Let x = your number.
5x = x^2 - 14. To figure out the number, we have to first subtract 5x from each side.
0 = x^2 - 5x - 14. Factor.
0 = (x - 7) (x + 2). Set both terms to 0.
(x - 7) = 0. Add 7 to each side.
x = 7. You're looking for the negative value so this isnt the right one.
Set the other term (x + 2) equal to 0
(x + 2) = 0. Subtract 2 from each side.
x = -2
The negative solution for your number is -2
Supplementary angles have sum = 180
m<TUW = 31
m<TUV = 180 - 31 = 149
answer is 149 (last choice)
second picture:
answer is vertical angles (2nd choice)
Y=2/3x+5 because -2x+3y=15 you have to +2x on both sides so it becomes 3y=15+2x. Then you divide 3 on both sides so it equals y=15+2/3. To makes it y=mx+b it becomes y=2/3x+5
The way she put it implies that she will sell many water bottles and only one iced tea. the correct equation would be 1.25x+1.49y=100, as she may sell different amounts of each.
