Question

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

Answer 1

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

What is the Segment Addition Theorem?

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

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