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avanturin [10]
2 years ago
10

If UV = 8x, VW=x+1, and UW=10,what is VW?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
7 0

Applying the segment addition theorem, the length of line segment VW is: 2 units.

<h3>What is the Segment Addition Theorem?</h3>

The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.

UV = 8x

VW = x+1

UW = 10

UV + VW = UW (segment addition theorem)

Substitute the values

8x + (x + 1) = 10

Open bracket

8x + x + 1 = 10

Combine like terms

9x + 1 = 10

Subtract 1 from both sides

9x + 1 - 1 = 10 - 1

9x = 9

Divide both sides by 9

9x/9 = 9/9

x = 1

VW = 8x + (x + 1)

Plug in the value of x

VW = x + 1

VW = 1 + 1

VW = 2 units.

Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.

Learn more about the segment addition theorem on:

brainly.com/question/1397818

#SPJ1

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Step-by-step explanation:

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Answer: 3

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Find the width of a rectangle 25 feet and the perimeter is 80​
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\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>rectangle </u><u>with </u><u>length</u><u> </u><u>2</u><u>5</u><u> </u><u>feet </u><u>and </u><u>perimeter </u><u>8</u><u>0</u><u> </u><u>feet</u>

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We know that ,

\bold{Perimeter \: of \: rectangle = 2(l + b)} \\

where <u>b </u><u>=</u><u> </u><u>width </u><u>/</u><u> </u><u>breadth</u> of rectangle

‎ ‎ ‎

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>stated </u><u>above </u><u>,</u>

\bold{80  = 2(25 + b)} \\  \\\bold{ \implies \: 25 + b = \cancel \frac{80}{2} } \\  \\ \bold{\implies \: 25 + b = 40 }\\  \\ \bold{\implies \: b = 40 - 25 }\\  \\\bold{ \implies \: b = 15 \: feet}

hope helpful ~

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Read 2 more answers
mike drove to a frineds house at the rage of 40 mph. he returned hoke by the dsne route at 45 mph the driving time for the round
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Time taken by Mike to go to his friend's house = x / 40 hours

Time taken by him to return = x / 45 hours

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= x = 1440 ÷ 7

= x = 84.706

Time taken to return home = 84.706 /45= 1.882 hours .

Therefore , Mike took 1.882 hours to reach home .

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