Use the diagram above. Is AB congruent to DE? To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result? Why?

Answers

Answer 1

Answer:

(a) Segments AB and De are not congruent since their lengths are not equal.

(b) Yes, you get the same result. In both cases you must take the absolute value of the difference of the coordinates giving you the same result no matter in which order you subtract the coordinates of the points.

Step-by-step explanation:

(a)

To find the distance between any two points on the number line, take the absolute value of the difference of the coordinates of the points.

The coordinate of point P is p. The coordinate of point Q is q. PQ or QP, the distance between points P and Q, is:

PQ = QP = |p - q| = |q - p|

It does not make a difference in which order you find the diffeence of the coordinates.

Look at points A and B.

Point A has coordinate -2.

Point B has coordinate 3.

AB = |-2 - 3| = |-5| = 5

Now look at points D and E.

Point D has coordinate 10.

Point E has coordinate 14.

DE = |10 - 14| = |-4| = 4

AB = 5; DE = 4

Answer: The lengths of segments AB and DE are not equal, so the segments are not congruent.

(b)

The coordinate of point A is -2.

The coordinate of point C is 5.

AC = |-2 - 5| = |-7| = 7

If you subtract -2 from 5, and then take the absolute value, you get:

AC = |5 - (-2)| = |5 + 2| = |7| = 7

Again you get 7. The order in which you subtract the coordinates of the points does not affect the result since you take the absolute value of the difference in both cases.

AC =

Related Questions

HELP NEEDED!!!!!!
Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .

Answers

Answer:

Step-by-step explanation:

y=kx

7/4=1.75

6/4=1.5

The equation in the form y =kx will be as y = 7/4 x .

What are Proportional?

Proportional the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:;

y=k.x

For the given problem, y represents the cups of water needed for making x loaves of French bread.

We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;

7=k.4

Solving for k:

k = 7/4

The equation to model the problem;

y = 7/4 x

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

3.41 - 1.74
Show your work

Answers

Answer:

1.67

Step-by-step explanation:

3.41

1.74

1.67

1. Make 1, 11 (make 4, 3)

2. Subtract 11 and 4, you get 7

3. Make 3, 13 (make 3,2)

4. Subtract 13 and 7, you get 6

5. Subtract 2 and 1, you get 1

6. You answer is 1.67

mary bought a blouse and a pair of jeans for 38.50 if jeans cost 12.50 more then the blouse how much did she pay for the jeans

Answers

Answer:

Blouse = $13.00

Jeans = $25.50

Step-by-step explanation:

x = blouse

y = jeans

x + y = 38.5

y = x + 12.5

Use substitution:

x + x + 12.5 = 38.5

2x = 26

x = 13

Blouse = $13.00

Jeans = $25.50

The price of Blouse is $13.00 and price of Jeans is $25.50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x represents the price of blouse and y represents the price of jeans.

mary bought a blouse and a pair of jeans for 38.50

x+y=38.5

jeans cost 12.50 more then the blouse

y=12.5+x

We need to find the price of jeans.

Substitute y value in above equation.

x + x + 12.5 = 38.5

Add the like terms

2x+12.5 = 38.5

Subtract 12.5 on both sides

2x = 26

Divide both sides by 2

x = 13

Hence, the price of Blouse is $13.00 and price of Jeans is $25.50.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Which is greater, 12/17 or 5/8?

Answers

Answer:

5/8

Step-by-step explanation:

12/17 is 0.70

5/8 is 0.62

However, 12/17 had a lot more numbers than that so

TRUST ME I GOT EXCEPTED INTO HARVARD

Answer:

12/17 is greater

Step-by-step explanation:

12/17 is greater than 5/8 because to determine which fraction is greater you need to have the same denominator. To get the same denominator I multiplied 17 by 8 and 8 by 17. Since what you do the denominator you have to do the same to the numerator, you would multiply 12 by 8 and 5 by 17 which would lead you to get 12/17= 96/136 and 5/8= 85/136. So, 96/136 > 85/136.

In which situation is the distance traveled proportional to time?

A. An airplane landing

B. A soccer ball you kick across a field

C. A person running on a treadmill at 3 mph for 6 minutes

D. A 3-minute ride on a roller coaster

Answers

Answer:

Step-by-step explanation:

Given f(x) = 7x − 2 , what is the value of f(2) ?

Answers

Answer:

7(2)-2

=14-2

Which makes it

=12

Write a positive or negative integer that represents the situation.

An airplane climbs to 37,500 feet.

Answers

Positive 37,000 feet.

