Need with questions 9 to 11 both a's and b's. show work step by step and theorems that justifies/supports the respective answers.

Step-by-step explanation:

9) EFGH is a parallelogram. In a parallelogram, consecutive angles are supplementary. It means that the sum of the consecutive angles is 180 degrees.

Therefore,

16x - 2 + 8x + 14 = 180

16x + 8x = 180 - 14 + 2

24x = 168

x = 168/24

x = 7

Angle E = 8x + 14 = 8 × 7 + 14

Angle E = 56 + 14 = 70 degrees

b) consecutive angles are supplementary.

10) it is given that JM is parallel to KL.

Given that x = 3,

JM = 5x - 1 = 5 × 3 - 1 = 14

KL = 3x + 5 = 3 × 3 + 5 = 14

Since JM and KL are parallel and equal, then JK and ML is also equal and parallel. Therefore,

The quadrilateral is a parallelogram.

b) The opposite sides of a parallelogram are equal and parallel.

11) x = 7

y = 14

J = 9y + 1 = 9 × 14 + 1

J = 127 degrees

L = 10y - 13 = 10 × 14 - 13

L = 127 degrees

K = 7x + 4 = 7 × 7 + 4

K = 53 degrees

M = 360 - (127 + 127 + 53) = 360 - 307

M = 360 - 307 = 53 degrees

It is a parallelogram because

J = L and M = K

b) The opposite angles of a parallelogram are congruent. The consecutive angles of the parallelogram are supplementary. The sum of the angles in a parallelogram is 360 degrees

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

according to egenuity the answer is

step-by-step explanation:

d. 344.22