Answer:
[tex]x=25[/tex]
Step-by-step explanation:
we know that
DGH ~ DEF ---> given problem
Remember that
If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent
so
[tex]\frac{DG}{DE}=\frac{GH}{EF}[/tex]
substitute the given values
[tex]\frac{52}{91}=\frac{x+3}{2x-1}[/tex]
[tex](2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25[/tex]
