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

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

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Q: Refer to the figure below. Can the two triangles be proven congruent?  If so, tell which postulate…

A: Yes , we can the two triangles be proven congruent.

Q: A figure is shown. Select the statements that, when taken alone, could be used to prove that AHIN…

A: In triangle HIN and triangle TIG. When line TG is parallel to HN Then, <IGT=<INH<I is…

Q: Use the Pythagorean Theorem to answer each of the following: 20) 21) 7 in 15" 8"

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Q: Give ALL the exteric . MZCAB + MZACB E MZABC = ?

A: Given:

Q: If chord AB is congruent to chord CD, then what must be true about EF and EG?

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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: Suppose that ab = ba, i.e., a and b commute. Determine |a^2 b^3 |, i.e., the order of a^2 b^3 .

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Q: Prove the following is a Pythagorean Triple: (5, 12, 13)

A: Given, (5, 12, 13) To Prove: Given set of numbers is a Pythagorean Triple.

Q: In the figure, four congruent isosceles triangular tiles are placed equidistant from a central…

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Q: What must be true in order for AABC = AEDC by the SAS Congruence Postulate? A ZB = ZD ZA = ZE ©AC CE…

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Q: Given: AB ED, ZASZD Prove: AABC=ADCE

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Q: Show that each conjecture is false by finding a counterexample. 2. For any integer n, n° > 0. 3.…

A: # 2) given statement is n 3 > 0 , for any integer n

Q: ) If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the %3D ollowing: -1 a a) In b-4c! 5) In Vbºca¬T…

A: Answer (a):   lna-1b-4c1= ln(a-1) - ln ( b-4c1)                                            =ln(a-1)…

Q: In △ABC, a = 15, B = 62◦, and c = 7. Calculate ŁC to the nearest tenths.

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Q: In a neqular haptagon (1 sides), the oximate ratlo of the lenpth of au apothem to the leapth of a…

A: Given:

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: Given:

Q: Complete the congruence statement. H AGIH = A

A: We have to complete the  congruence  statement.

Q: Help!!

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Q: If MZACD = 70°, then m<BCD = [ ? ]° %3D

A: Given that m∠ACD=70° -(i)Our Aim is to find the value of  m∠BCD=?

Q: the sol SO =-1 is

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Q: Each letter in the word MATH is written on a card and put into a bag. What is the probibilty of…

A: Given information Each letter of the word MATH is written on a card and kept in the bag Here after…

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

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Q: If m and n are even, then mn is even

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Q: Suppose that BC is the base of isoceles DABC tind x if the peraneter of ABC is 40 (notshown AB=x and…

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Q: What theorem can be used to show that ABC ≅ DEF? A. AAS Triangle Congruence Theorem B. SSS…

A: Solution: The objective is to determine the correct option

Q: The five leaves shown are all congruent,but one differs from the others. Whichone is different and…

A: Given that all are congruent. We shall number the leaves as follows.

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: We can answer the question by naming the figure as below.

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

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Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

Q: 3)if AB 15, BE=6, and CE=12, find DE 4.

A: There is a circle in which the two chord are given. in the given figure there are two chord AB and…

Q: Prove that in triangle ABC, a = b cosy+ccos 3.

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Q: Which statement correctly identifies the segment addition postulate for A, B, and C? A O AB + AC =…

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Q: A midsegment in a triangle divides the triangle into two smaller triangles that are each similar to…

A: We have to identify the statement is true or false.  For this we will use midpoint theorem and…

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: We have to solve the triangle problem

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

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Q: 1. Prove that each example below is a Pythagorean triple. Part A: 77,420, 427 Part B: 279,440, 521…

A: AS we know that Pythagorus theorema2 = b2 + c2Part A: 77, 420, 427772 = 59294202 = 1764004272 =…

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. 州 州…

A:

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: The given figure is

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. o…

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Q: . Consider the following triangles. 60° 2 11 3 30 17 2 17 V3

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Q: Find four Pythagorean Triples that are not similar to the 3-4-5 triangle, or the 5-12-13 triangle,…

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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: Given that a, =3 and if a is even; a n+1 5a -1 if a is odd. Then tern number four, i.e., a, is

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Q: If A ABC I A DEF, what Correspon.ding parts are congrient

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Q: Consider the elements A 1 and B= from SL(2, R). Find IAI, \BI, and IABỊ. Does your answer surprise…

A: A=0-110 &amp; B=01-1-1 Now, AB=0-11001-1-1=00+-1-101+-1-110+0-111+0-1=1101

Q: what is thie answer for this qusetion. In ΔCDE, DE = 20, EC = 3, and CD = 18. Which statement about…

A: Solution is given below:

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: If two triangles are said to be congruent, then their corresponding sides are equal in length and…