The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ:QR:RSPQ:QR:RS is equal to 1:3:1.1:3:1. If PS=35,PS=35, find PR.PR.

Answers

Answer 1

The distance of PR is 21

Given,

The points P, Q, R and S all lie on the same line segment.

The ratios;

PQ:QR:RS = 1:3:1.

Distance of PS = 35

We have to find the distance of PR.

A line segment is a piece of a straight line that has all of the points on the line contained within and is bounded by two distinct endpoints. A line segment's length is determined by the Euclidean distance that separates its two ends.

Here,

PQ : QR : RS = 1 : 3 : 1.

Now let PQ = x, QR = 3x and RS = x.

Therefore,

PQ + PR + RS = PS.

x + 3x + x = 35

5x = 35

x = 7

Therefore,

PR = 3x

PR = 3 × 7

PR = 21

The distance of PR is 21

Learn more about line segment here;

https://brainly.com/question/28793582

#SPJ1


Related Questions

What is the slope and equation of a line that is perpendicular to the y-axis and passes through the point (3,12)


A. The slope is undefined and the equation of the line is y=12.


B. The slope is zero and the equation of the line is x=3.


C. The dlope is zero and the equation of the line is y=12.


D. The slope is undefined and the equation of the line is x=3.

Answers

Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.

What is equation of line?

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.

Here,

Since the Y-axis is vertical, a line perpendicular to it would be horizontal..  The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.

If we start with the slope-intercept form of an equation of a line

Y = mX + b,

we can write Y = 0X + (12)

Y =12

Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.

To know more about equation,

https://brainly.com/question/10724260

#SPJ4

how many degrees in a right angle​

Answers

Answer:

90 degrees is the amount of degrees in a right angle

Find the ratio of men to women in a bowling league containing 12 men and 8 women. Write in lowest terms

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Divide the top and bottom on the fraction by 4

Answer- 3/2: divide the top and bottom on the fraction by 4

Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60%, percent of his collection.
How many toy cars does Samuel have?

Answers

Answer:

45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

         27 = 60% of C                         C is the total cars in the collection

         27 = .60 C

         27 / .60 = C

         45 = C

Hope this helps! :)

∠A=5x−12 ∘ start color #11accd, angle, A, equals, 5, x, minus, 12, degrees, end color #11accd \qquad \green{\angle B=2x + 24^\circ}∠B=2x+24 ∘

Answers

The solution to the variable x is 12 and the measure of ∠B is 48°.

How to solve congruent angles?

∠A = 5x−12°

∠B = 2x+24°

Angle A and Angle B are congruent angles.

Congruent angles are angles with the same or equal measures.

So,

∠A = ∠B

5x - 12 = 2x + 24

collect like terms

5x - 2x = 24 + 12

3x = 36

divide both sides by 3

x = 36/3

x = 12

So therefore,

∠A = 5x−12°

= 5(12) - 12

= 60 - 12

= 48°

∠B = 2x+24°

= 2(12) + 24

= 24 + 24

= 48°

Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.

Read more on congruent angle:

https://brainly.com/question/15443192

#SPJ1

A bag contains 150 marbles. Some are blue the rest is white. There are 21 blue marvles for every 4 white marbles. How many blue marbles are there.

Answers

There are 126 blue marbles.

Total marbles in the bag=150

There are 21 blue marbles for every 4 white marbles then the sequence will be⇒ 4+21+4+21+4+21+4+21+4+21+4+21=150

21 blue marbles appear 6 times for every 4 blue marbles

So 21×6=126 blue marbles and 4×6=24, then 126+24=150 total marbles

∴There will be a total of 126 blue marbles along with 24 white marbles among the 150 marbles.

the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that thesum of the four numbers on each face is the same. what is this common sum?

Answers

The common sum is 18 as "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same".

What is sum?

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. The outcome or conclusion we arrive at when we add two or more numbers is known as the SUM. Addends are the numbers that are added.

Here,

The sum of the numbers on one face of the cube is equal to the sum of the numbers on the opposite face of the cube; these 8 numbers represent all of the vertices of the cube.

