Respuesta :

Answer:

x=4

Step-by-step explanation:

By SAS we know that

[tex]\triangle ABE \sim \triangle ADC[/tex]

by a ratio of

[tex]1:2[/tex]

so we have

[tex]\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4[/tex]