Answer:
Rhombus
Step-by-step explanation:
The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).
We use the distance formula to find the length of AB.
The length of AD is
The length of BC is:
The length of CD is
Since all sides are congruent the quadrilateral could be a rhombus or a square.
Slope of AB
Slope of BC 
Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be a square. It is a rhombus
The wall area is the product of the room perimeter and the room height:
A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²
The window and door area together is
A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²
The area of one roll of wallpaper is
A₃ = (2.5 ft)*(30 ft) = 75 ft²
Then the number of rolls of wallpaper required will be
1.1*(A₁ - A₂)/A₃ ≈ 4.74
5 rolls of wallpaper should be purchased.
_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
Answer:
(14, 2 )
Step-by-step explanation:
Use the midpoint formula
[0.5(x₁ + x₂), 0.5(y₁ + y₂) ]
with (x₁, y₁ ) = (16, 7) and (x₂, y₂ ) = (12, - 3)
midpoint = [0.5(16 + 12), 0.5(7 - 3) ] = [0.5(28), 0.5(4) ] = (14, 2 )
Answer:
36
Step-by-step explanation:
40 % of 60 = 24
60-24=36
-1/2(-4/5)
Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10
Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.
Hope this helped.