=(1+2+3+4+5+6+7+8)/2

=18

Since "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same," the common sum is 18.

To know more about sum,

https://brainly.com/question/25521104?referrer=searchResults

#SPJ4

pls help asap giving 50 points Farmer A planted green beans and corn at a ratio of 5:3. Farmer B planted green beans and corn at a ratio of 3:2.

Which farmer planted a greater ratio of green beans to corn?

Answers

Farmer A planted a greater ratio of green beans to corn

How to find the farmer that planted a greater ratio of green beans to corn?

Ratio is defined as the comparison of two quantities (a and b) of the same units which indicates how much of one quantity is present in the other quantity. They are written a / b, where b does not equal 0

Given that:  Farmer A planted green beans and corn at a ratio of 5:3 and farmer B planted green beans and corn at a ratio of 3:2

To find the greater ratio treat the ratio as a fraction:

Farmer A => 5:3  and Farmer B => 3:2

5/3  and  3/2      (LCM of 2 and 3 is 6)

10/6 and 9/6

10:6 and 9:6

Since 10:6 is greater than 9:6. Therefore, Farmer A planted a greater ratio of green beans to corn

Learn more about ratios on:

brainly.com/question/2328454

#SPJ1

calculate a 95% confidence interval for the effect of a one unit increase in exercise on resting heart rate for a non-smoker

Answers

A level of confidence of 95% was used in the case above. A table at the back of a statistics textbook can be used to get the value of z* for a certain confidence level. For a 95% confidence level, the value of z* is 1.96.

 An error margin of 3.92 is discovered when the value of z*, the demographic standard error, and the sample size are entered into the equation.

Statistical Estimation's Justification

Where does the confidence interval calculation formula come from?

The population mean's true value is never known; it can only ever be estimated or approximated. The easiest way of doing this is to choose many identical-sized random samples from the population.

To know more about the heart rate of a non-smoker, use the link below.

https://brainly.com/question/13291401?referrer=searchResults

#SPJ4

help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.64 feet

Step-by-step explanation:

make h the subject of this expression

[tex]t = \sqrt{ \frac{h}{16} } [/tex]

[tex] {t}^{2} = \frac{h}{16} [/tex]

[tex]h = 16 {t}^{2} [/tex]

then substitute in the value of t=0.2 into the equation of h:

h = 16 × (0.2)² = 0.64 feet(answer)

help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

(2,-2)
-2 axis
Downwards

A police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets. Should he be on a perpendicular bisector, a median, an angle bisector, or an altitude?
ALSO… Draw a picture to show solution to this problem and label all parts of your picture and the name of the segment the police officer should use.

Answers

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

What is a perpendicular bisector?

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

Perpendicular bisector: A line that bisects a line segment in two equal parts.

Median: The middle number; found by ordering all data points and picking out the one in the middle.

Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

Therefore, a police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

Learn more about the perpendicular bisector here:

https://brainly.com/question/24753075.

#SPJ1

What id an equation of a line in point-slope form that passes theough (1,-7) and has a slope of -2/3?

Answers

(y + 7) = -2/3(x - 1) is the point-slope form of the equation of a line passing through (1, -7) and having a slope of -2/3.

How to calculate a line's equation in point-slope form

The query revealed information include

a slope of -2/3

point (1, -7)

Describe a linear function.

Those functions with exponents of 1 are known as linear functions.

The form represents the equation of a line in point-slope form.

(y - y₁) = m (x - x₁)

Variables in the y direction are described by  (y and y₁).

variables in the x direction are described by (x and x₁).

m = slope

substituting into the slope and point (1, -7) equation gives

()y + 7) = -2/3 (x - 1)

Learn more about linear functions at:

brainly.com/question/29213643

#SPJ1

Select the correct answer.
What is the domain of function f?

Answers

Answer:

D

Step-by-step explanation:

The domain of this function is all real numbers because you can see that there are no endpoints on the graph. The function is going off of the graph, which means it is continuing aka never-ending.

(-∞,∞) aka all real numbers

SOLVE FOR X answer .

