## anonymous one year ago please help me The measure of the largest angle of a triangle is 90◦ more than the measure of the smallest angle, and the measure of the remaining angle is 30◦ more than the measure of the smallest angle. Find the measure of each angle. Show your work in obtaining your answer.

1. anonymous

can you write equation to model this?

2. anonymous

i dont know how

3. anonymous

smallest = s biggest = b medium = m b = s + 90 m = s + 30 s + m + b = 180 s + s + 30 + s + 90 = 180 3 s = 60 etc.....

4. anonymous

what am i supposed to solve what equation

5. anonymous

?

6. anonymous

Do you want the equation or the answer?

7. anonymous

i want the equation that im supposed to be solving in order to get the answer

8. anonymous

is it system of equations?

9. anonymous

I don't remember the exact equation, just what I wrote which is what my teacher had written down for me. The answers are S=60 M=30 B=90 that's the best I can do. Sorry

10. anonymous

oh okay, thanks anyway

11. anonymous

i still need help if you all know

12. anonymous

what am i supposed to e solving

13. anonymous

x+(x+30)+(x+90)=180 3x+120=180 3x=180-120=60 x=?

14. anonymous

20

15. anonymous

correct.

16. anonymous

now find the other angles.

17. anonymous

x+30=? x+90=?

18. anonymous

50 and 110?

19. anonymous

correct

20. anonymous

can you help me with another problem please?

21. anonymous

sure,i will try.

22. anonymous

do i post it here or new post?

23. anonymous

anywhere

24. anonymous

In each of the following systems of equations, look at the system and determine whether it has infinitely many solutions, no solution, or one solution. Explain in each case how you came to your conclusion. You should not attempt to solve any of the systems. a) Let k represent a Real Number. y = 2x + k y = 2x − k b) Let a represent a Real Number. y = −4x + a y= 1/4x-a c) Let c represent a Real Number. 2x + 6y = 4c 3x + 9y = 6c

25. anonymous

let us solve one by one 1 y=2x+k y=2x-k 2x+k=2x-k k=-k k+k=0 2k=0 k=0 so if k=0 y=2x has infinite solutions case 2.if k not 0 ,then no solution.

26. anonymous

wait so does it have infinite or no solutions

27. anonymous

2. y=-4x+a $y=\frac{ 1 }{ 4 }x-a$ $-4x+a=\frac{ 1 }{ 4 }x-a$ multiply by 4 -16x+4a=x-4a x=? then y=? only one solution in a giving different values to a we can get different solutions

28. anonymous

if k is 0 then infinite solutions if k is non zero then no solution.

29. anonymous

for A right

30. anonymous

i think your problem want solutions with slope, correct or not

31. anonymous

he just wants us to state how many solutions each system of equations have

32. anonymous

and why

33. anonymous

i put A into the calculatior and it gave the ordered pair (8a/17,-15a/17)

34. anonymous

2. the lines are perpendicular so cut in only one point so only one solution correct

35. anonymous

wait what about A? it has one solution?

36. anonymous

3.divide 1st eq. by 2 and 2nd by 3

37. anonymous

how can i divide one equation by the other?

38. anonymous

i am talking about 3rd question.

39. anonymous

yeah

40. anonymous

nevermind this question has got me so confused

41. anonymous

42. anonymous

x+3y=2c x+3y=2c so practically both are same and 3y=-x+c giving different values to x we get different solutions so it has infinite solutions.

43. anonymous

so a and b have only one solution and c has infinite?

44. anonymous

a. if k is non zero then no solution

45. anonymous

okay

46. anonymous

thanks so much

47. anonymous

only b has one solution.

48. anonymous

c has infinite solutions.

49. anonymous

okay thank you

50. anonymous

if k is non zero a has no solution.

51. anonymous

yw

52. anonymous

i am leaving now..Good night.

53. anonymous

take care@surjithayer