kimberlyap1003 kimberlyap1003
  • 08-09-2020
  • Mathematics
contestada

U is the midpoint of TV . If TU = x + 8 and UV = 2x, what is TU?

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bekkarmahdi702
bekkarmahdi702 bekkarmahdi702
  • 08-09-2020

Answer:

16

Step-by-step explanation:

U is the midpoint of TV ⇒ TV = TU + UV

TU and UV equals each others since U is the midpoint of TV

  • UV = TU ⇒   [tex]x+ 8 = 2x \\[/tex]

                          add -x to both sides

                           [tex]x + 8 -x = 2x - x \\8 = x \\x = 8[/tex]

  • TU = [tex]x + 8[/tex] ⇒ TU = [tex]8 + 8[/tex] = [tex]16[/tex]
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