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3 years ago

What is postulate in geometry

2 answers:

5 0

A postulate is basically a hypothesis. In other words, it's a very strong statement. Typically when we think about a postulate we also call it an axiom. An axiom is typically something that needs no proof. For example, between two points there is a line. Well obviously if I draw two points on a paper and connect them it creates a line.

A postulate is similar in that it's a statement that I don't need to prove because it's so obvious. But as you get farther and farther into geometry in particular, those postulates becomes less obvious so you still need to understand how to prove them.

Tatiana [17]3 years ago

4 0

A statement also know as an axiom which is taken to be true without proof.

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The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar

jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) = 10 feet

Step-by-step explanation:

Step(i):-

Given that the width of the rectangle = (x+1) feet

Given that the length of the rectangle = ( x-6) feet

The area of the rectangle = 30 square feet

Step(ii):-

We know that the area of the rectangle

= length ×width

30 = ( x+1)(x-6)

30 = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

x² - 9 x +4x - 36 =0

x (x-9) +4 ( x-9) =0

( x+4 ) ( x-9) =0

( x+4 ) =0 and ( x-9) =0

x =-4 and x =9

Step(iii):-

we have to choose x =9

The length of the rectangle (l) = x-6 = 9-6 =3

The width of the rectangle (W) = x+1 = 9 +1 = 10

Final answer:-

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) = 10 feet

5 0

3 years ago

A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo

8_murik_8 [283]

Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

8 0

3 years ago

(-2x-1)^2=0 How to solve brackets, please help

malfutka [58]

Not quite sure what you mean by brackets, but you can get the solution to this equation in a few steps:

(-2x - 1)² = 0 ... square root both sides to eliminate the squared binomial
√(-2x - 1)² = √0 ... simplify; the square is canceled out and the root of 0 brings you back to 0
-2x - 1 = 0 ... solve like a two-step equation
-2x = 1
x = -1/2 is your x-value.

3 0

3 years ago

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Suppose 20 rabbits are taken to an island. the rabbit population then triples every year. the function f(x)

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