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Mathematics 22 Online
OpenStudy (anonymous):

hey

OpenStudy (anonymous):

In this pair of similar trapezoids, what is the length of side GF?

OpenStudy (anonymous):

OpenStudy (anonymous):

will you please help ?

ganeshie8 (ganeshie8):

setup a proportion of corresponding sides

ganeshie8 (ganeshie8):

\(\large \frac{42x}{56} = \frac{30}{10x}\)

ganeshie8 (ganeshie8):

cross multiply and solve \(x\) first

OpenStudy (anonymous):

1680=420x?

ganeshie8 (ganeshie8):

1680 = 420x^2

ganeshie8 (ganeshie8):

solve x

ganeshie8 (ganeshie8):

divide 420 both sides

ganeshie8 (ganeshie8):

1680 = 420x^2 /420 /420 4 = x^2

ganeshie8 (ganeshie8):

x = ?

OpenStudy (anonymous):

i like how you work it out

OpenStudy (anonymous):

X=-2,-2

ganeshie8 (ganeshie8):

x = 2 or x = -2 since lengths cannot be negative, discard -2 x = 2

ganeshie8 (ganeshie8):

so, GF = ?

ganeshie8 (ganeshie8):

look at the picture

ganeshie8 (ganeshie8):

GF = 10x

ganeshie8 (ganeshie8):

plugin x = 2

OpenStudy (anonymous):

thx

ganeshie8 (ganeshie8):

so wats GF ha ?

OpenStudy (anonymous):

._. im not that stupid

ganeshie8 (ganeshie8):

lol ok

OpenStudy (anonymous):

._.

OpenStudy (anonymous):

GF=20!

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