Question

What is the value of x?

14

5

9

15

Answer 1

The little arrows mean that the horizontal lines are parallel. Do you know what that means for your problem?

Answer 2

no :/

Answer 3

It means that triangle ADF and triangle ABC are similar

Answer 4

is it 15?

Answer 5

That means that all the side lengths are in the same ratio, the bigger triangle is just some factor larger than the smaller one.

Answer 6

So you can set up a ratio, like
5 is to 9 as (x-5) is to … ???

Answer 7

i did 5/4 = x-5/8 cross multiply
40=4(x-5)
40=4x - 20 add 20 to both sides
60=4x
60/4 = 4X/4
x=15
am i correct?

Answer 8

Yes! The top is correct, let me check the rest.

Answer 9

Looks good!

Answer 10

YAE.! =)