Answers

Answer:

31

Step-by-step explanation:

x+10+2x+20+2x-5=180

5x+25=180

5x=155

x=31

When parallel lines are cut by a transversal, then

Answers

Answer:

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

please I need help asap​

Answers

x=-2 , y= -4

x=-1 , y= -3.5

x=0 , y= -3

x=1 , y= -2.5

x=2 , y= 4

just plug in the x value into the equation where you see x and you’ll get your answer. for example:

the first one where x is -2:

y= 0.5(-2) - 3
y= -4

and the same goes for every one of them

Angie bikes for 20 minutes burning 150 calories. How many calories will he burn if he bikes for 25 minutes

Answers

Answer:

I think it's 187.5

Step-by-step explanation:

I divided 150 by 20 and got 7.5.

i multiplied 7.5 by 25 and got 187.5

Hop this is correct and helps you.

50 POINTS

You are looking at starting a summer business mowing lawns to get started. You already need to purchase some items investing in your business. You already have a lawnmower, but below are the items you still need to purchase.

what is the total amount you plan to invest in your lawn mowing business? [__]

1. You just determined how much you are willing to invest to get your summer job started. Write an inequality to represent when you start making a profit if you charge $15 to mow one lawn.

2. at the end of the summer, you have mowed a total of 16 lawns right in equation that represents your total earnings. How much did you earn? [Show your work]

with investment costs taken into account, did you:
a. lose money
b. make money

Answers

Regarding the situation described, it is found that:

The total amount invested is of $25.

1. You start making a profit when 15x - 25 > 0.

2. You earned $215 with this work.

With the investment, you made money (option b).

What is the total amount investment?

The investment was as follows:

Pack of 50 lawn bags for $10.Eye protecting glasses for $15.

Hence the total amount invested was of:

10 + 15 = $25.

What is the profit inequality?

The profit is given by revenue subtracted by costs.

In the context of this problem, the revenue and the cost functions are given as follows:

Revenue: R(x) = 15x (as you charge $15 to mow one lawn).Cost: C(x) = 25. (investment).

Hence the profit function is:

P(x) = R(x) - C(x)

P(x) = 15x - 25.

You start making a profit when:

P(x) > 0.

15x - 25 > 0.

The amount you earned mowing 16 lawns is of:

P(16) = 15(16) - 25 = $215.

(positive profit, hence you made money).

More can be learned about inequalities at https://brainly.com/question/25275758

#SPJ1

a rectangle has length 3 cm greater than it’s width. If it has an area of 28cm 2, find the dimensions of the rectangle

Answers

The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

A rectangle has length 3 cm greater than it’s width

Consider the width of the rectangle = x

The length of the the rectangle = x + 3

The area of the rectangle = 28 square centimeter

The area of the rectangle = The length of the the rectangle × The width of the rectangle

Substitute the values in the equation

x(x+3) = 28

Apply the distributive property

[tex]x^2[/tex]  + 3x = 28

[tex]x^2[/tex] + 3x -28 = 0

Split the middle term and solve the equation

[tex]x^2[/tex] -4x + 7x -28 = 0

Take common term outside

x(x-4) + 7(x-4) =0

Take common term outside

(x+7) (x-4) = 0

x = -7, 4

The length cannot be negative value

x = 4 centimeter

Then the length of the rectangle = x + 3

= 4 +3

= 7 centimeter

Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

Learn more about area here

brainly.com/question/20693059

#SPJ9

In one study of burmese pythons it took a snake an a stage of 25/4 days to gain 1/8 of weight. at that rate how long does it take a snake to gain 1 pound?

Answers

At the rate of variation of 50 days/pound the snake gain 1 pound.

The mathematical expression for the percentage difference change over a predetermined period is called the rate of variation, which also denotes the movement of a variable. It allows us to understand how 2 factors that are changing interact with one another.

A snake takes 25 ÷ 4 days to gain 1 ÷ 8 pounds of weight,

a) Gain 1 pound need take: (25 ÷ 4) × 8 = 50 days

b) In one year = 365 days

= (25 ÷ 4) × (1 ÷ 8)

= (25 ÷ 4) × 8

= 50 days/pound.

