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White raven [17]
3 years ago
11

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagon

al. Which measurement is closest to the length of the diagonal in inches?
Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

13.9 in

Step-by-step explanation:

Use the Pythagorean Theorem to answer this.  Folding the paper along its diagonal produces two triangles; each one has shorter side 8.5 in and longer side 11 in.  According to the Pyth. Thm., (8.5)^2 + 11^2 = 193.25, which results in the diagonal length √193.25, or approx. 13.9 in.

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If you take half my age and add 7, you get my age 13 years ago. How old am I?
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Answer:

You are currently 40 years old

Step-by-step explanation:

Let's say the current age is represented by the variable x.

x = current age

The question says that "if you take half my age and add 7, you get my age 13 years ago"

This can be represented like this:

1/2(x) + 7 = x - 13

Now we solve for x using basic algebra:

1/2(x) = x - 20

-1/2(x) = -20

x = 40

To check if this is correct, plug it back into the equation and see if both sides equal each other:

1/2(40) + 7 = (40) - 13

20 + 7 = 27

27 = 27

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