If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.

Answers

Answer 1

Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

Answer 2

The length of AB is 26 units.

What is a line segment ?

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

learn more about line segment here ;

https://brainly.com/question/25727583

#SPJ2


Related Questions

Plz help: If you know two points on a line, why can you write two different equations for that line?

Answers

Answer:

Yes

Step-by-step explanation:

I think so but im not 100% sure sorry if im inncorrect.

Answer: since there are two points there should be two equations so you could find the final equation for that whole line

Step-by-step explanation:

How do I write the two equations?

Answers

From my knowledge I got (5x+3y)=48 and 6+(5x+3y)=180

John pays for a Disney annual pass each month. He was charged $150 as a down payment, and each month he pays $28. Create an equation to represent the total cost, y of his annual pass. What is the y-intercept?​

Answers

Equation: y= 28x +150
Y-intercept: 150

Write the equation of the line below

Answers

Y=1x-1 or Y=x-1. Either one is correct.

Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
a) x^2+6.8^2
b)3.8+6.8^2=x^2
c)3.8+x^2=6.8^2
d)3.8^2-x^2=6.8^2

please help i will give brainliest :)

Answers

Answer:

[tex]equation \: for \: pythagorean \: theorem \: is \: \\ {3.8}^{2} + {6.8}^{2} = {x}^{2} [/tex]

Answer:

3.8² + 6.8² = x²

Step-by-step explanation:

see attached

(THE QUESTION IS AT THE PHOTO)

Answers

im not sure this is the answer you are looking for but

45 can be 90 and 27 can be 108

27*2 is 54

27*3 is 81

27*4 is 108

Answer: 45 = 90

27 = 108

Step-by-step explanation: A multiple is the result of multiplying the number by any integer.

Multiply 45 by 2 and you get 90 which fits between 85 and 110.

Multiply 27 by 2, but it only reaches 54 which doesn’t fit. Multiply 27 by 3 and you get 81, which still doesn’t fit between 85 and 110. Lastly, try multiplying 27 by 4 which gives you 108. This fits between 85 and 110!

Hope this helps, feel free to ask any further questions.

find the sum. 2/5 + 1/2​

Answers

2/5 + 1/2

4+5 / 10 • look for the LCD of 5 and 2
which is 10 then 5 goes 2
times into 10 the multiply by 2
= 4. Then 2 goes 5 times into
10 then multiply by 1 = 5.

Therefore the sum of 2/5 + 1/2 =9/10

Answer:

9/10 NINE OVER 10

Step-by-step explanation:

To add two fractions they must be over a common denominator, which for this problem is  10. To put each fraction over a common denominator we must multiply each fraction by the appropriate form of  1. 2/5 + 1/2 ( 2/2 X 2/5 ) +  (5/5 X 1/2 ) --> 4/10 + 5/10

We can now add the numerators of the two fractions over the common denominator: 4/10 + 5/10 ---> 4+5/10 ---> 9/10.

Hope this helps! I know what does though, marking me brainliest.

PLEASE HELP! WILL MARK BRAINLIEST - What is 2(n+1)?

Answers

Answer:

I hope that this helps... (2n-1)

Step-by-step explanation:

1)If n is a natural number, (2n-1) is an odd number for n greater or equal to 2 .

2) Is n is a whole the number the same thing applies but the range of n just has its vertex at -1.(Odd integer)

3)If n is any integer, then the range is all integers from -Infinity to +Infinity.(Odd integer)

4)If n is any complex number, n can be represented in the form of e^i thetha (Euler’s form) but nothing can b e commented on whether it is odd or even.

5)If n is any real number the range of this data can be from -Infinity to +Infinity, nothing can be commented on whether the number is odd or even.

Ed's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. They stayed at the museum for 1 hour and 45 minutes. What time was it when Ed's class left the museum?

Answers

Answer:
12:45

10:45 + 15 minutes = 11:00

11:00 + 1 hour and 45 minutes = 12:45

Think of it as:
11:00
+1.45
———
12:45

Solve for the Variable 9x+2 10x-10

Answers

Answer:

x=12

Step-by-step explanation:

9x+2=10x-10

9x-10x=-10

-x=-10-2

x=12

x=12

need help quick, please and thank tou

Answers

Answer: C

Step-by-step explanation:

PLEASE HELP ME FRIEND ​

Answers

Answer:

The first two.

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Answer:

[tex]{\huge{\pink{\underline{\underline{Answer}}}}}[/tex]

Triangle ABC and Triangle XYZ are cngruent due to S.S.S. congruence rule...

A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

103 m

Step-by-step explanation:

A pole, its shadow and a tower with its shadow form similar right triangles

Let the tower be x m tall

Then as per similarity we have the ratio of corresponding sides:

47.75/1.53 = x/3.3x = 3.3*47.75/1.53x = 103 m rounded to nearest meter

2316 divided by 2.4 show your work

Answers

Answer:

956

Step-by-step explanation:

You could answer this by doing division

So you could write it as 2316 (division symbol) 2.4=956

Hope this helped a bit!

