233 Answered Questions for the topic Proofs
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)
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...
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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.
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...
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Proofs
10/30/17
given: b is the midpoint of line segment AC, and line segment AB is congruent to line segment CD Prove: C is the midpoint of line segment BD
I just need the reasoning of the steps
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
10/21/17
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 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...
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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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