Given be = 2x + 6 and ed = 5x - 12 in parallelogram abcd, find bd.

Given the statement: BE = 2x + 6 units and ED = 5x - 12 units.

By properties of parallelogram:

The parallelogram bisects each other at E.

You can see the diagram of parallelogram as shown below.

Therefore;

                       .....[1]

Substitute the given values we have;

Add 12 both sides we get;

Subtract 2x from both sides we have;

Divide 3 both sides we get;

x = 6.

BE = 2x+6 = 2(6)+6 = 12 +6 = 18 units

We have to find the value of BD:

BD = BE+ED

from [1] we have;

Therefore, the value of BD is, 36 units.

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068