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5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
x. It would be helpful to draw two congruent triangles and carefully label the three vertices on each.

Respuesta :

calculista

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

[tex]8=2x-6[/tex]

Solve for x

[tex]2x=8+6[/tex]

[tex]2x=14[/tex]

[tex]x=7[/tex]

therefore

The value of x is 7

The draw in the attached figure

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