how do i prove am + am = AB

How Do I Prove Am + Am = AB

Answers

Answer 1

Statement 1: AM is the midpoint of AB

Reason 1: Given

=====================================

Statement 2: AM+MB = AB

Reason 2: Segment Addition Postulate

Further explanation: Basically this idea is where you can break up the line segment into smaller pieces, or glue smaller segments to form a larger segment.

=====================================

Statement 3: AM = MB

Reason 3: Definition of midpoint

Further explanation: The midpoint cuts a line segment in half. The two smaller pieces AM and MB are congruent (ie equal in length)

=====================================

Statement 4: AM + AM = AB

Reason 4: Substitution

Further explanation: We replace the MB in statement 2 with AM. This replacement is possible because of the equation AM = MB in statement 3.

This concludes the proof.


Related Questions

to mail a cardboard box, you measure its size and mass. It is 55cm long , 25cm wide and 20 cm high. The mass of the box is 4kg. What is the density of the boxes in grams over cm squared

Answers

Answer:

Density is usually expressed as grams per cubic centimeter.

Volume = 55 * 25 * 20 = 27,500 cc

Density = Mass / Volume = 4,000 grams / 27,500 cc

= 0.1454545455 grams/cc

which is an extremely low density


Step-by-step explanation:


Final answer:

The density of the box is found by dividing its mass (4000 grams) by its volume (27500 cubic centimeters), resulting in a density of approximately 0.1455 grams per cubic centimeter.

Explanation:

To calculate the density of the box, you must find the mass per unit volume. The mass given is 4 kg, which is equivalent to 4000 grams since 1 kg = 1000 grams. To find the volume, multiply the length by the width by the height of the box:

Volume = Length × Width × Height = 55 cm × 25 cm × 20 cm = 27500 cm³

Now, divide the mass of the box by the volume to get the density:

Density = Mass / Volume = 4000 g / 27500 cm³ ≈ 0.1455 g/cm³

Therefore, the density of the box is approximately 0.1455 grams per cubic centimeter (g/cm³).

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20 POINTS!!!
PLEASE HELP!

Which statement is true about the graphs shown? A) Only graph A represents a proportional relationship. B) Only graph B represents a proportional relationship. C) Graph A and graph B both represent a proportional relationship. D) Graph A and graph B both represent a non-proportional relationship.

Answers

Answer:

Option  A) Only graph A represents a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

therefore

Graph A represent a proportional relationship, because the line passes through the origin

Answer: GRAPH B

Step-by-step explanation: i got it right

f(x) = x − 3 and g(x) = 2x + 8 Which ordered pair is a solution for the system?

Answers

I put it into Desmos and got (-11, -14)

4. Find the length of AB if A is located (-2,0) and B is located at (5,0)

5. If EF=9x+14, FG=56, and EG=250, find the value of x. The drawing is not to scale.

Answers

Answer: 4. 7 unit

5. 20 unit

Step-by-step explanation:

4. Since, A≡ (-7,0) and B≡ (5,0)

Thus, By the distance formula,

[tex]AB = \sqrt{(5-(-2))^2+ (0-0)^2}[/tex]

⇒ [tex]AB = \sqrt{(5+2)^2+ (0)^2}[/tex]

⇒ [tex]AB = \sqrt{(7)^2+ (0)^2}[/tex]

⇒ [tex]AB = \sqrt{49+0}[/tex]

⇒ [tex]AB = \sqrt{49}[/tex]

⇒ AB = 7 unit

5. Here EF = 9x + 14, FG = 56 and EG= 250

But, According to the given diagram,

EF + FG = EG ( because G divides the line EG )

⇒ 9x + 14 + 56 = 250

⇒ 9x + 70 = 250

⇒ 9x = 250 - 70 ( By subtracting both sides by 70)

⇒ 9x = 180

⇒ x = 20  ( by dividing both sides by 9 )

Thus, the value of x is 20.

How many solutions does this system have!

y = 3x + 5
y = -x + 4

a. one
b. two
c. infinite number
d. no solution

Answers

Answer:x=-14y=174


y=3x+5,y=-x+4


3x+5=-x+4



There are infinite number of solutions!





Move all terms containing

x

x to the left side of the equation.

Tap for more steps...

4

x

+

5

=

4

4x+5=4

y

=

x

+

4

y=-x+4

Move all terms not containing

x

x to the right side of the equation.

