Math, asked by pnishanthreddy2004, 11 months ago

3.
What value of 'x' will make DE || AB in the given figure?
AD = 8x + 9. CD = x + 3. BE = 3x + 4, CE = X.​

Answers

Answered by srinvasan58
4

Answer:

i don't no the answer

Step-by-step explanation:

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Answered by Anonymous
1

Given, DE//AB.

\frac{AD}{DC}  =  \frac{BE}{EC}  \\ \\   \frac{8x + 9}{x + 3}  =  \frac{3x + 4}{x}  \\  \\  {8x}^{2} +9x= {3x}^{2} +13x+12 \\  \\  {5x}^{2} −4x−12=0 \\  \\  {5x}^{2} −10x+6x−12=0  \\  \\ 5x(x−2)+6(x−2)=0 \\  \\ (5x+6)(x−2)=0 \\  \\ x =  \frac{ - 6}{5}  \: and  \: 2

Therefore x is 2.

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