Write the reasons that justify the statements. 6. C T A BKR Given: AABC = ARST Prove: AK > RS Statements of proof: 1. AABC = ARST 2. AB = RS, or AB = RS 3. AKAB + BK 4. AK > AB 5. AK > RS 7.

Q: Which of the following statement/s is or are true? * 1 point i. Everything in nature is…

A:

Q: e a two-column proof. 24. Given: ZP ZT, ZS ZQ TR= PR, RP=RQ, RTRS PQ = TS Prove: ΔPRQ = ΔTRS P. R T

A: The given data is: ∠P≅∠T∠S≅∠QTR¯≅PR¯RP¯≅RQ¯RT¯≅RS¯PQ¯≅TS¯  To prove: ∆PRQ≅∆TRS

Q: Choose the correct statement(s) below. Select all that apply. A |B = B| A AUB= BUA If A and B are…

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Q: Use a direct proof to prove the following: Prove: Q Premises: P⇒Q, P⇒S, -S

A: We use the rules of inference to prove the given argument.

Q: Provide the contrapositive to the statement below, then use a proof by contrapositive to prove that…

A: Solution

Q: Consider the statement “(a – 3)(a – 5) > 0 implies a < 3 or 5 < a". a) What is the converse of the…

A: As per guidelines, we will solve first three subparts only. Given statement is "a-3a-5&gt;0 implies…

Q: Given: ABa AC, AD 1 SC Prove: C Proof

A:

Q: Nrite the Final Column (only the Fir gical statements. Write T for True ar "pV (q p)

A: (A) ~p ∨( q→p)                p                q                ~p           q→p       ~p ∨ (q→p)…

Q: If A and B are mutually exclusive then then: put T or F for the assertions a to d. P(AUB) = 0 P(AᴒB)…

A: two events Aand B are said to be mutually exclusive if they cannot happen together. In set language,…

Q: Prove: GJ=HI

A: When two lines intersect each other at a point then the pair of opposite angles formed is equal and…

Q: Let a = 5i – 2j and b = 2i + j – 7k then what is a. b =? O a. 12 O b. 8 O c. 1 O d. -8 O e. -12

A:

Q: Place the numbers 27, - 5, 3- and 27 in the correct position on the 7a. Venn diagram. R Q 7b. In the…

A: We have given that the numbers 2pi, -5, 3-1 and 23/2.

Q: from the given set of premises. Include statements and reasons. 38. Given: p → q r → p q → k 36.…

A: 36 Given -  α→mm→tα→? to prove α→t lets us show this by making a truth table for this α m t α→m…

Q: Determine which formula pairs are equivalent. If equivalent, prove it using the laws of equivalence…

A: We will use the truth table to check if each pair is equivalent. (a) r∧p→q∨~q→r  and  ~r→p↔p↔q∧r…

Q: 3 4] 2 and ||A||, = 17 , then k= -2 k. If A = ||k|+1 1 -1 Select one: а. 11 b. 14, -14 С. 11, -11 d.…

A:

Q: 3. x is greater than or equal to -2. 4. If x +2 4, is x = 22 5. The sum of the interior angles in a…

A:

Q: Let p and q represent the following statements. p: 6+7=12 q: 2×9=36 Determine the truth value for…

A: We have given that p and q are following statements. p: 6+7=12q: 2×9=36 We need to find truth value…

Q: K M Statements 1. ZKLM ZKM] 2. m/KLM = m/KMJ 3. m2JKM > LKLM 4. m/JKM> mzKMJ 7. 8. 9. 10. Reasons.

A:

Q: Given: 21 = 2 Prove: a l b What is the missing reason in the proof? 1 4 b 2

A: On solving ,we get

Q: Does there exist a Pythagorean triple (a, b, c) where c equals the sum of a and b? A different way…

A:

Q: Let r mean "I am in a boat" and s mean "I see a pod of whales". Which of the following statements a

A: Truth table: In logic, a truth table may be a chart that displays the truth-value of 1 or additional…

Q: Use the law of syllogism to write a new conditional that follows from the pair of given statements:…

A:

Q: What is EC? U = R A = {a EN: a is a multiple of 3 less than 15} B = {bEZ: -15 4}

A:

Q: each item. 1. C(8, 3) = 2. C(n, 4) = 15 3. C(8, r) = 28 4. C(9, 9) = 5. C(n, 3) = 35 6. C(10, r) =…

A: (4) The number of ways is,

Q: Fill in the blank with c or g to make a true statement. a) {a, b, c} b) {1, 2, 3, 4} {а, с, d; {1,…

A: A set is a collection of well defined objects. If an elements of one set  A  is presented in the…

Q: 1. Here is a model M: Domain: {1,2, 3, 4, 5} P: {1,3,5}, Q : {2,4, 5}, R : Ø, S : {3,4} a : 3, b : 4…

A:

Q: Derive the conclusion from the premises provided inside the proof-checker box. (P [RS]), (¬S & P)…

A: To prove: (P → [R → S]), (¬S &amp; P) ⊢ ¬R

Q: In the diagram, FH = 2FG, GH = HI, and FI = IK. Which of the following statements must be true? G H…

A:

Q: Exercise 4. Consider the statement VxZ, if x² is even, then x is even. Recall that we say that an…

A:

Q: 1.)P V 2-) PANg .pr

A:

Q: 15. YABCIa stnight Ine, ZCRO, and D Mbecta C+ ZCBG, then Zx y

A: Solution Given   From above the figure IfABC  ↔ is a stright line ,∠r=∠s BE→ bisects the ∠CBO . and…

Q: Given: AM BM Prove: AD = BC

A: We have to prove AD¯≅BC¯.

Q: Prove or disprove: If a I (b + c), then either a I b or a I c.

A: Let us consider the following values             a = 5,              b = 3,             c = 7.…