4. In the given figure, if AB|| DC, the value of x will be D С x-2 x+3 O x-1 x + 5 A B. (a) 3 (c) 7 (b) 6 (d) 8 TY
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Answer:
Option C) 7
Step-by-step explanation:
AO/OC=BO/OD
x+5/x+3 = x-1/x-2
(x+3)(x-1) = (x+5)(x-2)
x2-x+3x-3 = x2-2x+5x-10
x2+2x-3 = x2+3x-10 (Cancelling all like terms then transposing)
2x-3=3x-10
-3+10 = 3x-2x
x = 7
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