16.) PCn,k); For exomple, how do you compute PCG, 3) 17.) C (n,k)For example, compute C CG,3) or C§ ) Describe Cusing uords and lor müm bers) the elements inthe sets specifiedl below!

Q: Finding the Inmee ef the Sere af a Mstri le Exerebes 37-40, compute wadifferent ways and that the…

A:

Q: 1. If corresponding congruent parts are marked, which congruence postulate proves that ΔABD ≅ ΔCBD?

A: Given,

Q: Show that the mogping LiPaRI-+IR L Carcaxtat = (asta, on) is liher trasfaret

A:

Q: If geR[a,b] and if hGx) = gCa) except for a finite num ber of points in [a, b], then prove that…

A: Here we apply riemann integration formulas.

Q: s, proof that (A UB)' =_

A: we have given A={0,1,2,6} B={4,6,5} C={1,3,5}

Q: Show that the sets [0,1] and (0, 1) are equinumerous 7.

A:

Q: consider the polyn mialfunction Fin)= - len9-Hn8 -5ne+yn. As n->-00,f lh) -> Af n-> 00 ,f in)-…

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Q: 2. Use the SSS Similarity Theorem in writing an if-then statement to describe the illustration or in…

A:

Q: 1. In AABC, show that the midsegment ED is par- %3D BC. allel to BC and that ED

A: Triangle Mid-segment Theorem states that the line segment connecting the midpoints of any two sides…

Q: Prove: Vn, meZ,if n and m are odd, then n-m is even

A:

Q: How many triangles can be formed from 11 distinct points on the plane, no three points of which are…

A:

Q: 34 Apply gaussian quadrature o forrula to evaluate 2 e doc trog lomibsb o caa using four panels…

A:

Q: Justify that if two triangles are a pair of 5-con triangles (that is,they have 5 pairs of congruent…

A:

Q: Determine for which n ≥ 3, Wn has a Hamilton circuit. Justify your answe

A:

Q: prove tuat Only Ø ond IR ere open Subsets of IR Mice handwritting will be appreciated!

A: In the given question we have to prove or disprove that ∅ and ℝ the only open subset of ℝ. Note: the…

Q: prove that for any arrangement of 31 figures on a chessboard, there are 3 places on which there are…

A: As there are 64 places on a chessboard, after filling 31 figures, there will be 33 vacant places.…

Q: Prove that if A and B En and Ac B, then

A:

Q: Write a tuo column proof for the followinS 16iveriRSEUT and RTE 1s Prove: ARSTEATS IT

A:

Q: 14 The postulate that proves the following two triangles congruent is the: O ASA congruence…

A: From the given diagram  one side and two angles are equal.

Q: 2) of Ec, 4" is convngend can we conclude that coch of these are comvergent: (4)

A: Given The sires is convergent then,

Q: SUppose K,n EZ and O < Kcn. Prove +hat by (onsi nsi dering subsets of (1,... --- --- (^) - (":') + (…

A: The given problem is to prove the following identity using the basic mathematical identities.

Q: 44 The postulate that proves the following two triangles congruent is the: O AAA congruence…

A:

Q: 2. Verify the set of conditions that guarantee triangle congruence by SSS postulate. Supply the…

A: We have to complete the given table.

Q: 19) fiud eq uilibrium Point for the demond arol Supplie fumetion of Dq = - 1.259+ 475 and S) =…

A: Given D(q) = -1. 25q + 475 S(q) = -1. 125q + 266 For Equilibrium, D(q) = S(q)  0.125q = 209 q = 1672

Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: Can you help me with a 5 paragraph compare and contrast the trriangle congruence postulates and…

A: Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are…

Q: Use the given information to prove that m2 m23. Given: mZAEC = mZBED Prove: m22 m23 %3D

A: Given-  m∠AEC=m∠BED and consider the figure, To prove- m∠2=m∠3

Q: 3 of 3 Triangle Congruence (ASA, AAS, HL) What additional piece of information would you need to use…

A: given diagram is

Q: Suppose a tair Coin is flipped twice, het A, = "Head on 1st Toss" A= "Hend on 2 Toss" Ag=" %3D 1)…

A: Suppose a fair coin is flipped twice, let A1=”Head on 1st toss”, A2=”Head on 2nd toss” and A3=…

Q: Which pair of triangles can be proven congruent using the SAS Congruence Postulate?

A:

Q: Consider AJRL and AMNO A Which piece of information can be used to prove that AJKL AMNO by AAS?

A: AAS stands for Angle-angle-side. When two angles and a non-included side of a triangle are equal to…

Q: Which postulate can be used to prove the tnangles shown are congruent?

A: Given data: The given length of the side EF=6 units. The given length of the side BC=6 units. The…

Q: Suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. we'll start…

A:

Q: Compute è, and eu based on sit) = う 6stく) tンlo

A: Given  St=1         t&lt;623    6≤t&lt;749    7≤t≤10 0         t≥10

Q: Supplemer 5) 90° Supplement of 90° = %3D B) State whether the given pairs are supples 1) 24°, 156°

A: We have to find the supplement of 90°  And state whether the Given pairs are supplement. 24° , 156°

Q: Which postulate or theorem should be used to prove AHIG AJKI? G O ASA O SAS O SSS O AAS

A:

Q: Let ancl be two comple mat xices for thera Xespective epeation anc! theis respective ConJugate.…

A:

Q: Prove that if n is a natural numbers grater than 1, then ni +1 is odd.

A:

Q: /prove the fottowing Eoshlutv)= Coshucoshv+ Sinhu Sinhk

A:

Q: (2 FIND The KIGEVVALVES Ao EIG-ENVETTURS ASSOIATLO WITIH 2

A: Given that  The matrix  To find the Eigen values and Eigen vectors of the matrix

Q: In order to prove A ABENA ACD,whih

A: Given,       To prove that,           △ABE~△ACD

Q: 18. Either find a Hamilton circut for the figure below or explain why no such circuit exists. Either…

A: Given To check the exist of Euler circuit and Hamilton circuit for a following given graph.

Q: Prove by unduclion Hhat if ne IN - 31,2,3,...f aud 9> 2

A:

Q: what about Fini'te in Finite or in tersection of Par tition of [a,b] Did it is 1 gais partition not…

A: A partition P of Z is a set of non empty subsets of Z such that every element p in P is in exactly…

Q: Let A=(aij)nxn be symmetric and positive definite. Show that laul< (anan), , lis = 1,2,..n 9

A: Given: Let us consider the given, A=aijn×n Let's prove that aij&lt;aiiajj12,i,j=1,2,...,n.

Q: Given: STaVU T. Prove: 4SVTZUTV

A:

Q: Suppose that a,beG such that a = m and b =n with Gcd (m,n) = 1. Then n | is in mn

A: Suppose that a, b∈G such that a=mb=n and Gcdm, n=1 i.e., m and n are relatively prime. We will find…

Q: ® Complete the proof 4 the friet deitaihuteje 10 lav cin In, liky To do this (3 real nembeo), a.…

A:

Q: If geRfabland if hex)=gox) except fos of finive number of number Point in fab?, then prove…

A: The given partition should be first divided into finite partitions.

Q: 31) Find two sets af poler Coorelinates for tue pornt (0,-4) Jer OLQL2T Auywers's 37 テノ, (16,…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.