Answer:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1)
GIven
2)
Commutative property
3)
Distributive property/Definition of addition
4)
Definition of addition
5)
Compatibility with addition
6)
Existence of additive inverse/Modulative property
7)
Compatibility with multiplication
8)
Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Hence, we have the following answers:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Answer:
GK = 9cm
Step-by-step explanation:
Length of diagonal FH = 9 cm
By the property of a rectangle,
"Lengths of the diagonals of a rectangle measure the same"
FH = GK
Therefore, GK = FH = 9cm
Answer: A(x) = 15 ft + 2x
EXPLANATION
Given,
The dimension of the rectangular garden is 20 ft by 15 ft.
Dimension of a rectangle is written as Length by Width
This implies that,
Length of the garden = 20 ft
Width of the garden = 15 ft
The garden has a walk around it of width x.
The combined width of the garden = Width of garden + 2x
[we are adding twice the width of the walk because it is
around the garden (this means it will add to the width of the garden on both the left and right sides)]
Combined width of the garden, A(x) = Width of garden + 2x
Since width of the garden = 15 ft
A(x) = 15 ft + 2x
Answer:
The Answer is: The first number is 5 and the second one is 8.
Step-by-step explanation:
Let f = first number and s = second number
Twice the first number added to the second number is 18:
2f + s = 18
The second number is equal to 4 times the first number minus 12:
s = 4f - 12
Substitute:
2f + (4f - 12) = 18
6f - 12 = 18
6f = 18 + 12
6f = 30
f = 5, is the first number.
Solve for the 2nd number:
s = 4(5) - 12 = 20 - 12 = 8, is the second number.
Proof:
2f + s = 18
2(5) + 8 = 18
18 = 18
Hope this helps! Have an Awesome Day! :-)