Tap for more steps...

4

x

=

1

4x=-1

y

=

x

+

4

y=-x+4

Divide each term by

4

4 and simplify.

Tap for more steps...

x

=

1

4

x=-14

y

=

x

+

4

y=-x+4

Replace all occurrences of

x

x with the solution found by solving the last equation for

x

x. In this case, the value substituted is

1

4

-14.

x

=

1

4

x=-14

y

=

(

1

4

)

+

4

y=-(-14)+4

Simplify the right side.

Tap for more steps...

x

=

1

4

x=-14

y

=

17

4

y=174

The solution can be shown in both point and equation forms.

Point Form:

(

1

4

,

17

4

)

(-14,174)

Equation Form:

x

=

1

4

y

=

17

4

x=-14y=174

Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))

Answers

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

I need help ASAP pleaseSolve for y Y+1.5=7.26

Answers

Answer:

5.76

Step-by-step explanation:

If you subtract 7.26 by 1.5 by puting the 1.5 under the 7.26 you would get that and put y=5.76.

Answer:

Y=1.05 = 7.26

Y = 7.26 - 1.05 - 6.21

Step-by-step explanation:


Molly took an exam that had 25 questions. She got 75% on the test, how many questions did she get wrong

Answers

3 molly missed 3 questions because 25/25=100 and 24/25 = 90 and 23/25= 80 22/25=70 so its 22 and a half witch means she missed 22 questions and didnt do her work right so she proably didnt do one of her questions work right.

Simplify the expression. −9(z + 3) − 5(2z + 10)
A. −19z − 77
B. −19z + 13
C. −19z − 13
D. −11z + 77

Answers

Answer:

A. −19z − 77

Step-by-step explanation:

−9(z + 3) − 5(2z + 10)

The first step is to distribute

-9*z -9*3  -5*2z -5*10

-9z-27 -10z-50

-19z -77

Answer

The correct answer is A

Step-by-step explana

Which of the following is a correct interpretation of the expression 6-13?

Answers

Answer:

The answer is C

Step-by-step explanation:

Subtraction goes left on the number line

You always start with the first number on the number line



The linear inequality y ≤ 3/2x + 3/2
is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (1, 3)
C) (-2, 0)
D) (-3, 1)

Answers

Answer:

it's (B)

Step-by-step explanation:


Final answer:

To find a solution for the linear inequality y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. The correct solution for the inequality is (-2, 0).

Explanation:

To determine a solution for the linear inequality, y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. This inequality represents a line with a slope of 3/2 and a y-intercept of 3/2. Starting from the y-intercept, we can draw a line that goes up 3 units vertically and 2 units horizontally, and another line that goes down 3 units vertically and 2 units horizontally. Shade the region below the line to include the points that satisfy the inequality. The correct solution for the inequality is (C) (-2, 0).

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felix bought 5/6 pound of peanuts. He ate 3/4 pounds of peanuts. How much did felix hace left

Answers

Felix are 1/12 pounds

HELP PLS 15+ POINTS

Write an equation of the line that has:

a. no slope and passes through the point (4,-5)

b. a slope of 0 and passes tgrough the point (-4,-1)

Answers

since there is no slope, there is no x because if you put an x, the slope would be 1. using the point given: ( 4, -5), the first number is the x axis number. the second number is the y axis number. since there is no slope, it is just a horizontal line. the line crosses the y axis at -5 so the answer for a would be y = -5

For b, the slope is zero meaning there is no slope. so like a, there will be no x. this line will also be a horizontal line. this line crosses at -1 on the y axis so the answer will be y = -1



What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?

10, 5, 0, -5, -10, ...
A) -5n
B) -5n + 15
C) -3n + 15
D) 5n

Answers

Answer:

B

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and [tex]a_{1}[/tex] = 10, hence

[tex]a_{n}[/tex] = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B



plz help

x-2 1/4=1/18

Answers

Answer: x = 2  11/36


Step-by-step explanation:

x-2 1/4 = 1/18

Isolate x: x - 2 1/4 + 2 1/4 = 1/18 + 2 1/4

x = 4/72 + 2 18/72

x = 2 22/72

x = 2 11/36

Check:

2 11/36 - 2 1/4 = 1/18

2 11/36 - 2 9/36 = 1/18

2/36 = 1/18

1/18 = 1/18

First
Isolate the variable which in this case is x. To do this you mast do what ever you do to both sides. You add 2 1/4 to negative 2 1/4 and you do that also to 1/18.

