The answer is 4) 140.
If we closely examine the pattern of the series, we see that after a number is subtracted by a value, it is multiplied by the same value, and then it moves on to the next natural number.
- 10 - 2 = 8
- 8 × 2 = 16
- 16 - 3 = 13
- 13 × 3 = 39
- 39 - 4 = 35
The next step, according to the pattern, would be to multiply 4.
Answer:
A
Step-by-step explanation:
3(x-2)
Replace x as 12
3(12-2)
3(10)
3 times 10
30
Answer:
x = 52
y = 38
Step-by-step explanation:
Angle x is supplementary to a 128º angle.
Supplementary angles add to 180
x+128 = 180
Subtract 128 from each side
x+128-128 = 180-128
x =52
Angle x and y are complementary.
Complementary angles add to 90
x+y =90
52+y =90
Subtract 52 from each side
52-52 +y = 90-52
y = 38
Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet
The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39
If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
