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Mathematics 17 Online
Nnesha (nnesha):

need help parallel lines and proportional parts

Nnesha (nnesha):

ganeshie8 (ganeshie8):

ye since the lines are parallel, the segments formed by transversals will be proportional

ganeshie8 (ganeshie8):

\[\large \dfrac{3x}{5} = \dfrac{\frac{2}{5}-x}{x}\]

Nnesha (nnesha):

can i divide 2/5 first and then cross multiplication

ganeshie8 (ganeshie8):

thats a good idea multiply 5 top and bottom on right hand side

ganeshie8 (ganeshie8):

you get : \[\large \dfrac{3x}{5} = \dfrac{2-5x}{5x}\]

Nnesha (nnesha):

i get x= -2/3 and x= -1 is this right

ganeshie8 (ganeshie8):

you should get x=-2 and x = 1/3 http://www.wolframalpha.com/input/?i=solve++%5Cdfrac%7B3x%7D%7B5%7D+%3D+%5Cdfrac%7B2-5x%7D%7B5x%7D

ganeshie8 (ganeshie8):

and you need to discard x=-2 as it makes a length to be negative which is not possible so the only value possible for x is 1/3

Nnesha (nnesha):

oh yes you are right ans is 1/3

Nnesha (nnesha):

thank you sooo much

Nnesha (nnesha):

i really really really appreciate it

ganeshie8 (ganeshie8):

np, yw :)

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