46,516 views
42 votes
42 votes
In the diagram below, AB//DE. Find the value of x, to the nearest tenth

In the diagram below, AB//DE. Find the value of x, to the nearest tenth-example-1
User Rafl
by
3.0k points

1 Answer

23 votes
23 votes

Solution

using similar triangle ABC and DEC


\begin{gathered} (11)/(x+15)=(7)/(15) \\ \text{cross multiply} \\ 7(x+15)=11*15 \\ 7x+105=165 \\ \text{collect the like terms} \\ 7x=165-105 \\ 7x=60 \\ \text{Dividing both sides by 7} \\ x=8.6\text{ nearest tenth} \end{gathered}

The value for x is 8.6 nearest tenth

User MuellerSeb
by
2.7k points