ForeverVannity
ForeverVannity ForeverVannity
  • 16-01-2021
  • Mathematics
contestada

Find the value of x.​

Find the value of x class=

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leena
leena leena
  • 16-01-2021

Hello!

[tex]\large\boxed{x = 6}[/tex]

The figure pictured contains two congruent triangles (ASA), so we can assume that:

JK ≅ JM

Therefore:

2x - 4 = 4x - 16

Subtract 2x from both sides:

2x - 2x - 4 = 4x - 2x - 16

-4 = 2x - 16

Add 16 to both sides:

-4 + 16 = 2x - 16 + 16

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

x = 6.

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