Answer:
x = 18
Step-by-step explanation:
Look at the picture.
ΔABC and ΔDBE are similar.Therefore the corresponding sides are in proportion:
[tex]\dfrac{DE}{AC}=\dfrac{DB}{AB}[/tex]
We have
[tex]DE=x,\ AC=36,\ DB=y,\ AB=y+y=2y[/tex]
Substitute:
[tex]\dfrac{x}{36}=\dfrac{y}{2y}[/tex] cancel y
[tex]\dfrac{x}{36}=\dfrac{1}{2}[/tex] cross multiply
[tex]2x=36[/tex] divide both sides by 2
[tex]x=18[/tex]
