Question

for DE to be parallel ( frac{A D}{D B}=frac{A E}{E C} )
( frac{x+10}{4 x+10}=frac{x+6}{x+10} )
( (x+10)^{2}=(x+6)(4 x+10) )
( x^{2}+100+20 x=4 x^{2}+34 x+60 )
( x^{2}-14 x+40=0 )
( x^{2}-10 x-4 x+40=0 )
( x=10,4 )

# 4. In the figure, for what value of x will seg DE be parallel to AB? sto x + 10% x + 6 4x + 10 X + 10 (A) 2 (B) 3 (C) 20 (D) 2 and 20

Solution