4x - (9 - 3x) = 8x - 1
4x - (9) - -(3x) = 8x - 1
4x - 9 + 3x = 8x - 1
7x - 9 = 8x - 1 (-8x from each side)
-x - 9 = -1 (+9 to each)
-x = 8 (divide -1 from each side)
x = -8
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Answer: A trapezoid is always a parallelogram.
Step-by-step explanation:
Formula for the area of the triangle:
1/2 bh
b = base
h = height
#6.
Area = 36 in²
Base = 18 in
36 = 1/2(18)h
36 = 9h
36 ÷ 9 = h
4 = h
height = 4 in
#7.
Area = 2 ft²
Height = 1 ft
2 = 1/2 b (1)
2 = 1/2 b
2 ÷ 1/2 = b
4 = b
Base = 4 ft
#8.
Area = 42 in²
Base = 12 in
42 = 1/2 (12) h
42 = 6h
42 ÷ 6 = h
7 = h
Height = 7 in
Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.
Since you find the area by multiplying things together, for example x · x = x², the exponent is there.
You do not need to worry about this being in the calculation. This will just be in units such as:
cm²
ft²
in²
m²
Just remember to use these exponents in the units for the areas.