The answer is 965. 2316 divided by 2.4 makes 965

Factorise this : 2p²-p-10

Answers

Answer:

Step-by-step explanation:

p(2p-1)-10

(2) Un recién nacido tiene alrededor de 26,000,000,000 células. Un adulto tiene unas 4.94 x 1013células. ¿Cuántas veces tiene un adulto que un recién nacido?

Answers

Answer:

54

Step-by-step explanation:

thetvdjsvahchcbdsbh

-1/8(2h+4)+1/2= -7/4 ​

Answers

Answer:

h=7

Step-by-step explanation:

what are you all being for Halloween?

Answers

I’m going to be a princess but 2020 addition

If Ill m, solve for x and y.
(7x -23)
49°
(3x)
(11y – 1)

Answers

Answer:

[tex] x = 18 [/tex]

[tex] y = 5 [/tex]

Step-by-step explanation:

49° + (3x)° = (7x - 23)° (corresponding angles)

[tex] 49 + 3x = 7x - 23 [/tex]

Collect like terms

[tex] 49 + 23 = 7x - 3x [/tex]

[tex] 72 = 4x [/tex]

Divide both sides by 4

[tex] \frac{72}{4} = x [/tex]

[tex] 18 = x [/tex]

[tex] x = 18 [/tex]

(3x)° = (11y - 1)° (corresponding angles)

Plug in the value of x and solve for y

[tex] 3(18) = 11y - 1 [/tex]

[tex] 54 = 11y - 1 [/tex]

Add 1 to both sides

[tex] 54 + 1 = 11y [/tex]

[tex] 55 = 11y [/tex]

Divide both sides by 11

[tex] \frac{55}{11} = y [/tex]

[tex] 5 = y [/tex]

[tex] y = 5 [/tex]

RAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. A. How much will the trip cost the Kaplan family at the per person rate? B. How many people must be on the river trip to make the flat rate less expensive than the per person rate?

Answers

Answer:

(a) $16.25

(b) 7

Step-by-step explanation:

Rent of 1 raft for 1 day= $10

So, rent for 1 raft for half-day=10/2=$5

Charge for 1 person for half-day river trip =$15

Flat rate for half-day river trip=$200

(a) There is 4 member of the Kaplan on the trip.

One raft can hold up to 10 people, so, they need to take 1 raft on rent.

Rent of 1 raft for half-day =$5

Charge for 4 persons for half-day river trip =$15x4=$60

Total cost for the half-day trip for 4 persons=5+60=$65

Cost for half-day trip for 1 person= $65/4=$16.25

(B) Let there are n peoples on the river trip.

For the number of people up to 10, they need to take one boat on rent.

Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)

=5+15n.

Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)

=5+100

The condition for which the flat-rate cost is less expensive than the per person rate cost is

[tex]5+100<5+15n[/tex]

[tex]\Rightarrow 100<15n[/tex]

[tex]\Rightarrow n>\frac{100}{15}[/tex]

[tex]\Rightarrow n>6\frac{2}{3}[/tex]

As n is the number od person which cant be a fractional value, so

n=7,8,9,... or [tex]n\geq7[/tex]

So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.

The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?

Answers

Answer:

1 km

Step-by-step explanation:

if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km

Solve the equation:
[tex] - 5r + 6 \leqslant - 5(r + 2)[/tex]

Answers

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

[tex]-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}[/tex]

which number is an irrational number? A 40 .B 49 C 100 D 9

Answers

Answer:

b :)

Step-by-step explanation:

there are 24 students in first period. on a math test five eights of the standard and 90 or better how many students only 90 or better

Answers

The answer is 15 because 24 divided by 8 is 3 and you have 5/8 so you multiply 3 and 5 to get the outcome of 15:)

3. The points (80, 20) and (120, 30) form a proportional relationship. What is the
slope of the line that passes through these points? *

A)1/4
B)4
C)10
D)40

Answers

Answer:

6x6x55x5x5x2

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

This table shows the top athletes that play both football and basketball. What is the intersection of the set of football players and the set of basketball players? Football Basketball Ahmed Corelli Corelli Donaldson Jimenez Jeffers Miller Nicholas Petersen Yao Yao Zamora {Corelli, Jimenez} {Corelli, Yao} {Yao} {Jimenez}

Answers

Answer:

the answer is  {Corelli, Yao}

Step-by-step explanation:

i took the quiz

the answer is  {Corelli, Yao}

it them bc of they why of the number is place and it repeied

A. Write the formula for the volume V of a prism where B is the area of the base and h is the height. V= b. Solve the formula for B. B= c. Use the new formula to find the area of the base of the prism. The area of the base of the prism is square inches.

