Question

In the diagram below, AB//DE. Find the value of x, to the nearest tenth

Answer 1

Solution

using similar triangle ABC and DEC

$\begin{gathered} \frac{11}{x+15}=\frac{7}{15} \\ \text{cross multiply} \\ 7(x+15)=11\times15 \\ 7x+105=165 \\ \text{collect the like terms} \\ 7x=165-105 \\ 7x=60 \\ \text{Dividing both sides by 7} \\ x=8.6\text{ nearest tenth} \end{gathered}$

The value for x is 8.6 nearest tenth