So the definition of a regular polygon is that the sides are all equal, the interior angles are all equal, and the exterior angles are all equal.
Notice how with #s 3 and 4, the angles are all shown as equal, as well as their sides. However, #s 5 and 6 have different angles and sides, respectively.
Therefore 3 and 4 are regular, but 5 and 6 are irregular (not regular).
The Pythagorean theorem:
The theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
<h2>The Pythagorean Theorem</h2><h3>Discoverer: Pythagoras</h3>
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. These calculations were discovered just as a tool of the ancient civilization of Babylonians who used it to divide up farmland; this was roughly 1,000 years before the birth of the discoverer, Pythagoras, a Greek philosopher.
The formula comes like this:
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
So you want to know how much was paid in total?
First, how much is 18% of 43?
43*0.18 =8.64
so the total prize will be the sum of the gratuty and the dinner prize: 43+8.64=51.64
and this is the solution!
Answer:
She did better on the math exam compared with the other students
Step-by-step explanation:
Hi!
We to calculate how many standard deviations from the mean she scored we need to use the following formulae:
(score - mean)/std
for economics:
(85 - 75)/8 = 10/8 = 1.25
for math:
(89 - 68)/10 = 21/20 = 2.1
Since she scored <em><u>1.25</u></em> standard deviations <em><u>higher than</u></em> the mean in economics and <u><em>2.1</em></u> standard deviations <u><em>higher than</em></u> the mean in mathematics, she did better on the <u><em>MATH</em></u> exam
