Wilson2000 Wilson2000
  • 01-03-2019
  • Mathematics
contestada

What is the value of x?

What is the value of x class=

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 01-03-2019

Answer:

The value of x = 2

Step-by-step explanation:

∵ EA and ED are secant at points B and C

∴ EB × EA = EC × ED

∵ EB = x + 1 ⇒ ∵ BA = 11 ⇒ ∴ EA = x + 1 + 11 = x + 12

∵ EC = x + 4 ⇒ ∵ CD = 1 ⇒ ∴ ED = x + 4 + 1 = x + 5

∴ (x + 1) × (x + 12) = (x + 4) × (x + 5)

∴ x² + 13x + 12 = x² + 9x +20

∴ 13x - 9x = 20 - 12

∴ 4x = 8

∴ x = 8 ÷ 4 = 2

∴ The value of x = 2

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