140 Answered Questions for the topic Proofs

#### Proving Vertical Angles Are Congruent

Given: Angle 2 and angle 4 are vertical anglesProve: angle 2 is congruent to angle 4Statement options:
m angle 2+ m angle 3= 180
m angle 3+ m angle 4= 180
angle 2 and angle 3 are a linear...
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Proofs

05/13/20

#### Give an example of a subset B ⊆ A whose power set P(B) has cardinality 4.

Let A be the set of letters in your full name. Give an example of a subset B ⊆ A whose power set P(B) has cardinality 4.

Proofs Math

05/13/20

#### Prove that if n ∈ N is odd then 2019n 2 − 2020n + 2021 is even.

Prove that if n ∈ N is odd then 2019n 2 − 2020n + 2021 is even.

Proofs Math

05/13/20

#### Use mathematical induction to prove that 7 divides 36n − 22n for any n ∈ N.

Use mathematical induction to prove that 7 divides 36n − 22n for any n ∈ N.

#### P is any point in arc APB and C is the midpoint of arc ACB. If chord AB cuts chord CP at E, prove that triangle APC is similar to triangle EAC

Please write a two-column proof. Also, there should ONLY be one given (statement).

#### If P is any point on side AB of triangle ABC and F, K, E are the midpoints of AP, PB, and PC, prove that triangle FKE is similar to triangle ABC

Please write a two-column proof. Also, there should ONLY be one given.

#### ABC and DEF are two isosceles triangles on bases BC and EF respectively. If AB : BC = DE : EF (proportion), prove that the two triangles are similar.

Please write a two-column proof. Also, there should ONLY be one given.

#### ABC and DEF are two isosceles triangles on bases BC and EF respectively. If AB : BC = DE : EF (proportion), prove that the two triangles are similar.

Please write a two-column proof. Also, there should be ONLY given.*If you could*, please choose some of these statements and use some of these reasons to prove the statements true. (Those below are...
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#### If P is any point on side AB of triangle ABC and F, K, E are the midpoints of AP, PB, and PC, prove that triangle FKE is similar to triangle ABC

Please write a two-column proof. Also, there should be ONLY given.*If you could*, please choose some of these statements and use some of these reasons to prove the statements true. (Those below are...
more

#### How can i show and prove rigorously that for all integers, i can paint all these segments red?

Three counters, A, B, C are placed at the corners of an equilateral triangle of side n. The triangle is divided into triangles of side length 1. Initially all lines of the figure are painted blue....
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Proofs

03/28/20

#### Need help answering proof question about differentiating on an interval

I am unsure about how to approach this question about differentiability and would appreciate some help on how to prove this.Suppose that g is differentiable on an interval I. Show that for all n in...
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03/12/20

#### Prove that the set {v + w, v + x, w − x} is always linearly dependent

Let v, w, x ∈ Rn be vectors. Prove that the set {v + w, v + x, w − x} is always linearly dependent (even if {v, w, x} is linearly independent).

03/12/20

#### If the set {v, w, x} is linearly independent, so is {v+w, v+x, w+x}

Let v, w, x ∈ Rn be vectors. Prove that if the set of vectors {v, w, x} is linearly independent, then so is the set {v + w, v + x, w + x}.

Proofs Trigonometry

02/24/20

#### How do you prove in two column form this proof? Given:Quadrilateral WXYZ with line XY, line YZ, line ZW, and line XW tangent to circle K. Prove: XY +WZ= XW +YZ.

The figure is a kite shaped square with a circle inscribed in it.

02/21/20

#### Abstract linear algebra

generalize the notions of external and internal direct sums to three or more summands.

#### PMI Proof Pre-Cal II (Help!)

Using PMI, prove 1 + 1 +... + 1 = n-1 For n > 2 1*2 2*3 n(n-1) n

12/23/19

#### Prove the division theorem.

I need the proof of the division theorem for positive integers using induction.

12/23/19

#### Division theorem by induction.

Help! How can I prove the division theorme for positive integers using induction?

Proofs

11/21/19

#### Angle 1 is supplementary to angle 3

Proofs Geometry

10/22/19

#### Word Proofs In Geometry

Given this axiomatic system: 1) any letter can change to A 2) two C's in a row can change to B 3)any word (an entire string of letters) can be doubled. Given: C Prove: AACB

Proofs Geometry

10/22/19

#### Proofs help homework

Fill in the missing justification in the following algebraic proof Given: 4(x-8)=2x+12 Prove: x=22 Statement Reason 4(x-8)=2x +12 Given 4x-32=2x+12 2x-32=12 2x=44 X=22

#### Is this equality [0.5, 7.5] ∩ N = [1, 7] correct?

A brief explanation would be greatly appreciated!

Proofs Geometry

10/05/19

#### How do I solve a proof that has Given: angle 5 is complementary to angle 7. Prove: MI is perpendicular to IE.

It also gives me a diagram that has what looks like a right angle (MIE) and a line (K) that is in the interior of the angle.

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