Respuesta :

Answer:

[tex]x=10[/tex]

[tex]z=2[/tex]

[tex]y=5[/tex]

Step-by-step explanation:

We know the triangles are congruent, therefore, each corresponding side of the triangle is also congruent!

1) Set EF≅CB

[tex]x+15=2x+5[/tex]

[tex]x+10=2x[/tex]

[tex]x=10[/tex]

2) Set ED≅CA

[tex]10z-5=3z+9[/tex]

[tex]10z=3z+14[/tex]

[tex]7z=14[/tex]

[tex]z=2[/tex]

3) Set DF≅AB

[tex]4y=8y-20[/tex]

[tex]-4y=-20[/tex]

[tex]y=5[/tex]

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