140 Answered Questions for the topic Proofs

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

Proofs

08/13/17

#### Well Ordering Principle Question

You are given a series of envelopes, respectively containing 1, 2, 4, , , , , 2m dollars.Definition:Property 1: For any nonnegative integer less than 2m+1 there is a selection of envelopes
whose...
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Proofs

08/13/17

#### Proving BIjection

Suppose thata + b + c = d;where a, b, c, d are nonnegative integers.Let P be the assertion that d is even. Let W be the assertion that exactly one amonga, b, c are even, and let T be the assertion...
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07/13/17

#### how do you prove that the derivative of x^n is nx^n-1

how do you prove that the derivative of x^n is nx^n-1

Proofs

05/30/17

#### given: line wy is perpendicular to line xz and angle w is congruent to andgle y prove: triangle xyz is congruent to triangle xyz

I need help to find the proof

Proofs

05/08/17

#### Discrete math: proving by contradiction. . .

Prove by contradiction: If an integer n has the form 3K+1, then it does not have the form 9L+5.

#### How do I prove this statement? sin^-1(sin Ø) = Ø

I can't figure out how to prove that statement. Any help would be great.

Proofs

03/06/17

#### If both pairs of opposite sides of quadrilateral ABCD are congruent, prove that △ABC is congruent to △CDA

The picture is a quadrilateral with point A on the bottom left corner, point B on the bottom right corner, point D on the top left corner, point C on the top right corner, with a diagonal line from...
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Proofs

03/02/17

#### I did half of this question but am stuck on the second part of it.(a) Prove that a divides bc+2 (b) Does a necessarily divide bc-2? Why?

2 Let a and b be integers such that a divides b+2 and a divides c-1.(a) Prove that a divides bc+2Let a, b and c be integers such that a divides b and a divides c. Let x and y be integers. Then...
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02/06/17

#### Write a plan to prove that the midpoins of the sides of a rhombus determine a rectangle using coordinate geometry.

Full Question: The coordinates for a rhombus are given (2a, 0), (0, 2b), (-2a, 0), (0,-2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using...
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#### Prove (x^5)+(e^x)=0 has at most 1 real root

I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.

11/28/16

#### Given: line WXY, m<WXZ = 135°. Prove: m<ZXY = 45°

Statements
line WXY
m<WXY = 180°
m<WXZ = 135°
m<WXY = m<WXZ + m<ZXY
180° = 135° + m<ZXY
45° = m<ZXY
m<ZXY = 45°
Reasons
Given
Defintion of supplementary...
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11/27/16

#### Prove using a paragraph proof.

** Will need 3 steps.
If m<1 = 40° and m<2 = 50°, then the angles are complementary.

11/27/16

#### Prove using a paragraph proof.

Statements:
9 = 4x - 3(x - 2)
9 = 4x - 3x + 6
9 = x + 6
3 = x
x = 3
Reasons:
Given
Proofs : Fill in the reasons (4) for the statements provided

11/27/16

#### Given: m ⊥ l, n ⊥ l. Prove m || n

Statements:
m ⊥ l, n ⊥ l
<1 is a right angle
<2 is a right angle
<1 =~ <2
m || n
Reasons:
Given
Proofs : Fill in the reasons (4) for the statements...
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11/17/16

#### Given: AL = SK ; Prove: AS = LK

Could you prove and explain how you did it/ what properties you used.
A____L_________S____K <---- Line Segment

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