Answer:
x = 1
Step-by-step explanation:
Look a t the picture.
The triangles on the picture are similar.
Therefore the sides are in proportion:
[tex]\dfrac{8x}{10}=\dfrac{4}{5x}[/tex] cross multiply
[tex](8x)(5x)=(4)(10)[/tex]
[tex]40x^2=40[/tex] divide both sides by 40
[tex]x^2=1\to x=\sqrt1\\\\x=1[/tex]
