3+16

Step-by-step explanation:

(5^3+4)^2

(5x^{3}+4)^{2}

(5x3+4)2

(5^3+4)(5^3+4)

5(5x^3+4) *x^3+4(5x^3+4)

5(53+4)⋅3+4(53+4)+4(5x^{3}+4)

5(5x3+4)⋅x3+4(5x3+4)256+203+4(53+4)

Overall the answer is 25x^6+40x^3+16

WILL MARK YOU BRAINLIEST

Answers

Answer 33

Step-by-step explanation:

A triangle’s angles will add to 180
(2x-33)+(2x+15)+2x=180

Add like terms
6x-18=180

Isolate the X
6x =198
x=33

Check answer
2(33)= 66
2(33)+15= 81
2(33)-33 =33
66+81+33=180
x=33

Can someone help me with number 12 ASAP please

Answers

Answer:

[tex]x > 1[/tex]

x is greater than 1

Kate is x years old
Latham is 3 times as old as Kate
Mike is 4 yrs older then lethina

Write down an expression in terms of x , for mikes age
Full working out

Answers

Answer:

I think is 1x+3x=4 and then solve it if you have to

Subtracting is the same as blank the blank

Answers

Answer:

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

Step-by-step explanation:

BRAINLIST AND 40 POINTS PLEASE HELP ASAP NO ONE IS HELPING:(
#1 Which equation represents a direct variation? *
Output = Input x 8 + 2
Output = Input x 5
Output = Input x 3 + 1
Output = Input x 6 + 4

#2 Which equation represents a partial variation? *
Output = Input x 3
Output = Input x 6
Output = Input x 2 + 5
Output = Input x 9

Answers

Answer:

for #1 its B : output = input x5

and for #2 its C : output= input x2 +5

In an arithmetic sequence, the first term is -8 and the sun of the first 20 term is 790. Find the common difference

Answers

Answer:

a=-8,s20=790

Step-by-step explanation:

s20=10[-16+19xd]

790/10=-16+19d

79+16=19d

85=19d

d=85/19=5

The common difference of the given arithmetic sequence is 5.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given that,

First term a₁ = -8

Sum of first 20 terms = 790

Sum of the first N term is given by ;

⇒ N/2[2a + (n - 1)d]

So,

20/2[2(-8) + (20 - 1)d] = 790

10[-16 + 19d] = 790

19d - 16 = 79

19d = 95

d = 5

Hence "The common difference of the given arithmetic sequence is 5".

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Solve for p

-5(p+3/5)=-4

Answers

Answer: I think this is right

Step-by-step explanation:

You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.


I have till 2 and I need help

Answers

Answer:

(12 * 4) + 4x / 4

Step-by-step explanation:

Turn this improper fraction 88/-7 into a mixed number.​

Answers

Answer:

-12 whole number, 4/7 (Mixed number)

Step-by-step explanation:

88/-7 = Improper fraction

Required to turn into mixed number

= 88 ÷ -7

= (-12 & remainder 4) / 7

= -12 (4/7)

= -12 whole number, 4/7 (Mixed number)

Samuel orders four DVDs from an online music store. Each DVD costs $10. He has 20% discount code, and sales tax is 8%. What is the total cost of his order?

Answers

Answer: calculator

Step-by-step explanation:

2.16$

Dinosaurs are usually carnivores so they eat meat. I had 33 loads sea weed and I had diarrhea for 12 days! - ur welcome

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish. Order the tanks by volume per fish from least to greatest.

I will mark the first person who gets this right as Brainliest.

Answers

Answer:C A B

Step-by-step explanation:A:40 divided by 5=8 B:100 divided by 12 =8.33 C:180 divided by 23=7.83

Point U is on line segment
TV
. Given TV=8 TU=2, determine the length uv
.

Answers

Answer:

Step-by-step explanation:

TV = VU + TU

Subsitute.

8 = VU + 2

-2         -2

VU = 6

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,

TV = TU + UV

As given the length of TV is 8 units, the length of TU is 2 units,

8 units = 2 units + UV

8 units - 2 units = UV

UV = 6 units

Hence, the length of the line segment UV is 6 units.

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please help me out!!!

Answers

I believe is D :) !!!!!!!!!!!!

Consider the sequence 4,3,2,1, ... what is the f (4)

Answers

F(4) equals to 1 because it’s the 4th number in the sequence

1001
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60
70 80 90 100

Answers

Answer:

1001

Step-by-step explanation:

Answer:

1001 (A)

Step-by-step explanation:

Solve for a.

ab + c = d

a. a = b/(c-d)
b. a = (d-c)/b
c. a = b + c/d

Answers

Answer:

B

Step-by-step explanation:

Answer:

B is the best answer

Step-by-step explanation:

Find three rational numbers between 1/2 and 2/3

Answers

Answer:0.51, 0.52, 0.53

Step-by-step explanation:

Answer:

1/3,1/4 and 2/3

Step-by-step explanation:

A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18

Answers

Answer:

C

Step-by-step explanation:

how to know the equation and solve it?​

Answers

Answer:

i added all the values because the total angle of the interior triangle should give 180 °.

Solve 5x - 6 = 3(x - 1)

Answers

X=3/2, hope this helps

Answer:

3/2 or 1.5

Step-by-step explanation:

5x-6 =3(x-1)

= 5x-6= 3x-3

-3x -3x

= 2x-6= -3

+6 +6

2x= 3

divide by 2

x = 3/2

Hope this helps!

PLEAS HELP ONE MORE QUESTION AFTER PLEASE HELP!!! ASAP ILL GIVE BRAINLY

Answers

The answer is 25.
Divide 18 by 9 you get 2.
Take that same 2 and divide it by 50 and you get 25

Answer:

I think it might be 18

sorry if it is wrong

LA = 5x -5
B = 3 + 13
B
Solve for r and then find the measure of B:

Answers

Answer:

x = 9º

∠B = 40º

Step-by-step explanation:

5x-5º = 3x+13º

[add 5 to both sides]

5x = 3x+18º

[subtract 3x from both sides]

2x = 18º

[divide each side by 2]

x = 9º

/ / / / / / / / / / / / / / / / / / /

3x+13º = 3(9º)+13º=27º+13º = 40º

Find two posiitive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer.

Answers

Answer:

The two numbers are 4 and 6

Step-by-step explanation:

Suppose we have:

x=The smallest even integer

x+2=Next even integer

Recall even numbers occur every other integer.

The condition of the problem states the square of the smaller integer is 10 more than the longer integer:

[tex]x^2=10+x+2[/tex]

Rearranging and simplifying:

[tex]x^2-x-12=0[/tex]

Factoring:

[tex](x-4)(x+3)=0[/tex]

We have two solutions:

x=4, x=-3

Since the integers must be positive:

x=4

Next even integer= x+2=6

The two numbers are 4 and 6

HELP ME IF RIGHT MARK BRAINLY

Answers

Answer:

A. m+7n+14

Step-by-step explanation:

Add parenthesis to help simplify.

(5m-4m)+(22-8)+7n

Simplify the expression.

m+7n+14

Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200

Answers

Answer:

It would be 2,000x+200

Step-by-step explanation:

okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.

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