Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
QR is twice as long as PR.
The total length of three roads is 170km.
Work out length of PQ.​

Answers

Answer 1

Answer:

PQ = 35 km

Step-by-step explanation:

Here, we want to get the length of PQ

Let PQ = x

PR is 10 km longer than PQ

PR = 10 + x

QR = 2 * PR

QR = 2(10 + x)

Adding all gives 170;

x + 10 + x + 2(10 + x) = 170

2x + 10 + 20 + 2x = 170

4x + 30 = 170

4x = 170-30

4x = 140

x = 140/4

x = 35 km

PQ = 35 km

Answer 2

The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

What is the length of line segment?

Length of line segment (say YX) is the distance of both the ends of it (y to x).

Towns P, Q and R are connected by roads PQ ,PR and QR.

The line segment PR is 10 km longer than PQ. Therefore,

[tex]PR=PQ+10\\PQ=PR-10[/tex]            ......1

The line segment QR is twice as long as the line segment PR. Therefore,

[tex]QR=2PR[/tex]                 .....2

The total length of three roads is 170 km. Therefore,

[tex]PQ+PR+QR=170[/tex]

Put the value of PR and QR from equation 1 and 2 in the above equation as,

[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]

As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,

[tex]PR=45-10\\PR=35\rm km[/tex]

Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Learn more about the line segment here;

https://brainly.com/question/2437195


Related Questions

Jane goes to an amusement park with her friends. The admission fee to the amusement park is $8 and each ride costs $2. If Kelly has only $32 to spend how many rides can she go on?​

Answers

Answer:

She can ride 12 rides i think if not let me know!

Step-by-step explanation:

32 - 8 then 24 divided by 2

Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
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Answers

Bbbbbbbbbbbbbbbbbbbbbbbbbbvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvc

A store manager earns
$
24.00
per hour. If the manager works
8
hours one day and donates
1
10
of the day’s earnings to charity, how much of the earnings are left?


Answers

Answer:

165.6=x

Step-by-step explanation:

(24.00*8)0.90=x

184.00*0.90=x

165.6=x

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24/8= 3

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DESPERATE WILL GIVE BRAINLIST AND THANKS
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Select each correct answer.


Nonlinear association

Positive association

Linear association

Negative association

Answers

Answer:

D) I think

Step-by-step explanation:

Answer: From the graph all the points are moving in tandem and shows a directly proportional relation between them . Hence, positive linear association best describe the scatter plot.

Step-by-step explanation:

What is the measure of angle B?

A. 75
B. 60
C. 30
D. 38

Answers

Step-by-step explanation:

a = 180-117 = 63

180- (81+63) = 36

5.Regarding the equations below. What is the value of x?

5x + 2y = 4
x – 3y = –23

Answers

Answer:

x=−2

y=7

Step-by-step explanation:

5x+2y=4

x−3y=−23

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x+2y=4,x−3y=−23

To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.

5x+2y=4,5x+5(−3)y=5(−23)

Simplify.

5x+2y=4,5x−15y=−115

Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.

5x−5x+2y+15y=4+115

Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.

2y+15y=4+115

Add 2y to 15y.

17y=4+115

Add 4 to 115.

17y=119

Divide both sides by 17.

y=7

Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.

x−3×7=−23

Multiply −3 times 7.

x−21=−23

Add 21 to both sides of the equation.

x=−2

The system is now solved.

x=−2,y=7

Graph if needed:

∠aangle, a and ∠ b ∠bangle, b are complementary angles. ∠ a ∠aangle, a measures 5 5 ∘ 55 ∘ 55, degrees. What is the measure of ∠ b ∠bangle, b?

Answers

Answer:

∠b=35

Step-by-step explanation:

Hello There!

Complementary angles add up to equal 90

so to find the measure of angle B we subtract the given angle from 90

90-55=35

so we can conclude that ∠b = 35

3 (x – 1 ) + 4 ( x + 2 )

Answers

Answer:

7x + 5

Step-by-step explanation:

Let's simplify step-by-step.

3(x−1)+4(x+2)

Distribute:

=(3)(x)+(3)(−1)+(4)(x)+(4)(2)

=3x+−3+4x+8

Combine Like Terms:

=3x+−3+4x+8

=(3x+4x)+(−3+8)

=7x+5

-Bacon

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Answers

Answer:

n=40

Step-by-step explanation:

divide 32 by 80

32/80=0.4

0.4x100=40

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Last Monday, a parking lot had 80 cars. Of those 80 cars, 40% were silver, 20 were red, and the rest were white. What percent of the cars were white?
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Answers

Answer: 28

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Alyson opened a savings account with
$100. She saves $50 per month. Which
equation shows how many months, m,
Alyson will have to save to have a total of
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Answers

Answer:

3 more months to get $250.

Step-by-step explanation:

She had 100 in her account. Thats 2 months. 3 months would give her 150 more dollars. So 100 + 150 = 250

Find the diameter and radius of a circle with the given circumference. C = 9cm *

Answers

Answer:

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Step-by-step explanation:

C=2πr

A=2·π·4.5

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(round up by the nearest hundreth. very sorry if i get this question wrong.)

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

mark as brainliest it is right

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Undefined

Step-by-step explanation:

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Let your points (5, 6) be (x₁, y₁) and (5,-8) be (x₂, y₂). Therefore you have

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Answers

Answer:

yes

Step-by-step explanation:

0 is just a place holder

Answer: yes

Step-by-step explanation:

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Answers

Answer:

Center: (0,0)   coefficient: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The side of the smaller polygon is 1/3 the size of the larger one, and that is why the coefficient is 1/3.

Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.

What is dilation?

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From the diagram:

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Find out more on dilation at: https://brainly.com/question/10253650

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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I will give brainlits and start pls help




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5
y
4
3
N
1
0
-1
-2
الفا
4
-5
-6
-5
-2
-4
-1
0 1
-3
2
5
2
6
3
á
?
y = 3x - 3

Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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-x y (x - y) (x + y)

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Real roots:

x = 0

y = 0

Roots:

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hope this helps

Step-by-step explanation:

Answer

A

Step-by-step explanation:

help you will get brainliest if you are right

Answers

Step-by-step explanation:

1-b 2-c 3-d 4-a yep I belive this is correct sorry if I'm wrong

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