Answer: Supplementary
Step-by-step explanation:
Angles that add to form a straight angle are supplementary.
<span>2(x - 5) + 7 = x + 8
Use distributed property
2x - 10 + 7 = x + 8
Add 7 to -10
2x - 3 = x + 8
Subtract x from both sides
x - 3 = 8
Add 3 to both sides
Final Answer: x=11</span>
Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
Answer:
55 white
Step-by-step explanation:
So ratio 5:4 is essentially saying, for each 5 white marbles, there are 4 red ones. This can be represented in the equation: 5x+4x=99. We specifically want an integer solution. Because what is 1.2 of a marble? And what is -1 marbles? So as x increases by 1, the entire thing increases by 9. This gives you the equation: 9x=99 which gives you x=11. So there are 55 white and 44 red.
Both are the same because the first line is going by ×2 so the missing number would be 22. The second line is going by +1 so 21+1=22. (Hope this will prove your friend wrong :3)
