Question

What is the length of CD?
http://media.apexlearning.com/Images/201004/04/19ddb83b-92c7-4835-8ee0-d1c224289299.gif

Answer 1

@ganeshie8

Answer 2

Can please someone help me with this one?

Answer 3

the triangles are similar, simply set up a proportion and solve x

Answer 4

\[\large \dfrac{15-x}{x}=\dfrac{20}{5}\]

solve \(x\)

Answer 5

oh ok thank you
so once I solve it then that will be the answer right?

Answer 6

what do you get when you solve ?

Answer 7

Wait let me solve it

Answer 8

okie

Answer 9

I got 3.75. Is that right?

Answer 10

doesn't look correct
try again

Answer 11

Okay

Answer 12

0.7?

Answer 13

\[\large \dfrac{15-x}{x}=\dfrac{20}{5} \]

canceling common factor 5 on right hand side fraction gives
\[\large \dfrac{15-x}{x}=\dfrac{4}{1}\]

yes ?

Answer 14

Yes.

Answer 15

cross multiply and get
\[15-x = 4x\]

Answer 16

add \(x\) both sides

\[15 = 5x\]

Answer 17

Okay

Answer 18

so its 3

Answer 19

divide \(5\) both sides

\[3=x\]

which is same as
\[x=3\]

Answer 20

Got it, thank you so much :)

Answer 21

yw