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In the diagram, the length of segment VS is 39 units.What is the length of segment TV?14 unitsnQ19 units3x + 438 unitsR50 units2x + 56x - 3Save and ExitNextSubmUnmark this question

Respuesta :

From the diagram we know that:

[tex]\begin{gathered} TR=RV \\ TS=\text{VS} \end{gathered}[/tex]

Therefore:

[tex]6x-3=39[/tex]

Solving for x we get:

[tex]\begin{gathered} 6x=42 \\ x=7 \end{gathered}[/tex]

Then:

[tex]\begin{gathered} TV=TR+RV=2RV=2(2x+5)=2(2\cdot7+5) \\ TV=2(19)=38 \end{gathered}[/tex]

Answer: 38 units.

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