In mathematics, the Pythagorean theorem, also known asPythagoras<span>' </span>theorem<span>, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.</span>
Answer: 21 dogs
Step-by-step explanation:
We can set up a ratio.
Let x be the number of dogs.

We can cross multiply.
42 = 2x dogs
Therefore, there are 21 dogs
Answer:
7
Step-by-step explanation:
Answer:
or 
Step-by-step explanation:
Given:

We are to find the values of
such that these two functions are equal.
Substitute
.
We get 
Hence for
we have the functions to be equal.
Now for 

We see the functions are once again equal.
Answer:
The product of these two numbers is 1239.
Step-by-step explanation:
Given that
a + b = 80
a - b = 38
Add both equation :
a + b = 80
a - b = 38
2a = 118
a = 59
Put value of a in any 1st equation
a + b = 80
b = 80 - 59
b = 21
<em>Product : </em>
a x b = 59 x 21
= 1239