Answers

Step-by-step explanation:

The question lacks the required diagram, find the diagram attached.

Volume of the pyramid V = BH where;

B is the base area

H is the height of the prism.

b) To solve for B, we will have to make B the subject of the formula from the equation in a;

From (a);

V = BH

Divide both sides by H

V/H = BH/H

V/H = B

B = V/H

c) Since we are not given the volume and height of the prism, we can as well use the following parameters;

Let us assume Volume of the prism = 175in³  and  eight of the prism H = 5in

Substitute this values into the equation derived in (b)

B = 175in³/5in

Hence the area of the base of the prism is square inches is 35in²

What will be the value of y?

Answers

Answer:

The answer is 40.

Step-by-step explanation:

Both of the angles given are congruent. 2y-10=70. To get y, you must multiply 2 and 40 together, making 80. Then you subtract it by 10, making it 70 degrees.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x + 2y = 4

Answers

Answer:

y= -x+2

Step-by-step explanation:

Equation for this is y=mx+b. we just need to move the x to the other side divide by 2 and we get our answer.

Greg earned $25 after
mowing lawns for 3
hours. How much will
he earn after 7 hours
at the same rate ?

Answers

he will make 58.1 more in 7 hrs

Answer:

58.50$

Step-by-step explanation:

Other Questions
hey, am doing an essay on thick/solid woman how can i start it of? The phospholipid bilayer describes a structure with:abPolar heads on the outside and non-polar tails on the inside.Non-polar tails on the outside and polar heads on the inside.Polar layers on both the inside and outside.Non-polar layers on both the inside and outside.C What forms of energy does the sun emits? Read the blog entry below and answer the question that follows:At first I dreaded going to sixth grade camp. I was sure the food would be poisonous, I would freeze to death in my sleeping bag, and the other kids in my cabin would never talk to me. But was I wrong! In fact, it was the best week ever! I went horseback riding and participated in a ropes activity with a zip line course. After the course, I climbed to the top of a pole using only ropes and carabiner clips, and then I rappelled off the top. I even made a new best friend. Oh, by the way, the food was delicious. It tasted better than my mom's! (But don't tell her.)Review the first sentence:At first I dreaded going to sixth grade camp.What is the connotation showing here? (5 points)The author was impatient and could not wait to get to camp.The author was worried he/she might not enjoy camp.The author welcomed the opportunity to go to camp.The author was excited about going to camp. Solve for xO 10O 189O 20O 22.5 Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?A. B. C. D. Were you able to experience the same changes? When? Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48. What is the purpose of the introduction in an informative essay?to engage the reader and state the thesis to develop the main topic with subtopicsto wrap up the main ideas of the essayto restate the writers thesis statement Let's say you are retelling this news story. Which is most important to say?Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedA Some gingerbread homes in Haiti are being restored.B Some people went to Paris, France, to study architecture.C An earthquake hit Haiti in 2010.D Port-au-Prince is Haiti's capital city. Choose the answer that best completes the sentence below.Astronaut wives had the difficult job of caring for homes and children with little or no help, _____ they were expected to display the image of family perfection. It is an art movement that emerged in the second half of the 19th century among a group of Paris-based artists that shows the viewers momentary impression of an image. * Which of the following best describes weight?A. The amont of space an object takes upB. The amont of matter in an objectC. The force on an object due to its mass and gravityD. The force on an object due to its speed and location Global visibility is: Group of answer choices A visibility type where an object A has a semi-permanent reference to another object B through a class-level field. The visibility persists as long as both A and B exist. A visibility type where an object A receives a reference to an object B as an argument to a method of A. A visibility type where an object A has visibility to B via a singleton or other construct where B can be accessed in any context. The visibility persists as long as both A and B exist. A visibility type where an object A has a reference to an object B within a method of A as a newly declared variable. In a very old man with enormous wings, what does the author tell the reader about humanity? When you are done looking at slides of blood smears you should _____. 1 wash the slides off in the sink 2 leave the slides for someone else to clean up. 3 dispose according to your teachers instructions 4 dump in the trashpls help Transactions that affect earnings do not necessarily affect cash. Identify the effect, if any, that each of the following transactions would have upon cash and net income. a. Purchased $125 of supplies for cash.b. Recorded an adjusting entry to record use of $45 of the above supplies. c. Made sales of $1,220, all on account. d. Received $850 from customers in payment of their accounts. e. Purchased equipment for cash, $2,500. f. Recorded depreciation of building for period used, $610. Which sequence shows the numbers in order from least to greatest? The amount of money that must be paid by the patient for medical services before the policy begins to pay is the:PPOtaxcollateraldeductible Which event best supports the theme fighting for justice is worth the risk?A) Mr. Morrison saving Papas life after he was shotB) Papa setting his cotton field on fireC) the nightmen starting the fire that burned Mr. BerryD) Big Ma making Cassie apologize to Lillian Jean