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pentagon [3]
3 years ago
6

Name the adjacent angles in the diagram below:​

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Hey there!

In this picture, we have many pairs of adjacent angles:

1 and 2

2 and 4

4 and 3

3 and 1

This is because these pairs are being connected by a vertex and a side.

Hope it helps and have a great day!!!

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Which of the following expressions are equivalent to -8-(-1)-5
Mrac [35]

-8-(-1)-5

-8+1-5

-7-5

-13

3 0
3 years ago
What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural w
vekshin1

-25 is an integer and a rational number.

<h3>What is number system?</h3>
  • A system of writing numbers is known as a number system.
  • It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
  • It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Now,

  • Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
  • A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
  • Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
  • Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
  • A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.

Hence, -25 is an integer and a rational number.

To learn more about number system, refer to the link: brainly.com/question/13162939

#SPJ4

6 0
1 year ago
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
vfiekz [6]

Answer:

x = 4

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line is therefore a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 2 ) with x- coordinate 4 , thus

x = 4 ← equation of perpendicular line

5 0
3 years ago
Mr. snorkel drove 169 miles in 3 h 30 min. find the rate in feet per minute
AVprozaik [17]

169 miles * 5280 ft/ mile = 892320 ft

3 hours * 60 minutes/1 hr = 180 minutes

3 hrs 30 minutes = 180 minutes + 30 minutes = 210 minutes


169 miles/ 3 hrs 30 minutes    = 892320 ft/ 210 minutes = 4249.1 ft/ minutes

3 0
3 years ago
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