Answer:
y=9%
Step-by-step explanation:
x=18%
y=9%
It is in a pattern like x=y+y
Let width of the floor be x feet, them area is
x(x+2) = 168
x^2 + 2x - 168 = 0
(x - 12)(x + 14) - 0
so x = 12
the floor is 12 ft by 10 ft
the width of the rug should be 10 - 2(2) = 6 feet
7.
To swap a figure to 90 degrees counter clock wise turn the points from
(x,y) to (-y,x)
Let’s get your points
(-2,3) ; (-4,2) ; (-2,-4)
Swap the values and make the new x’s negotiate
(-3,-2) ; (-2,-4) ; (4,-2)
These should be the points of the new figure with is 90 degrees counterclockwise of the first one.
10.
To find x you can either:
Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both
x = 93 + 54
x = 147
Or
180 - 93 - 54
33
180 - 33 = 147
x = 147
8.
First we dilate the coordinates by 0.5
(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)
Basically divide each x and by by two
(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)
Two units left would be to subtract two from the x values
(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)
Add three to each y value
New coordinates:
(-4,6) (-1,6) (-1,1) (-4,1)
6.
Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other
2(6x) = 10x + 8
Multiply
12x = 10x + 8
Get x on one side
2x = 8
Divide
x = 4
Plug in 4 for an equation
2(6(4))
48
Circumference = pi * diameter
Unsure if you use 3.14 for pi
If you use 3.14 :
(3.14) (48) = 150.72
If you use pi :
Pi (48) (rounded) = 150.80
Answer:
the same
Step-by-step explanation:
parralell lines are known for being straight forward and symetrical
<span>$15
Write down some equations that express what you know.
A = 2*30 + 3x
K = 1*30 + 5x
A+K = 210
Substitute the expression for A in the A+K=210 expression
2*30 +3x + K = 210
Now substitute the expression for for K
2*30 + 3x + 1*30 + 5x = 210
Multiply and combine terms
60 + 3x + 30 + 5x = 210
90 + 8x = 210
Subtract 90 from both sides
8x = 120
Divide both sides by 8
x = 120/8 = 15
The cost of one month of game play is $15</span>
