4. In the figure, for what value of...
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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

11th - 12th Class
Maths
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221
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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 )
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