233 Answered Questions for the topic Proofs

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

06/06/18

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... more

05/30/18

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... more

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  

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... more

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... more
Proofs Math Math Proofs

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.

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
Proofs Math Geometry

01/31/18

2 Column Proof

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

01/26/18

Proofs, Math logic

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

01/25/18

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... more

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

11/20/17

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.
Proofs

11/07/17

Proving using induction. Polygons and (n-2)*(180)

Show that if n > 2 points are spread round a circle and are connected in order to form a polygon, then the interior anglesof the polygon add up to (n − 2) × 180◦ Basis: let n=3 3>2 which is... more
Proofs

10/30/17

M<TUV=90, m<XWV=90, m<1=m<3

It’s about proofs M<TUV=90, m<XWV=90, m<1=m<3
Proofs

10/28/17

Prove: triangle ABC is congruent to triangle DCB

Given: Line AB is congruent to line CD           Line AB is parallel to line CD

True or False: If false, give a counter example if true write a proof. Discrete Math

For all positive integers m and n, with m<n if m divides (35n) then either m divides 35 or m divides n
Proofs

10/20/17

Prove this relation:

if 3x5y=325, then x=2 and y=1 

Prove that gcf(p,q) = gcf(p+q,lcm(p,q))?

Prove that gcf(p,q) = gcf(p+q,lcm(p,q))?
Proofs Trigonometry

09/28/17

Prove that Cos(2x) = -Sin(x)

Took a quiz in precal and this question completely stumped me to the point of writing it down to try and figure it out later. I know you would start with the left side but that’s as far as I have... more
Proofs

09/28/17

What's the proof bu induction of the( summation from i=1 to 2k-1 of (x^i/(x^i+x^k)) )= k-1/2

let x be a positive real number let k be a positive integer prove  by induction that: 2k-1 ∑       xi / (xi +xk)      = k- (1/2) i=1
Proofs

09/27/17

Geometry proof should

Given:<DBE is congruent to <EBF Prove: <ABE is congruent to <CBE

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