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.

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

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

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.

Learn more about parallel lines here:

https://brainly.com/question/13857011

#SPJ5

Your friend says that there is an angle whose measure is the same as the measure of the sum of its supplement and its complement.

Is your friend correct? What is the measure of the angle?

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Criss cross algebra
Question : what is =
7/3 = N/21

Eleanor was looking to save money and make her home more energy efficient. She heard about LED
light bulbs but wanted to calculate the actual cost per year before buying them. Eleanor found that
incandescent bulbs cost $0.01 per hour in electricity, while LED's cost $0.0022 per hour. If the average
home has 65 light bulbs and has their lights on for 4 hours per day, what is the savings for 1 year for
Eleanor to switch all of her light bulbs to LED's?

Study the steps used to solve the equation

Given - 5 = 7

Choose the property that justifies each step of the

solution

Step 1 - 5 + 5 = 7 + 5

2

Step 2

+ 0 = 12

ulu olov ulu un

<

Step 1:

Step 2:

Step 3:

Step 4.

= 12

<<

Step 3: Ž=

Step 4:2 (1) = 12(2)

Step 5: c = 24

Which of these functions could have the graph shown below?​

A worker takes 1 day to fill 4 crates how long will it take to fill 160 crates

Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work?

This equation represents the data:

2.5(12.75x + 24.50) = 188.75

Big Time Movers worked
hours on New Year’s Day.

Which inequality is represented by this graph?

Find the distance between the points -6.2 and -9.8.Show your work for full credit.

HELP! will mark branniest answer!

The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

What is the value of x in the equation below?
-3-(-8)-(-2)= X
-13
3
ОО

Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop

The height, hh, of a plant (in inches) ww weeks since it was planted is represented by the equation h=1.2w+3h=1.2w+3. How many weeks ( round up to the nearest whole number) will it take the plant to reach one foot? ( Hint: convert feet to inches.) Answer value

Mr. Shaw graphs the function f(x) = -5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope
form of the equation of the line he graphed?
Oy - 12 = -5(x + 2)
Oy - 12 = 2(x + 2)
O y + 12 = 2(x - 2)
O y + 12 = -5(x - 2)

A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2

What is the rate of change of the function represented by the table​

Mike has a $1750 credit card balance. His father wants to help. He pays off ¼ of Mike’s debt. Write an expression to represent Mike’s new balance.

Which of the following lines is perpendicular to the equation given below?

y = -2x + 8


2x + y = 4
2x + y = 4

x - 2y = 6
x - 2y = 6

2x - y = 1
2x - y = 1

x + 2y = 8

help me plzzzzzzzzzzzzzzzzzzzzz

CAN SOMEONE HELP!!! plssss

slope (M)= rise/run=y/x=(y2-y1)/(x2-x1)
1a. (1,2) and (7,9)
1b. (5,-1) and (0,3)
1c. (12,5) and (9,8)

if y=28 when x=168, find y when x=108.

convert .932 into a fraction

Please help if you can!! I would appreciate it alot!



People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Please help me, I have too many points and willing to give more than the lowest away.

-6 - 13
I don’t get it can someone explain?

PLEASE HELP!! DUE SOON

A skydiver falls 60 feet in five seconds. How far does the skydiver fall per
Second