Area of a parallelogram is base x height
48x14=672
Answer: The pattern is -1.25 and the full sequence of numbers are 18.5, 17.25, 16, 14.75, and 13.5.
4(x-3)-2+2x=5(3x-7)-9x
4x-12-r+2x=5(3x-7)-9
4x-12-r+2x=15x-35-9x
6x-12-r=15x-35-9x
6x-12-r=6x-35
add 12 to -35 which equals -23.
add 6x+6x it cancels out to 0.
-r=-23
to make r positive just add it -23
since 23 is already negative it would become a positive because a negative + negative= positive
answer: r=23
Answer:
105 = (w+8) *w
w = 7 cm
l = 15 cm
Step-by-step explanation:
Area of a rectangle is
A = l*w
l = w+8
105 = (w+8) *w
Distribute
105 = w^2 +8w
Subtract 105 from each side
105-105 = w^2 +8w -105
0 =w^2 +8w -105
Factor
What 2 number multiply to 105 and add to 8
15*-7 = -105
15-7 = 8
(w+15) (w-7) =0
Using the zero product property
w+15 =0 w-7 =0
w=-15 w=7
impossible
not negative
w =7
l = 15
The correct answer is the third option, which is:
6 inches²
The explanation is shown below:
1. You are working with the areas of the pentagons shown in the figure above. Therefore, the ratios are:
side1²/side2²=A1/A2
(7.5)²/(2.5)²=54/A2
Where A2 is the the area of the smaller pentagon.
2. Therefore, you have that the result is:
A2=6 inches² (As you can see, it is the third option mentioned above).
