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erma4kov [3.2K]
3 years ago
8

In your own words, define each of the following terms. 

Mathematics
2 answers:
Katen [24]3 years ago
7 0
Whole number - A number w/out fractions; an integer.
Digit - Any of the numerals from 0-9, especially when forming part of a number.
Place value - The numerical value that a digit has by virtue of its position in a number.
Rounded number - A number that ends in 0. For example, 40, 450, or 4000.
Equals - Of the same measure, quantity, amount, or number as another.
-Hope this helps. : )
Leya [2.2K]3 years ago
6 0
A. Whole number- a number that is whole, with no decimals or extra signs or variables next to or part of it. 

b. Digit- a number from 0-9 is a digit. 

c. The position a number has in a larger number. ex. Hundreds, Tens, and One's place

d. A number rounded to a whole number. Either to a smaller or larger to make it whole and easier to understand. 

e. Equals: Numbers that equal each other. 

I hope this helps you.

Brainliest answer would be appreciated!

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Answer:

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Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

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1. m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}, then m\angle ABC=m\angle ACD and triangles ADC and ACB are similar by AAA theorem.


2. The ratio of the corresponding sides of similar triangles is constant, so


\dfrac{AC}{AB}= \dfrac{AD}{AC}.


3. Knowing lengths you could state that \dfrac{b}{c}= \dfrac{e}{b}.


4. This ratio is equivalent to b^2=ce.


5. m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}, then m\angle BAC=m\angle BCD and triangles BDC and BCA are similar by AAA theorem.


6. The ratio of the corresponding sides of similar triangles is constant, so


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7. Knowing lengths you could state that \dfrac{a}{d}= \dfrac{c}{a}.


8. This ratio is equivalent to a^2=cd.


9. Now add results of parts 4 and 8:


b^2+a^2=ce+cd.


10. c is common factor, then:


b^2+a^2=c(e+d).


11. Since e+d=c you have a^2+b^2=c\cdot c=c^2.



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