## anonymous one year ago What is the length of Line Segment AC? Show your work.

1. anonymous

2. anonymous

The triangles are similar, so corresponding sides are proportional. $\frac{ 3 }{ 51 }=\frac{ x }{ 144-x }$ cross multiply

3. anonymous

oh okay so it would be 3*144-x = 51*x Right?

4. anonymous

You're going to have to distribute the 3 so use parentheses 3(144-x) = 51*x

5. anonymous

witch is?

6. anonymous

I don't know what you mean

7. anonymous

how do you Distribute?

8. anonymous

multiply the 3 by both of the terms in the parentheses. For example|dw:1433956499272:dw|

9. anonymous

|dw:1433956599192:dw|

10. anonymous

Right, so now the equation is $432-3x=51x$ Now add 3x to both sides

11. anonymous

do you minus 51?

12. anonymous

no

13. anonymous

If you add 3x all the x's will be on the right side

14. anonymous

Yeah how do you get rid of 51

15. anonymous

you don't have to do anything to 51x. Add 3x to both side so the equation to get rid of -3x on the left.

16. anonymous

|dw:1433957044865:dw|

17. anonymous

18. anonymous

you have to solve the equation for x, then plug in what you get to find AC

19. anonymous

So AC=136?

20. anonymous

yes