In the diagram below, prove that AKLM = AKNM. K

Q: Complete the following proof. Given: FG FJ, HG = IJ Prove: HF = IF

A: I have provided solution in step2.

Q: If h(t) t" where n is a natural number, then what is h'(t)?

A: If h(t)=tn, where n is a natural number then our aim is to tell the valueof h'(t)=?

Q: 18) (SAnn B anlogbro dtiv C AB = 12, BC = 3x + 6, and AC = 5x – 12 a) Find BC b) Find AC

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Use the given information to prove that ADEF AHGF. H Given: DF E HF ZDEF ZHGF F G E Prove: ADEF AHGF

A: To prove triangle DEF is congruent to triangle HGF

Q: GIVEN: SE = SW, 41 = x2, EL = WB. PROVE: KL AB. W

A: Congruency  Properties : angle angle side (aas) property                       Congruent parts of…

Q: Given: LM NO; ZLMO = ZNOM Prove: LO NM ments Reasons

A: We have to Prove that LO congruent NM

Q: Solve the following SLE by using ERO: Q2 х + Зу — 2z Q1 х — 2у — 10 Зх + у 3D 9 - —х — у +4z 2х + у…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Which of the following is a condition for the figure below that will prove l || h a)La a Lc b)mLb +…

A: Given : To determine the condition when l1∥l2

Q: Is A – (B U C)= (A – B) N (A – C)? Prove it or disprove it.

A:

Q: ax +be

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: a, Find at2

A: Given :…

Q: GA Given: AC FB TO BC Prove: AB GF

A: Given : GAAC=FBBC To prove : AB¯ ∥GF¯ Proof : If possible let AB is not parallel to GF. So let us…

Q: Prove that the following relationship is true: nCr + nCr + 1 = n + 1Cr + 1

A:

Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

A:

Q: Given: TP L AS, AP a SP Prove: AATP ASTP

A: Congruency

Q: Find the value of c such that enc = 7 c= In

A:

Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

Q: Prove that on average, permutations of length n have H, cycles, where Hn i=1

A:

Q: Find the value of c such that enc = 5 n= 0 C =

A:

Q: Let gt): csc (U) for Oct C! and CSC 2- 13/2- 2 How do I find fogle)

A:

Q: K is the midpolnt of GI and HI | GJ. Complete the proof that AHIK E AJGK.

A: Given,            K is the midpoint of GI¯ and HI¯ ∥ GJ¯

Q: Let c E R and suppose that an → a. Show that can → ca.

A:

Q: @S. Let fGJ = 12 Find fla)=

A:

Q: Find the Re and Im parts of exp(z?)

A:

Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: Show that e = o (hª) as h → 0 for all values of q.

A: Like big O notation, there is also a little o notation. There is a difference between big O and…

Q: In AABC, AB//QR and AP : PB = BR : RC. With reasons, prove that PQ//BC. R C

A:

Q: If A is similar to B, prove that AT is similar to BT.

A:

Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

A:

Q: Prove the convolution theorem below, Eqn. 19a.

A: In this question, we prove the convolution theorem for Fourier inverse transform…

Q: Given: ZA = LC DC AB DA | СВ Prove: A B

A: Given that ∠A≅∠C, DC→∥AB→.

Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

A:

Q: 6. Find Ar for A = and z= Az =

A:

Q: Based on the drawing below, in order for AABC to be similar to ADEF by SAS similarity, which of the…

A: Angle C needs to be equal to angle F for these triangles to be similar by SSS.

Q: Prove using INDIRECT PROOF: 1) P → Q 2) R → S 3) ﬢQ ۷ ﬢS ﬢP ۷ ﬢR

A: The statements given are as follows: P→QR→S~Q∨~S For the first statement, we will apply the…

Q: GIVEN: In Figure 5.22(a), AABC with right ZC PROVE: c2 = a² + b²

A: Consider the given ∆ABC with right angle ∠C

Q: 4|5" – 1, Vn e N

A:

Q: 1. In the diagram below, BFCE, AB I BE DE 1 BE, and ZBFD = ZECA Prove that AABC ~ ADEF. B. CE A,

A: That's easy to follow, just a careful observation needed.

Q: Prove the followling identites 9) A-7-A 2. gn gntt

A: a) Given, ∆-∇=∆∇ Take LHS, ∆∇fx=∆∇fx Since, ∇fx=fx-fx-h ; Here h is the step size. and ∆fx=fx+h-fx

Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

A:

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: re + e Show that 1. 2

A:

Q: . Given: AB > AC; BD = EÇ Prove: BE > CD A E D

A: AB>AC and BD=EC in the triangle

Q: Then prove that 3 (i) P (AUB) > 1 (ii) <P (An B) S 10

A: Answer: From the given data, P(A) = 3/5 and P(B) = 1/2

Q: Find the inverse Z-transtorm of he follows housing de X(Z)= tanh (z

A: