The triangles below are congruent, with △abc ≅ △def. the following lengths are given in centimeters: ab= x + 1, ac= x, bc= x + 2, and df= 3x − 8. what is the value of x? !

x is 4.

AC = DF

Substitute:

x = 3x-8

Combine like terms:

x - 3x = -8
-2x = -8

Divide both equations by -2.

x = 4

I hope this helps. :-)

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