Answer:
x = 5 and y = 14
Step-by-step explanation:
Given [tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF.
Congruent triangles have congruent corresponding parts, so
[tex]AB\cong DE\\ \\AC\cong DF\\ \\BC\cong EF[/tex]
Since
[tex]AB=8\\ \\BC=19\\ \\AC=14\\ \\EF=4x-1\\ \\DE=y-6,[/tex]
then
[tex]4x-1=19\\ \\4x=19+1\\ \\4x=20\\ \\x=5[/tex]
and
[tex]y-6=8\\ \\y=8+6\\ \\y=14[/tex]
