Given DC is tangent to ON at point o, is each statement true for ON ? Drag "true" or "false" below each statement

(a) m<DCN < m<BAN  - False

(b) BA is tangent to circle N at point A - True

(c) NB ≈ 6.4 - False

Step-by-step explanation:

Applying the properties of circle and tangent to the given diagram, we have;

(a) m<DCN < m<BAN  - False

From the diagram, m<DCN ≅ m<BAN = (NC⊥CD and NA⊥AB)

(b) BA is tangent to circle N at point A - True

A tangent is a point where a straight line touches the circumference of a circle either internally or externally.

(c) NB ≈ 6.4

ΔABN is a right angled triangle

AN = CN = 4 (radius of circle N)

Let the NB be represented by y, so that,

Sin θ =

Sin 35 =

h = 4 ÷ Sin 35

  = 6.9738

h ≅ 7.0

Thus,

NB ≈ 6.4 is False.

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