The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.

Answers

Answer 1

Answer:

RS=3

Step-by-step explanation:

Solve for x:

6x+3x+x=10

All parts add up to whole

10x=10

Combine like terms

x=1

Use x to solve for segment lengths:

QR=6x=6(1)=6

RS=3x=3(1)=3

ST=x=1

Therefore RS=3

Answer 2

The length of the line segment RS will be 16 units.

What are collinear points?

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let Q, R, S, and T be the collinear points. Then the condition of the collinear will be

QR + RS + ST = QT

The points Q, R, S, and T all lie on the same line segment, in that order, such that the ratio of QR:RS: ST is equal to 1:4:5. If QT = 40.

Let QR / 1 = RS / 4 = ST / 5 = x

QR = x

RS = 4x

ST = 5x

Then the value of the variable x will be

QR + RS + ST = QT

x + 4x + 5x = 40

10x = 40

x = 4

Then the length of the line segment RS will be

RS = 4x

RS = 4 (4)

RS = 16

Then the length of the line segment RS will be 16 units.

More about the collinear points link is given below.

https://brainly.com/question/1593959

#SPJ2


Related Questions

Use the Distributive property to find the product. 3x891=3(?-?) ​

Answers

Answer:

900,9

Step-by-step explanation:

distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673

the top angle is angle X, but the question is "which of the following congruence statements is true?
A. none of the above
B. XYZ = XZY
C. XYZ = YXZ
D. XYZ =ZYX​

Answers

You are correct. The answer is choice B.

The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.

Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.

Answers

Answer:hi I believe is is Ben and Elizabeth

Step-by-step explanation:

2.

The heights of horses who compete in the Melbourne Derby are

normally distributed with a mean of 66 inches and a standard

deviation of 3 inches.

(a) If a horse is randomly selected from this race, what height

would you expect it to be?

(b) What percentage of horses who compete in the Melbourne

Derby have heights between 60 and 72 inches?

(c) In a particular year there are 25 horses running in the

Melbourne Derby. How many of these would you expect

to have a height of less than 63 inches?

Answers

Answer:

66 inches ;

95.44 ;

4

Step-by-step explanation:

Given that:

Normal distribution with;

Mean(m) = 66 inches

Standard deviation (s) = 3 inches

A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches

B.) percentage horses who are between 60 and 72 inches

Zscore = ( x - m) / s

x = 60

Zscore = (60 - 66) / 3

Zscore = - 6/3

= - 2

P(Z < - 2) = 0.0228

Zscore = ( x - m) / s

x = 72

Zscore = (72 - 66) / 3

Zscore = 6/3

= 2

P(Z < 2). = 0.9772

Between 60 and 72

0.9772 - 0.0228 = 95.44

c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Zscore = ( x - m) / s

x = 63

Zscore = (63 - 66) / 3

Zscore = - 3/3

= - 1

P(Z < - 1) = 0.1587

0.1587 * 25 = 3. 967 = 4

help please i need answer i will like you and try to answer to your last quashen pls help​

Answers

Answer:

Ok the so the answer is 103.075

Step-by-step explanation:

So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075

PLEASE HEART

4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week

Answers

Answer:

$218.50

Step-by-step explanation:

5.75×38=218.5

turn into dollars $218.50

If you multiply 5.75 by 38 hours it’ll give you 218.5 so Cindy earned $218.5

A package of 3pairs of insulated gloves cost $17.97. What is the unit price of the pairs of gloves

Answers

$5.99 hope that helpssss

Jacqueline needs 8 gallons of gas. She only has $25. The constant of proportionality of the gas is $3.75. Does she have enough money to get 8 gallons of gas?

Answers

Answer:

D. No

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

which one is the coldest​ AMD why

Answers

Answer:

Raleigh.

Step-by-step explanation:

Just look for the Fahrenheit with the smallest number.

Answer:Raleigh

Step-by-step explanation:Your going to go for the smallest and I just took the quiz

At this point I’m just going to start singing songs ! For the caption

Answers

Answer:

[tex]the \: value \: is \:0.5 \: i.e\: option\:b[/tex]

Answer:

.50

Step-by-step explanation:

I am pretty sure

Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Response area+4x−2=(2x+1)(2x−1) Response area=(2x+1)(2x−1) Response area=(2x+1)(2x−1)

Answers

Answer:

Step-by-step explanation:

Given expression is,

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]

0.11+12.74(x+3)=0.08+13.49

Answers

Answer:

x = 2.210526316

Step-by-step explanation:

Answer:

[tex]x = −1.9434851[/tex]

Step-by-step explanation:

[tex]0.11 +1 2.74(x + 3) = 0.08 + 13.49 \\ 0.11 + 12.74x + 38.22 = 0.08 + 13.49 \\ 12.74x + 38.33 = 13.57 \\ 12.74x = 13.57 - 38.33 \\ 12.74x = −24.76 \\ \frac{12.74x}{12.74} = \frac{ - 24.76}{12.74} \\ x = −1.9434851[/tex]

(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.



