If (Triangle)ABC is similar to (Triangle)EDC, what is the value of x?

Answer:
37.5 (G)
Step-by-step explanation:
Set up a proportion:
[tex] \frac{40}{100} = \frac{15}{x} [/tex]
Next cross multiply
[tex](15)(100) = (40)(x)[/tex]
[tex]1500 = 40x[/tex]
Lastly solve for x by dividing both sides by 40
[tex]\frac{1500}{40} = \frac{40x}{40} [/tex]
[tex]x = 37.5[/tex]