Look at the figure below.
A triangle ABC is shown. A parallel line DF intersects AB in D and AC in F. Length of AC is 11, AF is 5, AD is x plus 5 and DB is 18
What is the value of x?
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OpenStudy (anonymous):
ganeshie8 (ganeshie8):
since FD || CB, the segments of other sides form a proportion.
setup a proportiona nd solve x ?
OpenStudy (anonymous):
here are the chocies
6
13
7
10
OpenStudy (anonymous):
okay but whats the proportion, i have no clue how to do this.
ganeshie8 (ganeshie8):
\(\large \frac{AF}{FC} = \frac{AD}{DB}\)
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OpenStudy (anonymous):
i got 7..is that right?
ganeshie8 (ganeshie8):
\(\large \frac{5}{6} = \frac{x+5}{18}\)
ganeshie8 (ganeshie8):
7 looks incorrect. solve x above..
OpenStudy (anonymous):
5*18=90
so..6x+5=90
90-5=85
85/6= 14.16?
ganeshie8 (ganeshie8):
5*18=90
so..6(x+5)=90
6x+30 = 90
6x = 60
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