186k views
3 votes
5. If AKLJ - AVWU, find the value of x.

5. If AKLJ - AVWU, find the value of x.-example-1

1 Answer

6 votes

The triangles are similar according to the question. Therefore, the following ratio can be formed


\begin{gathered} (25)/(20)=(4x-23)/(2x+2) \\ \text{cross multiply} \\ 25(2x+2)=20(4x-23) \\ 50x+50=80x-460 \\ 50x-80x=-460-50 \\ -30x=-510 \\ x=(-510)/(-30) \\ x=17 \end{gathered}

User Dom Day
by
3.9k points