So, the snake gained(1 ÷ 50) pounds one day.

In one year: (1 ÷ 50) × 365 = 7.3 pound

Learn more about the rate of variation of change at

https://brainly.com/question/12786410?referrer=searchResults

#SPJ4

Alvin's bill for dinner at a restaurant was $96. He left a 20% tip. What was the amount of
the tip?

Answers

Answer:$ 17.28

Step-by-step explanation:

96 x .20=19.2
When you are finding percent just go two decimals to the right
Exp: 13%=.13

A,B and C form a triangle where ∠BAC=90∘.AB=7 mm and BC=13.8 mm. Find the length of AC, giving your answer rounded to 1 decimal place.

Answers

The length of AC which is the hypothenuse is equal 15.5mm

Pythagoras Theorem

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

In this question, triangle ABC forms a right-angle triangle at angle B and this makes it possible to use Pythagoras theorem.

AB = leg = 7mmBC = leg = 13.8mmAC = hypothenuse = ?

Using the formula;

AC² = AB²  + BC²

AC²  = 7²  + 13.8²

AC = 15.5mm

The length of the hypothenuse is 15..5mm

Learn more on Pythagoras theorem here

https://brainly.com/question/231802

#SPJ1

A hardware store is having a 35%-off sale. If an item has a list price of $16.20, what is the item's sale price?
$12.80
$9.67
$10.53
$12.15
$11.60

Answers

Answer:

10.53

Step-by-step explanation:

hope it helps :)

answer this and u a big W if u dont ur a L

Answers

Answer:

Part A. (4,5)

Part B. (9,7)

Step-by-step explanation:

Look at the x an y. X is bottom numbers Y is the vertical numbers. Look at A then B and boom you would get what i got.

please help me.

5x + (-y) +8 -6x +9y (Evaluate X=4 and Y=-2)​

Answers

Answer:

answer: -35

Step-by-step explanation:

if it's not sorry

Answer:

-12

Step-by-step explanation:

5x+(-y)+8-6x+9y

where x=4 and y=-25(4) +(-(2))+8 -6(4) + 9(-2)20+2+8-24-1830-42-12

4 friends want to take a vacation together. Each person has 8 weeks to save $720 for the vacation. Analyze the 4 individual plans below and decide which of the 4 people will reach his or her goal.

a) Friend A: Works 6 hours per week at $13.90 per hour
b) Friend B: Works 7.5 hours per week at $11.70 per hour
c) Friend C: Works 9 hours per week at $10.50 per hour
d) Friend D: Works 5.5 hours per week at $15.60 per hour

Answers

The person from the 4 people that will reach his or her goal is Friend C.

How to calculate the amount?

Friend A: Works 6 hours per week at $13.90 per hour. The amount in 8 weeks will be:

= 6 × $13.90 × 8

= $667.2

b) Friend B: Works 7.5 hours per week at $11.70 per hour. The amount in 8 weeks will be:

= 7.5 × 11.70 × 8

= $702

c) Friend C: Works 9 hours per week at $10.50 per hour. The amount in 8 weeks will be:

= 9 × $10.50 × 8

= $756

d) Friend D: Works 5.5 hours per week at $15.60 per hour. The amount in 8 weeks will be:

= 5.5 × $15.60 × 8

= $686.40

In this case, C had $756 which is above the amount needed.

Learn more about vacation in:

brainly.com/question/24314569

#SPJ1

A student solves the problem 354 divided by 24. The student finds an answer of 13 R40. Explain how you can tell that the answer is incorrect just by looking at the remainder.

Answers

Answer:

Step-by-step explanation:

When dividing, you always have to make sure that your remainder
(40) is ALWAYS less than your divisor (24)

24<40, so the students' answer is incorrect.

The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the
function p(x) = 225x-(165x+c), where c is a constant. If 75 units were produced and sold last week for a profit
of $3,365, what is the value of c?
-1,135

Answers

Step-by-step explanation:

The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) = 225x-(165x+c), where c is a constant. If 75 units were produced and sold last week for a profit of $3,365, what is the value of c?

