Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
Answer:
1. 194
2. 189
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
Answer:
Decrease of 28.6%.
Step-by-step explanation:
The multiplier for a increase of a% is 1 + a/100.
The multiplier for a decrease of b% is 1 - b/100.
Decrease of 15%
1 - 15/100 = 1 - 0.15 = 0.85
Decrease of 16%
1 - 16/100 = 1 - 0.16 = 0.84
Both:
0.85*0.84 = 0.714
Change:
The initial percentage is 100% = 1.
0.714 - 1 = -0.286
Negative, so a decrease
The answer is a decrease of 28.6%.
Answer:
C. $15,500
Step-by-step explanation:
The rate of change of the x values is 2
The rate of change of the y values is 1.
To continue this pattern:
x 38 40 42 44 46
y 12 13 14 15 16
If x = 45, y = $15,500
