Question

NB HG thje triangle proportionality theorem was used to create a proportion. what is the value of x?

Answer 1

x=16

Explanation:

Since triangle DGH is parallel to trianle DBN, the corresponding sides are also proportional.

We have
`(DN)/(DH)=(DB)/(DG)`

This implies that:

`(40)/(40+x)=(30)/(42)`

We cross multiply to get;

`30(40+x)=42*40`

This implies that:

`(x+40)=14*4`

`x+40=56`

`x=56-40`

`x=16`