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Amiraneli [1.4K]
3 years ago
6

Will mark brainiest and will give free points if all correct asap plzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Mathematics
1 answer:
rewona [7]3 years ago
3 0

I think this is how you do it.

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The figure is a square. Find the length of side x in simplest radical form with a rational denominator.
nika2105 [10]

Answer:

10\sqrt{2}

Step-by-step explanation:

The diagonal of any square with side length s is equal to s\sqrt{2}. Since the side length of the square is 10, the diagonal must be \boxed{10\sqrt{2}}.

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (a^2+b^2=c^2).

Call the diagonal d. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

10^2+10^2=d^2,\\100+100=d^2,\\d^2=200,\\d=\sqrt{200}=\sqrt{100}\cdot \sqrt{2}=\boxed{10\sqrt{2}}

4 0
3 years ago
Read 2 more answers
The two-way table shows the number of hours students studied and whether they studied with music.
Scrat [10]

Answer:

the answer is 0.60

Step-by-step explanation:

took the test so i could answer for you >.<

7 0
2 years ago
I cant do it sombody help
motikmotik

Step-by-step explanation:

hope this helps. in the first part you set the problems equal to each other. in the second, you get rid of one letter, then solve.

3 0
2 years ago
After a 60% ​reduction, you purchase a new washing machinewashing machine on sale for ​$256. what was the original price of the
madreJ [45]

Answer: 640

Step-by-step explanation:

if 256 is 40%, then 64 is 10%, making 640 100%

8 0
2 years ago
Please show the steps for this question <br> Divide z4 by z-3
dsp73
Z^4 / z^-3 = z^7  - when you divide numbers written in exponential form, you keep the base and subtract the exponents.  z^4 divided by z^-3 = z^ (4- (-3)) = z^7.
8 0
3 years ago
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