Second
You now have x = -79/36 which also can be x = 2 7/36

X = 2 7/36




Joshua receives a $70 gift card to use at a clothing store. he buys a pair of jeans for $36 and 8 pair of socks. he does not use the entire amount of the gift card. Write and solve an inequality to find s, the price of each pair of socks?

Answers

Hope this is the answer you're looking for.

Write an absolute value inequality that describes the acceptable weights, w, of a 20-ounce bottle of sports drink.

Answers

Answer: [tex]0\leq w\leq 20[/tex]

Step-by-step explanation:

Since, Here w represents the weight of the bottle.

And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.

That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.

Therefore,  [tex]w\leq 20[/tex]

And, the weight can not be negative.

Therefore, [tex]0\leq w[/tex]

Thus, the required inequality is,

 [tex]0\leq w\leq 20[/tex]


Dan’s ice cream comes in cartons of two sizes.The large carton holds4 1/2 pounds.the small carton holds 1 3/4 pounds less .how much ice cream does the small carton hold?

Answers

Answer:

2 and 3/4 lbs

Step-by-step explanation:

4 and 1/2 is equal to 9/2. If you multiply 4 by 2 and then add 1, you get 9, and put it over 2 because that is the denominator in the mixed number. Using the same method, we can find that 1 and 3/4 is equal to 7/4. However, the denominators are different, so we need to change that so they will be common. We can change 9/2 to 18/4 by multiplying both the numerator and the denominator by 2. This is technically the same as multiplying by 2/2, which is equal to 1, so the fraction will be equivalent, since anything multiplied by 1 is itself. Now we have 18/4 for the large carton and 7/4 for the small carton. Since the denominators are the same, they do not change. Just subtract the numerators to get 11, and then put it over 4 to get 11/4. In mixed number form, this is 2 and 3/4 lbs because 4 goes into 11 twice (8) and then you will have 3 left over. 8+3 = 11

Answer:

23/4pounds.

Step-by-step explanation:

41/2 take away 1 3/4 = 2 3/4.

Which point is on the graph of f(x)=5^x?

Answers

Answer:

B. (0 , 0)

Step-by-step explanation:

Plug in the coordinate into the equation given.

Note that:

x = x

f(x) = y

Also note that in B, x = 0, y = 0

Plug in the corresponding number with the corresponding variable

0 = 5^(0)

Simplify

5^0 = 0

0 = 0 (True)

B. (0 , 0) is your answer

~

Answer:

(1,5)

Step-by-step explanation:

This is the correct answer.

7.3 homework help me

Answers

Answer:

1. Yes

∆RST ~ ∆WSX

by SAS

2. Yes

∆ABC ~ ∆PQR

by SSS

3. Yes

∆STU ~ ∆JPM

by SAS

4. Yes

∆DJK ~ ∆PZR

by SAS

5. Yes

∆RTU ~ ∆STL

by SAS

5. Yes

∆JKL ~ ∆XYW

by SAS

6. No

7. Yes

∆BEF ~ ∆NML

by SAS

8. Yes

∆GHI ~ ∆QRS

by SSS

9. x=22

10. x=12

Step-by-step explanation:

1. RS/WS=ST/SX and m<RST=m<WSX

2. AB/PQ=8/6=4/3

BC/QR=AC/PR=12/9=4/3

AB/PQ=BC/QR=AC/PR

3. ST/JP=10/15=2/3

SU/JM=14/21=2/3

ST/JP=2/3=SU/JM

and m<TSU=70°=m<PJM

4. DK/PR=8/4=2

JK/ZR=18/9=2

DK/PR=2=JK/ZR

and m<DKJ=65°=m<PRZ

5. RT/ST=UT/LT

and m<RTU=m<STL

6. KL/YW=20/18=10/9

JL/XW=36/24=3/2

KL/YW=10/9≠3/2=JL/XW

7. BF/NL=24/16=3/2

BE/NM=39/26=3/2

BF/NL=3/2=BE/NM

and m<EBF=m<MNL

8. GH/QR=32/20=8/5

HI/RS=40/25=8/5

GI/QS=24/15=8/5

GH/QR=HI/RS=GI/QS=8/5

9. x/33=18/27

Simplifying the fraction on the right side of the equation:

x/33=2/3

Solving for x: Multiplying both sides of the equation by 33:

