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Karolina [17]
3 years ago
11

Which statement is an axiom of Euclidean geometry? If two lines intersect, their intersection is a plane. If two planes intersec

t, their intersection is a point. Space contains at least three points that do not lie on the same line. If two points lie in a plane, the line containing those points lies in the same plane. Given any two points A and B, there are exactly two lines that contain those points
Mathematics
2 answers:
Dominik [7]3 years ago
8 0
If 2 points lie in a plane, the line containing those opints lies in the same plane
alexgriva [62]3 years ago
7 0

Answer:

The axiom is:

If two points lie in a plane, the line containing those points lies in the same plane.

Step-by-step explanation:

Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.

Euclid axioms seemed to be so true or obvious that any theorem proved from them was deemed true in an absolute.

The statement that is an axiom of Euclidean geometry is:

If two points lie in a plane, the line containing those points lies in the same plane.

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Plz help me with this
Jlenok [28]

Answer:  \bold{b)\quad \dfrac{-\sqrt{13}-5}{4}}

<u>Step-by-step explanation:</u>

\dfrac{3}{\sqrt{13}-5}\bigg(\dfrac{\sqrt{13}+5}{\sqrt{13}+5}\bigg)\\\\\\=\dfrac{3(\sqrt{13}+5)}{13-25}\\\\\\=\dfrac{3(\sqrt{13}+5)}{-12}\\\\\\=\dfrac{\sqrt{13}+5}{-4}\\\\\\=\dfrac{-\sqrt{13}-5}{4}

6 0
3 years ago
Jasmine has $26 to spend on binders and pens. The pack of pens cost $4.75. Each binder costs $5. Write an inequality to determin
Elenna [48]

Answer

(5 x B) + 4.75 ≤ 26

B is the amount of binders.

5 0
3 years ago
I have 3 times as much money as my brother. Our total is $24. How much does each of us have?I have 3 times as much money as my b
musickatia [10]

Answer:

Brother's money  = $6

Money I have  = $18

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

<em>I have 3 times as much money as my brother: </em>

Money I have = 3x  

Where x is the money that my brother has:

Brother's money = x

<em>Our total is $24 </em>

So, 3x+x =24

Solving for x

3x+x=24

4x =24

x =24/4

x = 6

Replacing with the value of x.

Brother’s money = x = $6

Money i have = 3x =3(6) = $18

6 0
3 years ago
5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ
mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

               Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = population proportion = 48%

           n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } } ) = P(Z < 0.89) = 0.8133

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.</em>

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0
3 years ago
What is x and y of 5x+4y=8
juin [17]

Answer:

y=2-5x/4     x=8/5-4y/5

Step-by-step explanation:

8 0
3 years ago
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