135 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 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.

#### 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

#### 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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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?

11/12/19

#### Geometry question #1 from study guide

What is the equation for the point slope form for the line parallel toy=2x−9 that contains J(6,4)?

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.

Proofs Geometry

10/05/19

#### Given: Angle 1 is supplementary to angle 2. Angle 3 is supplementary to angle 4. Prove: anlge 2 is congruent to angle 4. Angle 1 is congruent to angle 3

is I can' t figure out how to write it out

09/03/19

#### Give a recursive definition of a language L_bad that does not contain either three 0s or three 1s in a row.

This assumes that ∑ = {0,1}For example,101101 ∈ Lbad011110∉ Lbad

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