212 Answered Questions for the topic Proofs

06/07/21

#### Algebraic Proof Question

Using algebra,prove that, given any 3 consecutive even numbers, the difference between the square of the largest number and the square of the smallest number is always 8 times the middle number.
Proofs Geometry

05/27/21

#### Triangle Proofs, plz help

Given : AB is congruent to AC and DA bisects angle BAC Prove: angle DBC is congurent to DCB

05/10/21

#### How do I solve this Derivation Proof in Logic ¬A → [(B ∧ A) → C]?

I have attempted to solve this question multiple times but keep getting it wrong. Im only allowed to use Conjunction Introduction/Elimination, Conditional Introduction/Elimination, Negation... more
Proofs Geometry

04/27/21

04/16/21

#### Given the figure, prove that ∠CAK > ∠G

Note: Use Geometric Inequalities, Thank you

04/07/21

#### What is the most probable next number in the sequence?

What is the most probable next number in the sequence?2, 3, 5, 8, 13, 21,3 4, 55, 89, 144, 233, 377, 610,...

04/07/21

#### Write an explicit formula for the sequence:

Write an explicit formula for the sequence: {-1/6 , 1/7, -1/8, 1/9, -1/10, 1/11, ...)an= ?

04/07/21

#### Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{ 7/2 , 7/4, 7/8, 7/16, 7/32, ....)assume the first term is a1an=

04/06/21

#### STATEMENTS AND PROOFS

1. Given: CI ≅ HI & GI ≅ AI Prove: △CIG ≅ △HIA Given: RE ≅ NE, RO ≅ NO Prove: ∠1 ≅ ∠2

04/06/21

#### STATEMENTS AND PROOFS

1. Given: CI ≅ HI & GI ≅ AI Prove: △CIG ≅ △HIA Given: RE ≅ NE, RO ≅ NO Prove: ∠1 ≅ ∠2

04/06/21

#### FInd a formula for the general term a_n of the sequence assumin the pattern of the firwst few terms continue

{ 2/2 , 2/4, 2/8, 2/16, 2/32, ....}Assume the first term is anan = ???

04/03/21

#### Mathematics: proof with sets

A) Prove that given sets S and T, we have S⊆T if and only if S=S∩TB) If S∩T=T∪S, then S=TC) If SxT=TxS and both T and S are nonempty, then S=T

03/30/21

#### Some basic proof by cases problems

I'm stuck on these basic proof problems. Could you share your solutions with me?a)Prove 3|(2n^2+1) if and only if 3∤n for n∈Zb)Let a∈R. Prove that a^2≤1 if and only if -1≤a≤1

03/18/21

#### Find the nth term of the geometric sequence whose initial term is a1=8.5 and common ratio is 7.

Find the nth term of the geometric sequence whose initial term is a1=8.5 and common ratio is 7.an= ? Must be a function of n
Proofs Math Geometry

03/17/21

#### Geometric Reason and proof

Provide reasons for the proof.Given: angle 2=4and 2 and 3 are supplementaryProve: angle 1=3Statement: Reason1. 2 congruent to 4 1. Given2. m2=m4 2. Angle congruence postulate3. angles 2 and 3 are... more

03/05/21

#### Find the least non-negative integer that satisfies this existence theorem:

Find the least non-negative integer that satisfies this existence theorem: There exists n is an element of Z (real number) 2n^2 - 7n + 2is prime.

03/01/21

#### The coordinates of quadrilateral PRAT are P(a, b), R(a, b + 3), A(a + 3, b + 4), and T(a + 6, b + 2). Prove that RA̅̅̅̅ is parallel to PT̅̅̅̅.

The coordinates of quadrilateral PRAT are P(a, b), R(a, b + 3), A(a + 3, b + 4), andT(a + 6, b + 2).Prove that RA̅̅̅̅ is parallel to PT̅̅̅̅.

02/27/21

#### Verify the identity algebraically. Use a graphing utility to check your result graphically.

sin(a/3)cos(a/3) = 1/2sin(2a/3)Use a Product-to-Sum Formula, and then simplify.sin(a/3)cos(a/3) = 1/2(sin(a/3 + a/3) + _____)= _______

02/23/21

#### Linear Algebra Question

Let G be a function from R2 to R2, G: R2->R2 so, if xER2 then G(x) is uniquely defined. and G(x)ER2 (for example the velocity of a boat as a function of its position on the ocean)We say that G... more
Proofs Geometry

02/23/21

#### how can i prove ABCD is a parallelogram?

Given: Quad. ABCD with diagonal BR, <A=<C and <ABD=<CBD. prove ABCD is a parallelogram
Proofs Geometry

02/18/21

#### Complete the two-column proof of Theorem 3.9

Fill in the blank spaces for the reasonsProve theorem 3.9Given: m⊥l, n⊥lProve: m || nStatements Reasons m⊥l, n⊥l <1 is a right angle. <2 is a right angle... more

02/06/21

#### Verify the identity algebraically. Use a graphing utility to check your result graphically.

5 sin(𝜃) csc(𝜃) − 5 sin2(𝜃) = 5 cos2(𝜃)Use the Reciprocal and Pythagorean Identities, and then simplify. (Simplify your answers completely.)5 sin(𝜃) csc(𝜃) − 5 sin2(𝜃) = __________ - 5 sin2(𝜃)=... more

02/06/21

#### Verify the identity algebraically. Use a graphing utility to check your result graphically.

5cot(𝛼) / csc(𝛼) - 1 =5csc(𝛼) + 5 / cot(𝛼)Multiply the numerator and denominator by a common expression, and then use a Pythagorean Identity to simplify. (Simplify your answers completely.)5cot(𝛼)... more
Proofs Math Geometry

02/05/21

#### Given: C(0,0), A(d,e), T(c + d, e) and S(c,0). Prove that CATS is a parallelogram.

Given: C(0,0), A(d,e), T(c + d, e) and S(c,0). Prove that CATS is a parallelogram.

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