Question

hey

Answer 1

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

Answer 2

will you please help
?

Answer 3

setup a proportion of corresponding sides

Answer 4

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

Answer 5

cross multiply and solve \(x\) first

Answer 6

1680=420x?

Answer 7

1680 = 420x^2

Answer 8

solve x

Answer 9

divide 420 both sides

Answer 10

1680 = 420x^2
/420 /420


4 = x^2

Answer 11

x = ?

Answer 12

i like how you work it out

Answer 13

X=-2,-2

Answer 14

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

Answer 15

so, GF = ?

Answer 16

look at the picture

Answer 17

GF = 10x

Answer 18

plugin x = 2

Answer 19

thx

Answer 20

so wats GF ha ?

Answer 21

._. im not that stupid

Answer 22

lol ok

Answer 23

._.

Answer 24

GF=20!