Step-by-step explanation:

Please, this is due tomorrow!!! Boyle's Law in chemistry states that when the temperature is constant, the pressure of a gas is inversely proportional to its volume. Let p represent the pressure, and let V represent the volume of the gas. At a certain temperature, V = constant/p. By what factor does the volume of the gas change if the pressure changes by each given factor?
a. 2
b. 3
c. 4
d. 5

Answers

Cuñada mela uva dulula

Topic 2
SEQUENCES
B. Determine the next 3 terms in each arithmetic sequence
8, 14, 20, 26,

Answers

Answer:

The next three term in the arithmetic sequence is 32, 38, and 44

Step-by-step explanation:

The arithmetic sequence is add 6.

5x-4 ≥12 or 12x+5 ≤-4

225 mL

75/x = 3/1 g/mL

Answer:

25 mL

Step-by-step explanation:

m/D=V

75g/3 g/mL = V

25mL =V

Hi :) how to do part 4?

Answers

Answer:

15(iv) 68 units²

Step-by-step explanation:

Please see the attached picture for full solution. (Pictures 1 &2)

*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)

SOMEBODY HELP!

MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK

Label each of the parts: terms, like terms, coefficients, and constant
terms.

9 + 7y - 2 - 5y

Answers

Answer:

= 7 + 2y.

Step-by-step explanation:

Collect like terms.

(9 − 2 ) + (7y − 5y )

Simplify.

= 7 + 2y.

Hope this helps.

Have a good night ma'am/sir.

Be safe!

Write the equation of the line slope-intercept form that is parallel to y=-2x-9 and contains (4,-3)
A. y=-2x-11
B. y=-2x+5
C. y=-2x+11
D. y=-2x-11

Answers

Answer:

Step-by-step explanation:

This Equation has only one solution 5(x-1) +3x = 7(x + 1) its an emergancy

Answers

Answer:

Step-by-step explanation:

5(x-1) +3x = 7(x + 1)

5 × x - 5×1 + 3x = 7 × x + 7 × 1

5x-5+3x=7x+7

8x-5=7x+7

8x-7x=7+5

x=12

hope it helps you!!

Lily cleans 3 houses in 7.5 hours. If she works 8-hour days for 7 days (with no breaks), how many houses could she clean?

Answers

Answer:

About 21 houses in 7 days

Step-by-step explanation:

At the beginning of the season, Jamie pays full price for a ticket to see the panthers, her favorite basketball team. The panthers currently have 33 wins and 31 losses. Represent the total change in the cost of a ticket given their losses. What is the cost of a ticket for the next game they play

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that the price of the ticket at the beginning of the season is $49.64 and the ticket price decrease by $0.41 for every loss

a) The cost of the ticket decreases by $0.41 for every game loss, therefore after 31 losses, the change in cost of ticket is given as:

Change in cost = -$0.41 × number of losses = -$0.41 × 31 = -$12.71

b) The cost of a ticket for the next game given they have 31 losses is:

Cost of ticket = Initial cost of ticket + change in cost = $49.64 - $12.71 = $36.93

What is the mistake??

Answers

There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number

Answer:

The mistake was converting the expresssion

Step-by-step explanation:

what is (x+3)(x-3)(3x+2) expanded and simplified

Answer:

x²-11x+24

(x -8) * (x -3) =0

x = 8 and x =3

Step-by-step explanation:

what expression is equivalent to 6(3+0.5)

A.6(3)+0.05
B.(6+3)+(6+0.5)
C.6(3)+6(0.05)
D.6(3)x6(0.05)

Answers

the answer is d , i did the math

if B is the midpoint of AC, and AC = 8x-20, find BC

3X-1

Answers

Answer: 26
3(9)-1= 26
Solving steps for x:

Alyssa's company makes a profit of $175,000.
The company then experiences a loss of
$25,000 each month for the next five months.
Which expression represents the net profit
after five months?

Answers

So the initial profit is 175000
If it falls by 25000 per month, this is 25000m
175000-25000m
(Insert the 5)
175000-25000(5)= 50,000

So the net profit after 5 months is $50,000

Hope this helps!

PLEASE HELP ASAP 20 points possible

Answers

Answer: 123

Step-by-step explanation:

60+63=123

180-123=57

180-57=123

Answer:

123°

Step-by-step explanation:

Subtract the measures of the given interior angles from 180 to find the measure of the missing interior angle

180 - 60 - 63 = 57°

Subtract 57 from 180 to find the measure of the external angle/angle 1.

180 - 57 = 123°

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Use the diagram above. Is AB congruent to DE?￼ To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result￼? Why?

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Use the diagram above. Is AB congruent to DE? To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result? Why?