julyssazmartinez2024 julyssazmartinez2024
  • 23-09-2021
  • Mathematics
contestada

DF=78, DE=5x-9, and EF-2x+10, find EF

Respuesta :

dakocoop05
dakocoop05 dakocoop05
  • 23-09-2021

Answer:

As e is point between df. So we can write df as

df = de + ef

As given df = 78 , de = 5x - 9 , ef = 2x + 10.

So we can write

78 = 5x - 9 + 2x + 10

78 = 7x + 1

On subtracting 1 on booth side

78 - 1 = 7x +1 - 1

77 = 7x

On dividing both side by 7.

11 = x

So x = 11.

So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32

Step-by-step explanation:

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