33(x/33)=33(2/3)

x=11(2)

x=22

10. x/16=9/12

Simplifying the fraction on the right side of the equation:

x/16=3/4

Solving for x: Multiplying both sides of the equation by 16:

16(x/16)=16(3/4)

x=4(3)

x=12

Patty needs a total of 80$ to buy a bicycle .she has already saved 35$. If she saves 10$ a week. From her earnings ,what is the best number of weeks she must work to have enought money to but a bicycle?
A) 3
B)4
C)5
D)8

Answers

It is c) hope you enjoy!!!

Answer:

C) 5 weeks

Step-by-step explanation:

Given :- Cost of bicycle = $80,

             Current Savings = $35 and

             Saves $10 per week

Additional money that is required to buy the bicycle =  $80 - $35

                                                                                           = $45

If she saves $10 per week then the best number of weeks to save $45 is 5 weeks

(Savings in 5 weeks = $10 × 5 =  $50)

eleanor purchased $2568 worth of stock and paid her broker a 0.5% fee. She sold the stock when the stock price increased to 3928 using an online broker that charged $7 per trade. What are her net proceeds?

Answers

Answer:

Eleanor's net proceeds would be $1340.16.  

Step-by-step explanation:

If Eleanor purchased $2568 worth of stock and paid a 0.5% broker fee, she would have to pay $12.84 for the service, which is what we get when we multiply her initial purchase by the percentage (0.005).  When Eleanor sold the stock at $3928, she had to pay a flat fee of $7 for the trade, decreasing her overall profit by $7, or $3921.  Subtracting her initial investment from the overall profit gives Eleanor a net proceed of $1340.16.  

Final answer:

Eleanor's net proceeds from her stock sale, after accounting for both the original broker's fee and the online trading fee, are $3908.16.

Explanation:

To calculate Eleanor's net proceeds, we first need to calculate the fee she paid to her first broker. At 0.5% of $2568, that comes to $2568 * 0.005 = $12.84.

Next, she sold her stocks for $3928 using an online broker that charges a flat rate of $7 per trade. So, she paid another $7 in fees.

Therefore, the total fees she paid are $12.84 (first broker) + $7 (second broker) = $19.84.

Finally, to find her net proceeds, we subtract the total fees from the amount she sold her stocks for: $3928 - $19.84 = $3908.16.

So, Eleanor's net proceeds from selling her stocks are $3908.16.

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Sade found that 75% of 60 is the same as 30% of another number,n.What is the value of n?

Answers

the value of n would be 150.

The GCF of 12 and 15 is _____.

Answers

Answer:

3.

Step-by-step explanation:

To find the GCF of two numbers:

List the prime factors of each number.

Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.



Hope This Helps!

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Answer:

3

Step-by-step explanation:

What are the first 4 terms of the arithmetic sequence in the graph?


Answers

Look at the picture.

[tex]a_1=4\\\\a_2=6\\\\a_3=8\\\\a_4=10[/tex]

Answer:

Start from bottom to top. They are asking for the y-intercept of the dot. The order is as follows: 4, 6, 8, 10.

Find the absolute value of |-15|

Answers

Answer:

15   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Absolute value is always positive.

Answer:


Step-by-step explanation: Absolute value of -15 is 15. Absolute value is the distance of a number on the number line from 0. Even though it is a negative, it is a positive because it is a number of units from number line. Hope it helps!!☺☻ Please give Brainliest!


Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer:

3/4(6,-1)

Step-by-step explanation:

(6,6)*-(-6,1)

/by answer

Answer:

[tex]y = \frac{5}{12}x + \frac{21}{6}[/tex]      

Step-by-step explanation:

We are given the following information in the question.

The line passes through the point (6,6) and (-6,1).

We have to find the point slope form of the equation.

