Part A:
Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4
The perimeter of the square is given by 4(x + 4) = 4x + 16
The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12
For the perimeters to be the same
4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2
The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.
Part B:
The area of the square is given by

The area of the rectangle is given by 2(3x + 4) = 6x + 8
For the areas to be the same

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
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Answer:


Step-by-step explanation:
Solving (47):
To solve for B, we have:
--- sum of angles in a triangle
This gives

Collect like terms


Solving (48):
To solve for Y, we have:
--- sum of angles in a triangle
This gives

Where
-- angle on a straight line
Solve for X


So, we have:



Answer:
462 
Step-by-step explanation:
Rectangular Prism: 7 x 8 x 6 = 336
Triangular Prism: (0.5 x 7 x 6) x 6 = 126
336 + 126 = 462
The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:

The equation represented on machine B is:

Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:

So, we have:

Open brackets


Collect like terms


Divide both sides by 2

Substitute 39 for x in 


Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
brainly.com/question/15715866
Answer:
just use Alexa
Step-by-step explanation:
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