140 Answered Questions for the topic Proofs

Proofs

09/30/18

#### Prove that (3^2n) + 5 is never divisible by 8, provided that n is a natural number.

Prove that 32n + 5 is never divisible by 8, provided that n is a natural number.

09/30/18

#### Prove that cos(x)tan(x) divided by cosec(x)^2 equals cos(x)^3 divided by cot(x)^3

Prove that cos(x)tan(x) / cosec(x^2) = cos(x)^3 / cot(x)^3

Proofs

09/20/18

#### Given: <A is complementary, <B and <C is Complementary to D, and <B is congruent to <C Prove: m<A=m<D

My quesiton involves having to be given with statements and reasons.

Proofs

09/17/18

#### does there exist pairs of integers (x,y) that satisfy x+5y=10

Justify your answer with a proof.

07/11/18

#### Proving opposite sides of a parallelogram are congruent

Given: ABCD is a parallelogramProve: Segment AB ≅ Segment CD, Segment BC ≅ Segment AD

Proofs Algebra

06/30/18

#### Prove that n^2 +7n +15 is greater than n+3 is true for all values of n

I tried minus the right hand side and simplify, but that did not work. I tried simply the left hand side first and even that didint work. Please help! Thanks

#### Geometry proofs fill in the blank help!!! ASP

1. We are given that diagonals segment AB ≅ segment BD.2.It can be stated that segment AB ≅ segment DC because they are opposite sides of a parallelogram.3. By the Reflexive Property of Congruence,...
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#### Fill in the blank proof !Help!

1. We are given that diagonals segment AB ≅ segment BD.
2.It can be stated that segment AB ≅ segment DC because they are opposite sides of a parallelogram.3. By the Reflexive Property of...
more

06/13/18

#### Quadrilateral Proof

Given: line AB is parallel to line CD and AB is congruent to CD
Prove: AE=EC
*Note: the diagram given looks like a parallelogram with both diagonals drawn

#### How do I prove that a set of closed sets is itself closed.

Hi, I have been asked the following but am struggling.
Let {Ωa : a ∈ I} be an arbitrary family of closed sets Ωa ⊆ Rd with an index set I. Prove that
∩ Ωa
a ∈ I
is a closed...
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#### Geometry Proofs

1. The ratio of the volume of a pyramid to the volume of a prism with the same base and height is _____
Because the formula for the volume of a prism is V=Bh , where B is the area of the base and...
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05/27/18

#### Proving Triangle Congruence

Prove: Triangle CBD is congruent to Triangle CAE
Given: angle A is congruent to angle B, Point C is the midpoint of segment AB

04/10/18

#### if a, b, c, and r are any vector, prove [a.bxc]r = (a.r)bxc + (b.r)cxa + (c.r)axb

Im using a period as dot product and x for cross product. I've been stuck on this problem for a long time. My main question is, if there is a vector next to a parenthesis does that imply cross or...
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02/25/18

#### Induction proofs

Exercise 2.25: P(n) is the number of regions in the plane formed by n lines in general position: n=1, p(n)=2; n=2, p(n)=4; n=3, p(n)=7; n=4, p(n)=11; n=5, p(n)=16; n=6, p(n)=22.2.76) Finish the...
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02/21/18

#### Prove that for any integer z that is a perfect square, there exists integers m and n such that m^2+n^2=zk.

Let k be an integer such that there exist integers p and q with p^2+q^2=k.
Prove that for any integer z that is a perfect square, there exists integers m and n such that m^2+n^2=zk.

02/12/18

#### Prove by Induction question, 2+6+18+...+ 2.3^n-1 = (3^n)-1

Can anyone help me solving this problem, Im really really lost. Thank you

Proofs

02/07/18

#### If angles 1 and 3 are equal, and angles 4 and 6 are equal, and angles 1 and 4 are equal, show that angles 2 and 5 must be equal.

This is a problem I've been trying to work out, I'm new to proofs, haha. Any ideas/explanations? LInk to picture: https://i.imgur.com/rw8rQPl.jpg

#### 2 Column Proof

Solve for m<3 in terms of m<1
Given:
<1 & <2 are complementary
<2 & <3 are supplementary
(< means angle)

#### Proofs, Math logic

How can you prove that one positive integer is less than another? A<B

#### Set Theory/Math Logic

Is there any way to prove that
- Every point in A intersect B is greater than or
equal to 1?
- The intersection of two sets has a point in commonwith another set?
If there is no way to...
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Proofs

12/30/17

#### angle a is congrunt to angle c and angle EBA is congruent to angle DBC and B is the midpoint of line segment AC prove triangle AEB is congrunt to triangle CDB

how do I do this proof in statements and reasoning

12/08/17

#### Help me with proof by contradiction pls

I need to prove the fact that 2^(1/2)+3^(1/3) is irrational. Can someone help with this pls

#### Given: Segment AB is parallel to Segment CD, Segment AB is congruent to CD. Prove: Triangle ABC is congruent to triangle DCB

Cannot pick up the pattern in this specific topic.

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