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


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Answer:

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In Cynthia's physics class, she must turn in four lab reports. For each report, she earns extra credit if her percent error is less than 5%.
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Answers

Answer:

9.56 Ms2

Step-by-step explanation:

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Answer:

4.91

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trying to find adjacent, you know the angle and hypotenuse, so use the CAH equation

cos(51) x 7.8 = 4.91 (3 s.f.)

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use Pythagoras theorem for this question because this is a right angled triangle

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Answers

Answer:

258 percent

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15.5/6 is 2.58, which is 258 percent

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Answers

Answer:

21.5 cu. cm.

Step-by-step explanation:

Volume of a pyramid is

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In a survey, 90% of dentists recommended sugarless gum for their patients who chew gum. If the total number of dentists surveyed was 80, how many dentists recommended chewing sugarless gum?
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Answers

Answer:

72

Step-by-step explanation:

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Answer:

72 is your answer

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Answers

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1/8 in decimal form is 0.125

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Answers

Answer:

78 degrees

Step-by-step explanation:

hope this is right i added and somehow got this tell me if i got it right or wrong no hate

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Answers

Answer:

B) 7.2 cm / 22.61 cm

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Answer:

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Step-by-step explanation:

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Answers

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

Edit: I had to change cause it was wrong

Answer:

16 inches, 63 inches, and 65 inches

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Answers

Answer:

625

Step-by-step explanation:

Let two number be x and (50-x).

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help me whit this I am confused ​

Answers

Answer: c

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D

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pajsoajssksksjsnsjeieueisjehedie

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You put this on the mathematics section and it’s science.

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Answers

i believe it’s 48 if not then let me know!
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Need help ASAP because it’s hard lol

Answers

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Answer:

y=x+2

Step-by-step explanation:

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Answer:

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will give brainliest

Answers

I believe it should be 5

Step-by-step explanation:

I believe this because 16÷8=2 so 10÷2=5

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

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y = total cost

x = amount of days the car was rented

25 represents the daily charge for the fee and the insurance (15+10=25)

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Answers

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not sure

GOOD LUCK

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jtyuck,

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Answers

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Answers

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Hope it helps

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