## alainabbyboo22 3 years ago Calculate the value of x, given line segment FM = 3x and line segment MN = x + 40. A. 13.3 B. 10 C. 40. D. 20

1. alainabbyboo22

2. ash2326

@alainabbyboo22 Given that the arcs NM and FM are equal

3. ash2326

so chords will be equal too NM=FM Can you solve it from here ?

4. alainabbyboo22

i'm confused on this . what do i need to do ?

5. ash2326

We have the arcs equal as it's indicated in the diagram, isn't it?

6. alainabbyboo22

ya

7. ash2326

so the chords ( the straight lines ) NM and FM will be equal NM=FM

8. alainabbyboo22

then what do i do ?

9. ash2326

You are given the values of NM and FM in the question. Plug them here : NM=FM

10. ash2326

NM=x+40 FM=3x NM=FM so $x+40=3x$ Can you solve this @alainabbyboo22 ?

11. alainabbyboo22

how do i solve that though ? what do i do ?

12. alainabbyboo22

i am sorry if i am irritating you with this but i just don't quite understand this stuff

13. ash2326

14. alainabbyboo22

thanks so much ! (: i really appreciate it ! thank you for taking your time out of your day to try and help me out on this !

15. ash2326

We are all here to help. You're welcome

16. ash2326

Can you solve this equation for x ? $x+4=6$

17. alainabbyboo22

would i take the numbers from the answer choices and plug them into x or would i add 4 + 6 ?

18. ash2326

It's just an example, unrelated to the question. Do you know how to solve these type of equations?

19. alainabbyboo22

no /:

20. ash2326

Ok. I'll explain you

21. ash2326

Her we have x+4=6 it means that x+4 is equal to 6 x is a variable, we need to find its value which will make this equation true. There is only one value of x which will make this equation true. It's easy to find that :) We need to modify it in such a way that we have x separate and no or no.s separate. $x+\underline 4=6$ I can see that 4 is on left side. Want to remove it !! So I subtract both sides by 4, it's important to remember that whatever operation I do be it add, subtract, multiply or divide. I have to do on both sides not one side $x+4-4=6-4$ Now I'll simplify $x+\cancel 4- \cancel 4=2$ $x+0=2$ or $x=2$ Do you get this?

22. alainabbyboo22

alright i got that part now !

23. ash2326

good, similarly we have to find the value of x here. We know FM=MN so $3x=x+40$ here x on the right side is to be removed, what can you do remove x from right side? remember operations on both sides !!

24. alainabbyboo22

okay now i'm lost again ..

25. ash2326

I'll give you a hint, subtract both sides by x. what would you get?

26. alainabbyboo22

the right side would 38 and the left side would be 1 .

27. ash2326

What did you subtract?

28. alainabbyboo22

am i right ?

29. alainabbyboo22

i subtracted 40-2 and 3-2

30. ash2326

You made a mistake somewhere. No worries, I'll guide you $3x=x+40$ subtract both sides by x, because we want to remove x from the right side $3x-x=x+40-x$ Now what would you get?

31. alainabbyboo22

3x=40 ?

32. ash2326

we have 3x-x, on left side or 3x-1x, what would you get on the left side?

33. alainabbyboo22

x + 38

34. ash2326

we have $3x-1x=40$ or $x(3-1)=40$ What would you get next?

35. ash2326

what's 3-1 ?

36. alainabbyboo22

2

37. ash2326

@alainabbyboo22 ?

38. alainabbyboo22

i got 2

39. alainabbyboo22

where do i go from there now ?

40. alainabbyboo22

@ash2326

41. ash2326

so you have $x \times 2=40$ If you subtract variables, like 4x-2x just subtract 4-2=2 and put the 2 before x but if you have x-x or 9x-9x it'll become 0 do you get this?

42. alainabbyboo22

yes i see now . okay what do i do to get my answer ?

43. ash2326

now what do we have?

44. alainabbyboo22

2x = 40

45. ash2326

divide both sides by 2, what would you get?

46. alainabbyboo22

2 and 20

47. ash2326

$\frac{2\times x}{2}=\frac{40}{2}$ $\frac{\cancel 2 \times x}{\cancel 2}=20$ what would you get for x?

48. alainabbyboo22

2

49. ash2326

how you would get 2???

50. alainabbyboo22

i'm lost .. again .

51. alainabbyboo22

would it be 10 ?

52. alainabbyboo22

because 20/2

53. alainabbyboo22

?

54. ash2326

we have $2x=40$ divide both sides by 2 only once

55. alainabbyboo22

1x = 20

56. ash2326

yeah so x =???

57. alainabbyboo22

20 !

58. ash2326

good, did you understand this?

59. alainabbyboo22

yes now i do ! thank you very much ! (:

60. ash2326

Welcome and feel free to contact me here, Anytime for help !!

61. alainabbyboo22

thanks !! (: have a great day !