Answer:
x=16
Step-by-step explanation:
Since triangle DGH is parallel to trianle DBN, the corresponding sides are also proportional.
We have [tex]\frac{DN}{DH}=\frac{DB}{DG}[/tex]
This implies that:
[tex]\frac{40}{40+x}=\frac{30}{42}[/tex]
We cross multiply to get;
[tex]30(40+x)=42*40[/tex]
This implies that:
[tex](x+40)=14*4[/tex]
[tex]x+40=56[/tex]
[tex]x=56-40[/tex]
[tex]x=16[/tex]
