## lala365 2 years ago how do you find the length of CD?

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1. VeritasVosLiberabit

use a ruler

2. VeritasVosLiberabit

;)

3. lala365

|dw:1354672985724:dw|

4. VeritasVosLiberabit

\[1x+4 = 4x\]

5. VeritasVosLiberabit

or is that a 2x

6. VeritasVosLiberabit

\[2x+4 = 4x\]

7. lala365

that is a 2. srry

8. VeritasVosLiberabit

or Im sorry dont multiply by two, just solve for x and plugin the x in the equation for line CD and you have your answer.

9. lala365

but how do i do that?

10. VeritasVosLiberabit

use the equation i gave you above.

11. VeritasVosLiberabit

you see that both line segments CD and AD are congruent, therefore you can set them equal to each other and solve for x.

12. lala365

oh ok.so then i would multiply the 2x and 4x together?

13. VeritasVosLiberabit

no you will need to use the opposite operations in order to isolate x.

14. lala365

so i divide? them

15. VeritasVosLiberabit

no not divide, try again.

16. VeritasVosLiberabit

you can also see it as 4+2x = 4x

17. lala365

18. lala365

but how does that = 4x?

19. VeritasVosLiberabit

no not add look at you signs

20. VeritasVosLiberabit

the line segment CD = AD therefore they are equal.

21. VeritasVosLiberabit

the two lines you drew in the middle of them means they are the same length.

22. lala365

so im not understanding. im so sorry. how do i solve the problem then?

23. VeritasVosLiberabit

How do you think you would attempt it? I've pretty much given you all of the information and even how to setup the problem.

24. lala365

2x+4=4x . i multiply the 2x and 4x to get 8x?

25. VeritasVosLiberabit

no you need to subtract 2x from 4x

26. VeritasVosLiberabit

rearrange your equation to see this better. 4+2x = 4x

27. lala365

so -2x?

28. VeritasVosLiberabit

29. lala365

4+2x=4x

30. VeritasVosLiberabit

now subtract 2x from both sides of your equation.

31. VeritasVosLiberabit

and rewrite what you get.

32. lala365

x+4=2x

33. VeritasVosLiberabit

not quite. that extra x on the left should not be there so it should be 4 = 2x

34. VeritasVosLiberabit

now one more step to solve for x

35. lala365

i divide it by 2 right?