Answer:
Step-by-step explanation:
Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.
From the triangles RQS and UTV
The adjacent side to 
is RQ and for 
is UT.
Similarly, the adjacent side to 
is QS and for 
is TV.
So, the possible sides that could be congruent by AAS postulate are:
or 
So, the correct option is
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:
3x - 24
Step-by-step explanation:
this is probably wrong
The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2
h and K are the center points of the circle and r is the radius.
replace the letters with the provided center and radius:
(x- (-7))^2 + (y- (-3))^2 = 2^2
Simplify:
(x+7)^2 + (y+3)^2 = 4
