A: 40 because supplements add up to 180
B: 54 because complements add up to 90
Answer:
D
Step-by-step explanation:
2x < 16 - 6x
Bring the variables to one side
2x < 16 - 6x
+6x +6x
8x < 16
Divide both sides by the coefficient
8x/8 < 16?8
x < 2
Answer:
c
Step-by-step explanation:
Answer:
(d) 112 m²
Step-by-step explanation:
The area of a parallelogram is given by the formla ...
A = bh . . . . . . where b is the base length and h is the height
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Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...
A = (14 m)(8 m) = 112 m²
The area of the parallelogram is 112 square meters.
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<em>Alternate solution</em>
You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.
A = 2(1/2bh) +bh
A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²
Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
Step-by-step explanation:
You know that lenght of the mantel above their fireplace is 12 feet.
They want to place one vase 
of the distance from one end of the mantel. This distance in feet is:
They want to place the other vase 
of the distance from the same end of the mantel. Therefore, this distance in feet is:
Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
