The value of x is 5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up;
- Factors
- variables
- terms
- constants
They also consist of mathematical operations such as addition, multiplication, division, subtraction, parenthesis, brackets, etc
We have the expression as;
7.5x = 5.5x + 10
collect like terms
7.5x - 5.5x = 10
subtract the like terms
2.0x = 10
Make 'x' the subject
x = 10/2. 0
x = 5
Thus, the value of x is 5
Learn more about algebraic expressions here:
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For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
Answer:
Step-by-step explanation:
Bertie's $12.00 will buy (12) / ($3.75/gal), or 3.2 gallons.
The ordered pair in quewtion is (3.2, $12),
