Answer:
The dog has the name Sammy.
Step-by-step explanation:
A cat and dog cannot be green, therefore the bird is Fluffly.
Noodles must be the cat since it's younger than the bird and the dog.
The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.
Y varies directly with x means y = kx or y/x = k where k is the constant of variation (slope)
Using

we can plug in the x and y values from the given points.
We get the following proportion:

32 = 4y ← cross multiply
8 = y ← divide both sides by 4
ANSWER: y = 8
I believe the correct answer is X=52
Step-by-step explanation:

1. We now multiply all sides by 8:

2. Solve for 8 on all ratios and numbers:

3. Carry the 48 to the right. When you carry a number to the right side, it becomes positive and to the left it becomes negative:

4. Add the sum on the right:

5. Now fill in for X:
X=52
Let us prove it is correct....
1. Fill in the value of X with 52:

2. Do the fractions first and convert to 1 decimal place number:

3. Do the subtraction:

4. Now:

Thus the answer for X=52
Answer:
The value of x is 14
The length of each diagonal is 24 units
Step-by-step explanation:
Let us revise the properties of the rectangle
- Each two opposite sides are parallel and equal
- Its four vertices are right angles
- Its diagonals equal each other and bisect each other
In rectangle TUVW
∵ TV and UW are its diagonals
∴ TV = UW
∵ TV = 2x - 4
∵ UW = x + 10
- Equate them to find x
∴ 2x - 4 = x + 10
- Subtract x from both sides
∴ x - 4 = 10
- Add 4 to both sides
∴ x = 14
The value of x is 14
Substitute the value of x in the expression of TV <em>OR</em> UW to find the length of each diagonal
∵ TV = 2(14) - 4
∴ TV = 28 - 4
∴ TV = 24 units
The length of each diagonal is 24 units
non but third
we can solve all of them because they are parallel but third isn't.