dessydes dessydes
  • 01-07-2020
  • Mathematics
contestada

Given that TU=8x+11 and UV=12x−1, what are x, TU, UV, and TV?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 06-07-2020

Answer:

x = 3

TU = UV = 35

TV = 70

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram, it can be seen that point U is the midpoint of T and V. This means that TU = UV

Given TU=8x+11 and UV=12x−1

8x+11 = 12x -1

8x-12x = -1-11

-4x = -12

x = 3

Since TU = 8x+11

TU = 8(3)+11

TU = 24+11

TU = 35

Also UV = 12x-1

UV = 12(3)-1

UV = 36- 1

UV = 35

TV = TU+UV

TV = 35+35

TV = 70

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