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Nadya [2.5K]
3 years ago
12

What is the value of x in simplest radical form?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

25

Step-by-step explanation:

For these types of problems you'll need the Pythagorean theorem (woohoo..). This amazing formula looks like: a^2 + b^2 = c^2. The a and b in this formula are the legs of the triangle, the straight non-diagonal lines. The c stands for the hypotenuse which is the diagonal line.

Since you have both of the legs we can go ahead and plug that into our equation: 15^2 + 20^2 = c^2.

NOTE: It doesn't matter which leg you plug into which variable! Just make sure it's not c!

With exponents, it just means to multiply the number by itself. 15^2 is the same as 15(15). So, simplifying the equation, we get: 225 + 400 = c^2.

This part is pretty straightforward. I mean, unless you don't remember addition... Adding it together, you will get 625 = c^2.

This part kinda requires a calculator if you don't know all of your square roots. Luckily, this is a perfect root and goes into 25.

And that, my friend, is your answer. Hope this helped :)

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Find the measure of arc DF (with an explanation of how to solve please!)
allochka39001 [22]

Answer:

mDF = 90°

(Assuming arc mCE is 5x + 10)

Step-by-step explanation:

When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.

So in this case, we have:

70° = (mCE + mDF)/2

Assuming mCE is 5x + 10, we have:

70 = (5x + 10 + 11x + 2)/2

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70 = 8x + 6

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So the arc mDF is:

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4 0
3 years ago
To make lemonade, you used one gallon of water, four quarts of lemon juice, and 32 ounces of honey. How much lemonade did you ma
Vesna [10]
We know that 1 gallon = 4 quarts and 1 quart = 32 ounces.
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Answer:
There is 9 quarts or 2 gallons and 1 quart of lemonade.
7 0
3 years ago
Anybody have a proper answer?
maks197457 [2]
The answer would be 40
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