23morrissettea
23morrissettea 23morrissettea
  • 20-01-2022
  • Mathematics
contestada

please find the value of x in the figure

please find the value of x in the figure class=

Respuesta :

devishri1977
devishri1977 devishri1977
  • 20-01-2022

Answer:

Step-by-step explanation:

E is the midpoint of Ac & D is the midpoint of AB

DE = (1/2)BC        {Midpoint theorem}

[tex]x +1 = \dfrac{1}{2}(4x - 6)\\\\\\ Multiply \ the \ whole \ equation \ by 2\\\\ 2*(x+1) =2*\dfrac{1}{2}*(4x - 6)[/tex]

2*x + 2*1 = 4x - 6

2x + 2 = 4x - 6

Add 6 to both sides

2x + 2 + 6 = 4x

2x + 8 = 4x

Subtract 2x from both sides

8 = 4x - 2x

2x = 8

Divide both sides by 2

x = 8/2

x = 4

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