Answer:
x y



(Score for Question 2: ___ of 5 points)

Answers

I think the first is B

Jack's grades on his last 4 tests were 85%, 76%, 95%, and 81%. What does he need to get on his fifth test to have an average of at least 85%?

Answers

Answer:

he has to get at least a score of 88

Step-by-step explanation:

Answer:

84.25%

Step-by-step explanation:

85+76+95+81 = 337

337/4= 84.25

so Jack needs to get at least 84.25% on his fifth test to have an average of at least 85%:)

If you lower your monthly payment, do you think the total interest you pay will increase or decrease? Why?

Answers

Answer:

increase

Step-by-step explanation:

Once Your Monthly Payment Has Been Lowered, More People Will Be Interested Do To Its Lower Payment.

what is 100,789,388,369,012 times 479,000,000

Answers

Answer:

4.8278117e+22

Step-by-step explanation:

48278117028756748000000
Pls mark brainliest

What is the rule of the rotation. Did it rotate clockwise or counterclockwise? How many degrees did it rotate?

Answers

Answer: rotates clockwise.
It rotates two times so i think 180°

which complex number has a distance of v17 from the origin on the complex plain

Answers

Answer:c

Step-by-step explanation:

I WILL MARK BRIANLIEST PLEASE HELP!!!

Answers

Answer:

50 degrees

Step-by-step explanation:

Angle ABE is the opposite of the angle given on two converging lines, making it the same degree :)

The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny.

Answers

Answer:

784

Step-by-step explanation:

My bad don't know how to explain..

13 over 4 times 19 over 3

Answers

it is 247 over 12 i think

Answer:

13/4*19/3=20.5833 or 20 and 7 over 12

why? just why. why are we here? should i off myself? should i stay?

Answers

Answer:

It can be a passing thought or a question that launches a full-on existential exploration. Having a sense of meaning and purpose in life is usually a positive motivator, at home and at work. But maybe the questioning itself is where life's true mission is found...

Step-by-step explanation:

please help this is timed

Philip is 4 years older than his brother. The sum of their ages is 26. How old is Philip's brother?

Answers

Answer:

Phillips brother is 11.

Step-by-step explanation:

11 + 15  = 26

Let x be age of Philip's brother.

4 + x +x = 26

2x = 26 -2

2x = 22

x = 22/2

x = 11

Philip's brother is 11 years old

Find the values for x so that the perimeter of this rectangle is no greater than 150 centimeters

Answers

If x and y are the leght of short side of the rectangle

A store sells 6 bottles of water for $2.88. Find the unit price

Answers

Answer:27 ://///

Step-by-step explanation:

Answer:

$.48 per bottle

Step-by-step explanation:

The unit price is the total price divided by the number of items

2.88/6

$.48 per bottle

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Answers

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

how many letters is supercalifragilisticexpialidocious i will give brainlist also give goog explination why i sholud give it to you

Answers

Answer:

Supercalifragilisticexpialidocious is 34 letters long.

Step-by-step explanation:

I see you like Fortnite by your profile picture, I play as well. I'm an OG, I have Black Knight. That's why I think you should give it to me.

еthaȵ is my Epic if you ever want to play.

What is the pattern in the numbers 2,3,5,7,11,13

Answers

Answer:

the number that repeat is number 2

Answer:

+1+2+2+4+2

Step-by-step explanation:

You have solved a radical equation. What should you do to check whether your proposed solution is​ correct?

You should check your proposed solution in any of the equations you found while looking for the solution.

You​ don't need to check whether your proposed solution is correct. You know you followed the proper​ method, so it should be fine.

You should check the proposed solution in the original equation.

You should check the proposed solution in the back of the book because it is always right.

Answers

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

What is a radical?

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

Learn more about the Radical:

https://brainly.com/question/1369233

#SPJ2

How are 18:3 and 6:1 equivalent ratios

Answers

Answer:

You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.

18:3  and 6:1  are equivalent ratio because two ratios are in proportion

Given :

We are given with two ratios 18:3  and 6:1

We need to show that two ratios are equal

Lets take ration 18:3

Both 18  and 3  are divisible by 3

We can write the ratio in fraction form

[tex]\frac{18}{3} \\[/tex]

When we divide both top and bottom by 3  , we get

[tex]\frac{6}{1}[/tex]

we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]

Hence, the ratios are equivalent ratios

18:3  and 6:1  are equivalent ratios

Learn more : brainly.com/question/18431407

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