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Travka [436]
3 years ago
11

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

Mathematics
2 answers:
Sophie [7]3 years ago
6 0

Answer:

<h2>29</h2>

Step-by-step explanation:

(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29

zalisa [80]3 years ago
3 0

Answer:

B. 29

Step-by-step explanation:

Use Pythagoras theorem.

a² + b² = c²

x is the hypotenuse.

20² + 21² = x²

400 + 441 = x²

841 = x²

√841 = √(x²)

29 = x

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Horizontal translation of 6 units

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The answers to this question cousin
podryga [215]
If R is between Q and S then QR+RS=QS

given
QR=x+4
RS=3x-1
and QS=27

x+4+3x-1=27
combine like terms
4x+3=27
minus 3 both sides
4x=24
divide both sides by 4
x=6

sub back
QR=x+4
QR=6+4
QR=10

RS=3x-1
RS=3(6)-1
RS=18-1
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3 0
2 years ago
Is this equation a true statement when x = 6?<br>-2 + 11 - 5x = 5 -6x​
iris [78.8K]

Answer:

False

Step-by-step explanation:

Since we already know the value of x lets plug it in and multiply it

-2+11-5(6)=5-6(6)

-2+11-30=5-36

Now lets put them together

9-30=5-36

-21 = -31

Making x=6 false

3 0
2 years ago
Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left.
nirvana33 [79]

Answer:

24 - X = 10

Step-by-step explanation:

Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:

Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.

Thus, this equation is solved in the following way:

24 - X = 10

24 = 10 + X

24 - 10 = X

14 = X

8 0
3 years ago
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