The order of 2 mod 17 is: a) 2 b) 4 c) 8

Q: Prove that Va - Vb is irrational number if 'a' and 'b’ are prime number?

A: Given To prove that a-b is irrational number if a and b are prime number.

Q: Arethetrianges congruent? If So, state hoW. O Gina Wison (AI Things Algebra) 2014

A: Consider the triangles

Q: 25 Perform the mndi.cated -Computation Write the answer in scienh fic notation (4~10*/2.1

A:

Q: {X = I (mod 3) 2X= 2 (mod 5)

A:

Q: The square of an even integer is congruent to 0 (mod 4). Select one: O True O False

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: if ABC is congruent to ADC which is NOT true by CPCTC?

A: According to CPCTC, corresponding parts of congruent triangles must be equal. Corresponding parts…

Q: If a proof shows AF EG which theorem would show that AABF EAEDG Trign le

A:

Q: If z is an odd ratural number then 2^+1 is divisi ble by 3 hìnt: prove by Induction

A:

Q: Write the proof. Using information from the diagram to prove that A ABD A CDB . Statements Reasons

A: Solution: The objective is to prove ∆ABD≅∆CDB

Q: TU || SV and UV || ST. Complete the proof that ASUV AUST.

A:

Q: Let A = {r € Z | r mod 15 = 5} and B = {x € Z| r mod 3 = 2}. Give an outline of a proof that A C B,…

A: Suppose we have two non-empty sets A and B . If x∈A then x∈B for all x∈A then A⊆B . If x∈B then x∈A…

Q: Juppose that the Mumber On ole det Bively by ogas for all nz2. Show that Oh= 2 +3( recu true for…

A: true

Q: x is congruent to 43 mod 12. Then x is

A: x is congruent to 43 mod 12 implies x congruent 7 (mod 12). So, solution in the least residue system…

Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

A:

Q: Prove that if (a, b, c) is a Pythagorean triple and n is a natural number, then (na, nb, nc) is also…

A: A Pythagorean triple a,b,c has a relation as follows:  c2=a2+b2        .......1

Q: Given that 7,=21+)i and Za= FatYai Prove that

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x is congruent to 31 mod 6. Then x is 40 54 55 None of the option

A:

Q: Suppose that a and b are two numbers with this property: for anv e va it is true that azb. Prove a =…

A:

Q: Prove that ABC and EDC are similar

A: In triangle ∆ABC we have given  AB=3, BC=5 and CA=4In triangle ∆EDC we have given  ED=9, DC=15 and…

Q: Consider 64z 16 mod 196. The number of solutions mod 196 is Oa None Ob 3 Oe 1

A: We find the number of solutions incongruent mod 196

Q: For all intgars a, if 615a, thenbla

A:

Q: Which congruence postulate or theorem can be

A:

Q: siven: ALMN; mLL > m2N rove: MN > TM

A: We have to prove that one side is greater than other side in given triangle.

Q: Complete the following proof in the format of your choice. 4. Given: AB = DC and AB || DC Prove:…

A:

Q: Prove that the Ving of ComPelX numbers C¢,+.)is fielol

A: Solution is given as below:

Q: Prove that R(5, 5) < 50.

A:

Q: (a) In(ax), (b) In(x* + 1), (c) æ In a, (d) æ", (e) In(e" + 1), (f) exp(e" +1), (8) In +1

A: We have to differentiate the given functions.

Q: Prove the following (by using contrapositive): Let a, b and n be integers. If n doesn’t divide ab,…

A:

Q: In AABC, m2C = 90° A, Z1 and 22 are complementary Given: Prove: 2

A: Sum of measurements of angles of a triangle is 180 degree.

Q: 12. Prove: If AC B and C C D, then ANCCBND.

A:

Q: Does x2 + 5x congruent to 12 (mod 31) have a solution? (Hint: complete the square)

A:

Q: Which postulates can be used to prove A CAT and A DOG are congruent? SSS Postulate O SAS Postulate O…

A: Two triangles are congruent by only five given postulates. SSS SAS ASA AAS RHL

Q: Use algebra to prove | (ka, kb)| = |k| • | (a, b)|.

A: To prove: |(ka , kb)| = |k|.|(a , b)| L.H.S  = (ka , kb)            = k(a, b)                  . .…

Q: Given: 24 = Prove: 25 = 26 9, atements Reasons Gro en 25 26 5

A:

Q: re that it Mü Noetherian, than M is rian.

A:

Q: Ha = b (mod n) and gcd (a,n)= d, then gcd (b,n) %3D

A: Given a≡b(mod n). This can be written as a-b≡0(mod n). Implies a-b=kn for some natural number k.…

Q: Explain why the congruence r2 = 2 (mod 4) has no solutions in Z

A: Result: Square of all integers modulo 4 is either 0 or 1.…

Q: State the additional parts needed to prove AABC ADEC by the ASA congruency principle. A

A: ASA = Angle Side Angle  we need a side lies between two congruent angles to use this Theorem

Q: . Prove that V6 is irrational number. -. If a, b e R, prove that ab <(a² + b°).

A: We have to prove that 6 is irrational number

Q: 3. Let AC BCR. Prove ACB.

A:

Q: R.

A:

Q: Prove in any Pythagorean triple (a, b, c) that either a or b is divisible by 3 and one of a, b, c is…

A: A Pythagorean triple is three numbers a,b,c such that a2+b2=c2. Also if a,b,c is a Pythagorean…

Q: 9. Use Euler's Theorem to show that 3P(26). =1 (mod 26). Show your work or explain your reasoning…

A: To show it by Euler's theorem :-

Q: Suppose a, b, c and d are integers. Prove that  if a divides b and c divides d, then ac divides bd

A: According to the given information:   It is given that a divides b, there is an integer x such that…

Q: Does

A:

Q: 2x = 1(mod 5) 31( mod 7) 5x 9(mod l)

A:

Q: An indirect proof is to be used to prove the following: If AB = AC, then AABD = AACD. Which one of…

A:

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? If p|rq, prove that p|r…

A: Given that p, q and r are prime numbers and p≠q.