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


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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Given that:

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Answer:

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Learn more : brainly.com/question/18431407

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Answers

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

Step-by-step explanation:

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https://brainly.com/question/1369233

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Step-by-step explanation:

Answer:

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