In the diagram, the length of segment TR can be represented by 5x – 4. Line n is a perpendicular bisector of line segment T V. It intersects line segment T V at point R. Line n also contains points Q and S. Line segment Q V is 3 x + 4. Line segment R V is 2 x + 5. Line segment T S is 6 x minus 3. What is the length of segment VS? 3 units 11 units 13 units 15 units

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Answer:

15

Step-by-step explanation:

The answer is 15 because you have to solve the equation which gets you 15

first cancel out the x

Then you will get ur answer

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The measure of length VS is 15 units

Given the following segments:

TR = 5x - 4

RV = 2x + 5

From the attached diagram, we can see that;

  • TR = RV

Hence;

[tex]5x - 4 = 2x + 5\\5x - 2x = 5 + 4\\3x = 9\\x = 9/3\\x = 3\\[/tex]

Also, VS = ST = 6x - 3

Substitute x = 3 into the expression:

VS = 6x - 3

VS = 6(3) - 3

VS = 18 - 3

VS = 15units

Hence the measure of length VS is 15 units

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