## anonymous one year ago Math help please ! Question in comments

1. anonymous

In trapezoid ABCD, E and F are the midpoints of the sides. If CD = 9, EF = 4x, and AB = 5x + 5/3, what is the value of x? Round the answer to the nearest hundredth. A. 3.15 B. 3.56 C. 4.67 D. 10.67

2. anonymous

3. Loser66

You have a property of this too.

4. Loser66

It says $$EF = \dfrac{CD+ AB}{2}$$ Replace the given information in and solve for x

5. anonymous

$4x = \frac{ 9 + 5x + \frac{ 5 }{ 3 }}{ 2 }$

6. Loser66

yup

7. Loser66

now, solve for x

8. anonymous

How ._.

9. anonymous

10. anonymous

@Loser66

11. Loser66

*2 both sides, what do you get? btw, I am suck at math also.

12. anonymous

9 * 2 is 18 I know that much ._.

13. anonymous

@Loser66

14. Loser66

$2*4x = \cancel 2*\frac{ 9 + 5x + \frac{ 5 }{ 3 }}{ \cancel 2 }$

15. Loser66

It is???

16. anonymous

8x = 9 + 5x + 5/3

17. Loser66

ok, combine like term from the right hand side, what do you have?

18. anonymous

9 + 13x + 5/3

19. Loser66

9 + 5/3 =??

20. Loser66

9 = 27 /3, right?

21. Loser66

so 27/3 + 5/3 = 32/3, right?

22. Loser66

hence, it is 8x= 5x + (32/3)

23. Loser66

Now, -5x both sides,