Question

A.

2x
Find the value of x.
D
X+5
x = [?]
B
4
E
3
C

Answer 1

Check the picture below.

now let's take a looksie at the triangles, well segments DE || AC, that only happens if segment DE is the midsegment of the triangle ABC, which also means that both triangles are similar

`\cfrac{AB}{DB}=\cfrac{BC}{BE}\implies \cfrac{(2x)+(x+5)}{x+5}=\cfrac{4+3}{4}\implies \cfrac{3x+5}{x+5}=\cfrac{7}{4} \\\\\\ 12x+20=7x+35\implies 5x+20=35\implies 5x=15\implies x=\cfrac{15}{5}\implies x=3`