$3,365 = 225(75) - (165(75) + c)

$3,365 = 16,875 - 165(75) - c

$3,365 = 16,875 - 12,375 - c

$3,365 = 4,500 - c

=1,135 =  - c

c = 1,135

Find the slope of the line that passes through (10, 6) and (3, 11).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-5/7

Step-by-step explanation:

know what to put here don't know how to explain!

Other Questions
a hospital director is told that 31% of the emergency room visitors are uninsured. the director wants to test the claim that the percentage of uninsured patients is below the expected percentage. a sample of 380 patients found that 95 were uninsured. find the value of the test statistic. round your answer to two decimal places. true or false: organisms intentionally induce mutations to occur in order to help them to adapt to their environment. group of answer choices true false What was Grimk seeking to address in this excerpt? the erie canal connected industry and consumers in the east with what group? southern planters canadian fur traders midwestern farmers new england fishermen Create a Venn diagram comparing your family to the protagonists family a business strategy that integrates the functions of sales, marketing, and customer service, using technology and massive databases of information is called Which of the following courses might a mechanical engineer take in college?Agriculture OperationsOrganic ChemistryEthics in Sustainable AgricultureMolecular Biology a recent study showed that 8 out of 10 drivers rated themselves as above-average drivers. this is likely the result of Explain briefly what idea you think he is expressing here. How does he use the idea of the path and the highway to express his views? Explain the point clearly and be written in 100 words no more than 150 words.I had not lived there a week before my feet wore a path from my door to the pond-side; and though it is five or six years since I trod it, it is still quite distinct. It is true, I fear that others may have fallen into it, and so helped to keep it open. The surface of the earth is soft and impressible by the feet of men; and so with the paths which the mind travels. How worn and dusty, then, must be the highways of the world, how deep the ruts of tradition and conformity! A blue whale weighs about 200 tons. It eats only small sea creatures called krill. The blue whaleeats 2% of its body weight each day. How many tons of krill does the blue whale eat each day?Explain your thinking. Radioactive elements decrease (or decay) exponentially. Suppose that 120 mg of an unknown radioactiveelement decays down to 99 mg after 11 days.(a) What is the half-life of the element? That is, how many days will it take before half of the original samplehas decayed?half-life:days (rounded to at least 2 decimal places)(b) How long will it take for a sample of 99 mg in this scenario to decay to 40 mg?days (rounded to at least 2 decimal places)time needed: Graph the inequality on the axes below 2x+y6 What are three ways that you could participate in local campaigns with your favorite political party?. Antivirus software prevents infection by recording key attributes about your files and checking to see if they change over time in a process called?. finches that live in areas that only have large seeds and small seeds as a food source have adapted their beak sizes in response to this food availability. this is an example of selection. a. directional b. diversifying c. guided d. stabilizing e. uniform Do you think the unofficial titles of some eras (i.e., Age of Fishes, Age of Reptiles,Age of Mammals) are informative or an oversimplification? Explain your reasoning.with alternative unofficial titles based on what you have learned aboutCome upeach era What is most likely suggested by the lines below (lines 7-8)?Yet many a man is making friends with deathEven as I speak, for lack of love alone.Answer choices for the above questionA. The speaker is speaking on behalf of single people everywhere.B. Some people will kill themselves simply because they can't find love.C. People will go so far as to murder people who don't love them back.D. None of the above which of the following racial or ethnic groups has been the most privileged racial or ethnic group in the united states? a.Irish Americans b.Italian Americans c.Middle Eastern d. white Anglo-Saxon Protestants a car speeds up from 22 m/s to 26 m/s in 2 seconds. what is the average acceleration of the car a gyroscope flywheel of radius 2.83 cm is accelerated from rest at 14.2 rad/s2 until its angular speed is 2760 rev/min. (a) what is the tangential acceleration of a point on the rim of the flywheel during this spin-up process? (b) what is the radial acceleration of this point when the flywheel is spinning at full speed? (c) through what distance does a point on the rim move during the spin-up?