questionman1775 questionman1775
  • 13-01-2021
  • Mathematics
contestada

AB is half of GJ. AB= x+11 and GJ = 2x + 5 what is AB ( also this is proven with mid segment theorem I think so yea)

Respuesta :

Muscardinus Muscardinus
  • 14-01-2021

Answer:

AB = 2.5

Step-by-step explanation:

Given that,

AB is half of GJ.

[tex]AB =\dfrac{GJ}{2}[/tex]

Also, AB = 2x+11 and GJ = 2x + 5

We need to find the value of AB.

ATQ,

[tex]2x+11=\dfrac{2x+5}{2}\\\\\text{Cross multiplying both sides}\\\\4x+22=2x+5\\\\4x-2x = -22+5\\\\2x=-17\\\\x=-8.5[/tex]

So,

AB = x+11

= -8.5 + 11

= 2.5

Hence, the value of AB is 2.5.

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