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Which CANNOT be used in a proof? A. Theorems B.Postulates C.Properties D.Undefined Terms


The best and most correct answer among the choices provided by the first question is the fourth choice or letter D.

Undefined terms cannot be used as a proof in mathematics.


I hope my answer has come to your help. God bless and have a nice day ahead!

Related Questions

Posted in Mathematics

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply. + 8r2s4 – 3r3s3 s5 3r4s5 –r4s6 –6rs5

Answer:

Option 2,3 and 4 are correct.

Step-by-step explanation:

To find : Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply.

?+8r^2s^4-3r^3s^3

Solution :

The polynomials in standard form is written from higher degree to lower degree i.e. in descending order.

The given polynomial has degree 6: ?+8r^2s^4-3r^3s^3, and it can be ordered respect any of the two variables either r or s.

Adding a new term as first term needs to have degree equal or greater than 6.

1) s^5 cannot use as first term because its degree is less than 6.

2) 3r^4s^5 it can be use as degree is 9.

3r^4s^5+8r^2s^4-3r^3s^3 is the standard form.

3) -r^4s^6 it can be use as degree is 10.

-r^4s^6+8r^2s^4-3r^3s^3 is the standard form.

4) -6rs^5 it can be use as degree is 6.

-6rs^5+8r^2s^4-3r^3s^3 is the standard form.

Therefore, Option 2,3 and 4 are correct.

Posted in Mathematics

Algebraic terms are separated by ______. Choose all that apply. 1)= 2)+ 3)x 4)÷ 5)-

Answer

1)=

2)+

5)-

Explanation

When letter or numbers are separated by multiplication or division can be combined to make one term.

In an algebra equation, terms are separated by an addition sign, subtraction sign or an equal sign. For example,

3a + 7b = 21.

This equation have 3 terms.

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What is the next 3 terms in the following sequence, 5.5,6.7,7.9,9.1

10.3, 11.5, 12.7, u keep adding 1.2 every time so u can get the answer, can u make this the brainliest???

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HELP ME PLEASE True or False? In a two-column proof, the right column states your reasons. This is an example if you'd like to see one:

Answer: true

100% sure it is true.

The example attached by you shows it very well. The left column goes step by step from the first statement until the conclusion and in the right side you have the justification (reasons) that supports the statement.

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Combine like terms to simplify the expression: 1.3b+7.8−3.2b

That'd be
1.3b -3.2b +7.8
-1.9b + 7.8
that's the simplification
don't forget to make my answer the brainliest if it's correct

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Need help please. Complete the following proof. Given: ABCD is rhombus Prove: ∠1 ≅∠2 Statement Reason 1. 1. Given 2. AD = BC = CD = BA 2. 3. DO = OB; AO = OC 3. Diagonals of a parallelogram bisect each other. 4. △DOC ≅△BOA 4. 5. ∠1 ≅∠2 5. Complete the two-column proof by providing the missing statements or reasons above.

Answer:

(1) ABCD is rhombus. (2) All the sides of a rhombus are congruent. (3) SAS. (4) Diagonal of rhombus are perpendicular to each other.

Step-by-step explanation:

Given information : ABCD is rhombus.

Prove: ∠1 ≅∠2

According to the properties of rhombus, all the sides of a rhombus are congruent, therefore length of AD, BC, CD and BA are equal.

According to the properties of rhombus, diagonals of a rhombus bisect each other. So O is midpoint of AC and BD.

In triangle DOC and BOA,

DO=OB              (Diagonals of a rhombus bisect each other)

AO=OC              (Diagonals of a rhombus bisect each other)

\angle DOC=\angle AOC       (Vertically opposite angles are same)

SAS postulate states that the two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

By SAS postulate triangle DOC and BOA are congruent to each other.

\triangle DOC\cong \triangle AOC

Since diagonal of rhombus are perpendicular to each other, therefore

\angle 1\cong \angle 2

Statement                                                     Reason

1. ABCD is rhombus.                          1. Given


2. AD = BC = CD = BA                       2.  All sides of a rhombus are

                                                                congruent.

3. DO = OB; AO = OC                        3. Diagonals of a

                                                            rhombus bisect each other.


4. △DOC ≅△BOA                              4.  SAS

5. ∠1 ≅∠2                                          5. Diagonal of rhombus are

                                                         perpendicular to each other

Posted in Mathematics

20(−1.5r+0.75) expand the expression and combine like terms

Answer:

-30r + 15

Step-by-step explanation:

We have been given that

20(−1.5r+0.75)

Use the distributive property a(b+c)=ab+ac.

20×(−1.5r)+20×0.75

Multiplying, we get

-30r +15

These two are not like terms. Hence , we cannot combine them.

