Respuesta :

MrRoyal

Answer:

[tex]TU = 1[/tex]

Explanation:

Given

[tex]TV = 3x[/tex]

[tex]UV = x + 1[/tex]

[tex]TU = x[/tex]

Required

Determine TU

Since U lies on TV, then

[tex]TV = TU + UV[/tex]

Substitute values for TV, TU and UV

[tex]3x = x + x + 1[/tex]

[tex]3x = 2x + 1[/tex]

Collect Like Terms

[tex]3x- 2x = 1[/tex]

[tex]x = 1[/tex]

Recall that [tex]TU = x[/tex]

Then

[tex]TU = 1[/tex]

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