Answer:
56
Step-by-step explanation:
Since the 2 triangles are congruent, the ratio of their sides are also equal. Therefore, we can set up an equation:
[tex]\frac{10}{16}=\frac{3x+2}{5x+1}\\\frac{5}{8}=\frac{3x+2}{5x+1}\\5(5x+1)=8(3x+2)\\25x+5=24x+16\\x=11[/tex]
Now that we know x, we can plug in x as 11 into the expression of DE to solve for DE:
5*11+1
=56