Therefore, we cannot simplify it more.

Hence, the simplified expression is -30r + 15

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Match the definition with the terms. 1. a portion of a large group 2. choosing a sample so that every member has an equal chance of being chosen 3. choosing a sample from people who are under 15 years old 4. using the responses of a small group to make conclusions about the large group. random sample sample biased sample estimating from a sample

1. a portion of a large group -> sample

the sample is the part that you select from a population to analyze.

2. choosing a sample so that every member has an equal chance of being chosen -> random sample


in a random sample any member of the group has the same probabilities to be selected.


3. choosing a sample from people who are under 15 years old -> biased sample

when you select based on a characteristic of the group you are running a biased sampling.

4. using the responses of a small group to make conclusions about the large group. -> estimating from a sample

statistics searches to infere information about a large group using the responses from a sample

Posted in Mathematics

1. Which best describes the relationship between the successive terms in the sequence shown? 9, –1, –11, –21, … a)The common difference is –10. b)The common difference is 10. c)The common ratio is –9. d)The common ratio is 9. 2. A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula? a)1, –5, 25, –125, ... b)2, 10, 50, 250, ... c)3, –2, –7, –12, ... d)4, 9, 14, 19, ...

Q1. The answer is a)The common difference is –10. 

Let's calculate the common difference (c):
c = f(n + 1) - f(n)

9, –1, –11, –21, …
-1 - 9 = -10
-11 - (-1) = -11 + 1 = -10
-21 - (-11) = -21 + 11 = -10


Q2. The answer is 
c)3, –2, –7, –12, ...

f(n + 1) = f(n) – 5
f(n + 1) - f(n) = -5

c = f(n + 1) - f(n)

So, the common difference is: c = -5

Let's check all choices:
a) c = -5 - (-1) = -5 + 1 = -4         INCORRECT
b) c = 10 - 2 = 8                        INCORRECT
c) c = -2 - (-3) = -5
    c = -7 - (-2) = -5
    c = -12 - (-7) = -5                    CORRECT
d) c = 9 - 4 = 5                          INCORRECT

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Find the sum of the first 50 terms of the sequence below. An = 3n + 2

An+1= 3n+3 +2
An+1 - An = 3n+5 -3n-2=3
An is aa arithmetic sequence
its sum is given by:
A0 +A1 +A2 + . . . + An = N(Ao + An) /2
where N = n-0=n
S50= A0 +A1 +A2 + . . . + A50 = 50(Ao + A50) /2

S50 = 50(Ao + A50) /2
Ao=2, A50=150+2=152
S50= 50(Ao + A50) /2

finally
S50=25*154=3850

Posted in Mathematics

A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%. Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.

This may help you

ince the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%, that means there is a 90% confidence interval. 9 / 10 = .90 = 90% 90% = 1.645 1.645 * .9 = 1.4805 Margin of Error - 1.4805
and The margin of error is the distance from x-bar, the center of the confidence interval ,to the end of the interval. This distance is 6% of 80% which is given by: 80×6100=4.8 Therefore the margin of error is 4.8% and the confidence interval is: ({80 - 4.8}%, {80 + 4.8}%)


Posted in Mathematics

Solve in terms of x and Y

To solve for y in terms of x, the y variable must be alone on the left side of the equation. In the sample problem, subtract 8 from each side. The equation then becomes 4y = 1 - 5x.

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That gives the equation Ax=C which is a vertical line, so the slope is undefined.For the equation Ax + By = C (where A, B, C are real numbers) what is the slope (in terms of the traditional y = mx+ b) and state any restrictions. Help!!!

Ax+By = C can be solved for y to get

y = (-A/B)x + C/B

where 
-A/B is the slope
C/B is the y intercept

The only restriction is that B cannot be 0. This is to avoid a division by zero error. If B is zero, then the slope is undefined and you get a vertical line like with Ax = C

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Match the definition with the terms. 1. a portion of a large group 2. choosing a sample so that every member has an equal chance of being chosen 3. choosing a sample from people who are under 15 years old 4. using the responses of a small group to make conclusions about the large group. random sample sample biased sample estimating from a sample

Random sample - choosing a sample so that every member has an equal chance of being chosen (this is the absolute definition of random sampling)

Sample - a portion of a large group is termed as a sample.

Biased sample -  choosing a sample from people who are under 15 years old (biased sampling states that all the members of a group are not included in survey)  

Estimating from a sample - using the responses of a small group to make conclusions about the large group.(estimation means roughly judging something based on some sample )

Posted in Mathematics

Write an expression that has three terms,two different variables, and one constant

A line passes through (-c/a,0) and (0,-c/b) is written as ax+by+c=0 here x and y are two variables and c is a constant let a and b be fixed number in real number system

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