AndreNunesF02
Answered

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Solve for x, given that AB ≅ BC.

Solve For X Given That AB BC class=

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

As it's given that AB = BC, so let's plug the value of AB and BC in terms of x and equate them to solve for x ~

that is ~

  • [tex]2x - 1 = x + 4[/tex]

  • [tex]2x - x = 4 + 1[/tex]

  • [tex]x = 5 \: \: units[/tex]

Answer:

See below for answer.

Step-by-step explanation:

AB ≅ BC      Given

2x - 1  = x + 4     Definition of congruent

-x      = -x      

 x - 1 =  4               Add -x to both side of the equation

   +1  =  +1              Add 1 to both sides of the equation  

    x  = 5

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