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2 years ago

Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below.4,3

Mathematics

2 answers:

marshall27 [118]2 years ago

4 0

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

c = 5

Studentka2010 [4]2 years ago

4 0

Answer:

Step-by-step explanation:

$Hypotenuse = ?\\Opposite = 4\\Adjacent = 3\\\\Pythagoras \: Theorem ;\\\\Hypotenuse^2 =Opposite^2+Adjacent ^2\\\\Hypotenuse^2 = 4^2 +3^2\\\\Hypotenuse^2 = 16+9\\\\Hypotenuse^2 = 25\\\\\sqrt{Hypotenuse^2}=\sqrt{25} \\Hypotenuse = 5$

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Ivanshal [37]

Answer:

x=6

Step-by-step explanation:

22x-2=20x+10

22x-20x=10+2

2x=12

x=6

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2 years ago

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Andrew [12]

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3 years ago

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IgorC [24]

Answer:

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2 years ago

25 POINTS PLEASE HELP ME!! Sam conjectures that for x ≤ - 2, it is true that x^5 + 7 > x^3. Is Sam’s conjecture correct? Why

CaHeK987 [17]

The true statement about Sam’s conjecture is that the conjecture is not correct

<h3>How to determine if Sam’s conjecture is correct or not?</h3>

Sam’s conjecture is given as:

For x ≤ - 2

It is true that x^5 + 7 > x^3.

The inequality x ≤ - 2 means that the highest value of x is -2

Assume the value of x is -2, then we have:

(-2)^5 + 7 > (-2)^3

Evaluate the exponents

-32 + 7 > -8

Evaluate the sum

-25 > -8

The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8

Hence, the true statement about Sam’s conjecture is that the conjecture is not correct