Hello,
Here i am using vectors

==> AB//DC and AD//BC (definition of a translation)
The quadrilater ABCD is a parallelogram:
so
1) his diagonals have the same length;
2) his diagonals are cutting in the middle.
(these are proprieties of a parallelogram)
So hmm notice the picture below
in a rectangle, all angles are 90°, and the diagonals are equal
thus AC = BD or 5x + 2 = x + 22 <--- solve for "x"
Answer: 36
Step-by-step explanation:
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Answer:</u></h3>
Option: C is the correct answer.
$ 1.50 is the cost of 1 eraser.
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Step-by-step explanation:</u></h3>
Alicia bought a notebook and several erasers at the student store.
Let the cost of 1 eraser=$ x.
Now from the scatter plot we could see that when Alicia did not bought any eraser then her total cost =$ 2.
That means cost of a notebook=$ 2.
Now when she buys a notebook and two eraser then she pays=$ 5.
i.e.
Total cost=cost of notebook+ 2× cost of 1 eraser
Total cost=cost of notebook+2×x
i.e.
5=2+2x
⇒ 2x=5-2
⇒ 2x=3
⇒ x=1.5
Hence, cost of one eraser is:
$ 1.50
You set up the equation like this:
T/45+T/53=1
You find the least common factor of 53 and 45 and times both sides so you end up with this:
53T+45T= least common factor
Then add up 53T and 45T.
98T= least common factor
Then divide 98 from both sides. That will be your answer.
Sorry I didn't have enough time to find the least common factor but it is a number that they both go into. I would check to make sure I'm correct. I hope this helps!