justinfrometa
justinfrometa justinfrometa
  • 02-02-2021
  • Mathematics
contestada

Find the length AB ?

Find the length AB class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-02-2021

Answer:

AB = 54

Step-by-step explanation:

DE is a midsegment of the triangle and is half of AB , that is

2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction

4x + 26 = 13x - 37 ( subtract 13x from both sides )

- 9x + 26 = - 37 ( subtract 26 from both sides )

- 9x = - 63 ( divide both sides by - 9 )

x = 7

Thus

AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54

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