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2 years ago

What is the point of a pythagorean theorem?

Mathematics

1 answer:

Nikitich [7]2 years ago

3 0

The Pythagorean Theorem describes an important geometric relationship between the three sides of a right triangle.

First of all, to understand the Pythagorean Theorem, you need to know about angles and triangles, and you also need to know about exponents and square roots. These things will help you understand how it works and how to solve for a missing side.

The Pythagorean Theorem

For a right triangle

with legs a and b and the hypotenuse c

$a^{2}$ + $b^{2}$ = $c^{2}$

The Pythagorean Theorem does not apply to all triangles.

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PLEASE HELP<br> (look at pictures)

Vladimir [108]

<h2>Answer:</h2>

This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,

Reason: Given

Statement: $\angle1\cong\angle2$

Reason: Def of vertical $\angle s$

Statement: $\angle1\:and\:\angle3 \ are \ vertical$

Reason: Def of vertical $\angle s$

Statement: $\angle1\cong\angle3$

Reason: Transitive Property

Statement: $\angle2\cong\angle3$

Reason: corresponding Angles Converse Postulate

Statement: $p\parallel q$

6 0

2 years ago

If f(x)=2x and g(x)=x^2 -1, which statement is true?

choli [55]

Answer: D

<u>Step-by-step explanation:</u>

f(x) = 2x g(x) = x² - 1

f(g(x)) = 2(x² - 1)

= 2x² - 2

g(f(x)) = (2x)² - 1

= 4x² - 1

8 0

3 years ago

Place parentheses in these expressions 12×2+2^3;value:120

telo118 [61]

Answer:

12x(2x2^3)=120

Step-by-step explanation:

12x2+2^3=120

(12x2)+2^3=32

12x(2+2^3)=?

12x(2+8)=?

12x10=120

6 0

2 years ago

John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper

Setler79 [48]

Answer:

$f(x)=\dfrac{9}{5}x+32$ converts Celsius to Fahrenheit.

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

$\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}$

Let the expression for the function be

$f(x)=ax+b$

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

$68=20a+b\\ \\86=30a+b$

Subtract these two equations:

$86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}$

Substitute it into the first equation:

$68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32$

So,

$f(x)=\dfrac{9}{5}x+32$

This is the function which converts Celsius to Fahrenheit.

And function

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

4 0

2 years ago

Read 2 more answers

Omgggggggg PLZ HELP MEH I REALLY NEED HELP :'( IM FAILING MATH AND THIS WILL REALLY HELP ALL BELOW IM BEGGING YOU

faltersainse [42]

Answer:

1. -2w-1 cuz when in parethese it all become negative. 2. factors of 32 is 1,2,4,8,16,32. and factors of 24 is 1,2,3,4,6,8,12,24. and the way you should write 32k+24 is 4(8k+6)

Step-by-step explanation:

7 0

2 years ago