The point slope form of equation is given by:

[tex]y-y_1 = m(x-x_1)\\\text{where}\\m = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\\\text{Putting}\\(6,6) = (x_1,y_1), (-6,1) = (x_2,y_2)\\\\y - 6 = \frac{1-6}{-6-6}(x - 6)\\\\y-6 = \frac{-5}{-12}(x-6)\\\\12(y-6) = 5(x-6)\\12y - 72 = 5x - 30\\12y = 5x -30 + 72\\12y = 5x +42\\\\y = \frac{5}{12}x + \frac{42}{12}\\\\y = \frac{5}{12}x + \frac{21}{6}[/tex]

The above equation is the required slope intercept form of equation passing through the given points.

What is 6.39 / 0.09

Answers

The answer is 71 when simplified

Answer:

71

Step-by-step explanation:

One way of doing this problem is to remove the fractions.  If we move both decimal points two places to the right, we get 639/9.

Routine division results in a quotient of 71.

Please help ASAP!!!
A six-sided number cube is rolled. What is the probability of getting a 3 and then a 4, given that the first number rolled was a 3?

1. 1/3
2. 1/6
3. 1/36
4. 1/2

Answers

The answer is 3. 1/6 because there are 6 sides in the cube. So the probability of getting a certain number is 1/6.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube is 1/36.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube:

Probability of rolling a 3 on the first roll: 1/6

Since each roll is independent, the probability of rolling a 4 after rolling a 3: 1/6

Therefore, the overall probability of getting a 3 and then a 4: 1/6 × 1/6 = 1/36

A water yank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an average rate of 450 gallons per day?

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

18,000 - 6000 = 12,000

12,000 ÷ 450 = 26.66 = 26 days 16 hours

Other Questions
20 POINTS!!!PLEASE HELP!Which statement is true about the graphs shown? A)Only graph A represents a proportional relationship. B)Only graph B represents a proportional relationship. C)Graph A and graph B both represent a proportional relationship. D) Graph A and graph B both represent a non-proportional relationship. plz helpx-2 1/4=1/18 Simplify the expression. 9(z + 3) 5(2z + 10) A.19z 77 B.19z + 13 C.19z 13 D.11z + 77 The GCF of 12 and 15 is _____. What is the radical expression that is equivalent to the expression (35)^1/4?Enter your answer as a radical.For example, if your answer is 314,enter it like this: cuberoot(14) 15PT!!! PLEASE HELP QUICK!!! Fourth paragraph: Discuss the position of the Anti-federalists on ratifying the Constitution. Use facts. find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale to mail a cardboard box, you measure its size and mass. It is 55cm long , 25cm wide and 20 cm high. The mass of the box is 4kg. What is the density of the boxes in grams over cm squared to make sure that a manufacturing process meets the acceptable standards and procedures is quality N Puerto Rico, young friends often begin a conversation with the casual way to ask "How are you?" which in Spanish is: solve this identifying holes, vertical asymptotes, and horizontal asymptotes forf(x)=x+7x+12/-x-3x+4 Which outcome was the eventual result of the burglary committed at the Democratic National Headquarters in 1972 Which of the following events was not a result of the Bosnian civil war? A. An independent, democratic Yugoslavia was restored. B. Over 100,000 people were killed. C. Over 1 million refugees were displaced. D. NATO and the EU sent in peacekeeping forces to calm the region. Please select the best answer from the choices provided. A B C D With which statements would Roosevelt most likely agree?Select each correct answer. A) Measures should be enacted to protect the agricultural sector. B) A committee will struggle to create an economic plan to improve the economy. C) The economic situation makes the country vulnerable to a military attack. D) The government should play an important role in the economic recovery. Which aspect might be the first to affect a candidates first impression on a potential employer before the interview process begins?A. attitudeB. punctualityC. body languageD. communication 4. Find the length of AB if A is located (-2,0) and B is located at (5,0) 5. If EF=9x+14, FG=56, and EG=250, find the value of x. The drawing is not to scale. 100 points. How did the Jews practice their religion during the exile to Babylon PLEASE HELPPPPPP What can you infer about Skiff Miller's feelings about the dog? Explain how you came to your conclusions. Two less than three fourths of a number is ten. What is the number?A. 10 2/3B. 13 1/3C. 15 1/3D. 16 What is the slope of the line through (-7,-2)(7,2) and (-6,7)(6,7)? Choose 1 answer: Choose 1 answer: (Choice A) A -\dfrac19 9 1 (Choice B) B -99 (Choice C) C 99 (Choice D) D \dfrac19 9 1 Steam Workshop Downloader