The number of divisors of a natural number n is 15 then the number of solutions (n,m) of n-m? = 4(m el)is A) 1 В) 2 C) 0 D) ∞

Q: In AABC, AB =7 and BC = 10. AC cannot equal C Your answer: O 17 10 7 3.3 Clear answer

A: We use triangle inequality theorem.

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: There are three places P, Q and R such that 3 roads connect P and Q and 4 roads connects Q and R. In…

A: Hi there! Thanks for posting the question. Since there are two different questions, we have solved…

Q: When writing a proof of the segment addition postulate where AB = 18, substitution can be used to…

A: This is a basic segment addition question

Q: Write a proof in two-column form. A Given: BE = CD; BD = CE E D Prove: AABC is isosceles. B

A: to prove ABC is isosceles.

Q: With AABD = ACBE and A-D-E-C, does it necessarily follow that AAEB and ACDB are congruent? A D. AABD…

A: Given: ∆ABD≅∆CBE To show: Whether ∆AEB≅∆CDB or not?

Q: In Exercises 35 and 36, use Theorem 2.5.1 to solve the prob- lem. According to this theorem, the…

A: Definition used -                     Number of diagonals -                          D= n(n-3)2…

Q: Label the special right triangles with the correct "n" rules. 30 45 :: n : n/2 :: n/3 :: 2n

A: Solution:The special right triangles To label the correct n rules.

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 .

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: The net shown below represents a triangular prism. 18 in 6 in 8 in Which statements are true? Choose…

A: Mensuration Question

Q: 5. a. Show 3 ÷ using hexagons. (Hint: what shape is 1/6? How many of that shape fit in to 3…

A:

Q: Select the statement that is true about the figure O ACB5 O AB + BC CD O AB + BD AD O AC + BD- AD

A: Solve the line segments

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: A diagonal in a polygon is a line segment that is drawn from a vertex to a nonadjacent vertex. If n…

A: Polygon has n sides and therefore n vertices. So total possible lines we can make = nC2 Out of which…

Q: Answer the following questions. In order to say that ALEO corresponding parts are congruent. AVOE,…

A: 1)  Reflexive property in congruence of triangle  This implies that the sides will be congruent or…

Q: By subtracting (17) from (16), we get C (P− Q)[(A+B+C+1) −D] =0, Since (A+B+C+1) − D ‡0, then P = Q.…

A: We have been given: P=A+B+CQ+DP-be-d    16Q=A+B+CP+DQ-be-d    17 We have to explain: P-QA+B+C+1-D=0

Q: When three squares are joined at their vertices to form a nght triangle, the combined area of the…

A: Explanation:   Area of square=(side)2By Pythagorean theorem:(longest side)2=(side1)2+(side2)2 Check…

Q: Rectangle ABCD has diagonals AC and BDThe diagonals intersect at E. In order to prove that the…

A: Given: Rectangle ABCD has diagonals AC and BD. The diagonals intersect at E. To prove: AE is…

Q: ΔLMN, LN is extended through point N to point O, m∠NLM=(x−4)∘,  m∠MNO=(4x−17)∘,   and m∠LMN=(x+9)∘.…

A:

Q: What congruency postulate proves the triangles congruency? O SAS OASA OSS O AAS

A:

Q: . Use a two-column proof to prove the equivalence below -(PV-Q) v (-P A-Q) = ¬P

A:

Q: he figure shows the net of the three-dimensional package for a board game. The et is made of four…

A: Introduction: The most well-known and simplest formula, which almost everyone remembers from school,…

Q: A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the…

A:

Q: In (R, Tcoc), if A = {0, 1} then A' = %3D O {0, 1} O (0,1] OR-0,1] OR

A: Any complement of a countable set is open. That idea take us to the answer.

Q: Identify the axiom or postulate that applies to the following statement. If a = 7 cm and b =…

A:

Q: Which shows heptagon QRSTUVW rotated 225° counterclockwise around point K? R

A:

Q: A pentagonal pyramidal number P can be determined using the dot representations of pentagonal…

A:

Q: Given that AB =4x+8 and BC=2x+3, and AC is 77. What is "x"? Only use number answers. Use the segment…

A: Given, AB=4x+8, BC=2x+3 and AC=77 AB+BC=AC

Q: What is "One-quater of what number is 12

A: We have to find One-quater of what number is 12.

Q: 1. In the figure on the right, which postulate proves that ΔTIK ≅ ΔTOK?

A: Given,

Q: 31. Distance to Nassau. Miami, Florida, is located 178 mi N 73 ° 10 'W of Nassau. Because of an…

A: Miami (M) is located of Nassau (N). The ship (C) position is of Miami andof Nassau. Draw them as…

Q: Prove that the sum of the interior angles of a convex n-gon is (n-2)-180°. (A convex n-gon is a…

A:

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

A:

Q: In ANOP, NP is extended through point P to point Q, mZNOP= (3x + 8)°, MZPNO = (2x + 9)°, and mZOPQ =…

A: To find the value of x

Q: O is any point in the interior of rectangle ABCD prove that OB²+OD²= OC²+OA²

A: Here given that O is any point in the interior of rectangleABCD. We have to prove that…

Q: 2. O, rER-1? to be, Hn e N 1+/+--- +- 1-r Shoh that

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

Q: Find the distance between (6, -6) and (-1, 1). O 7 O 7/2 O V14 O 5/2

A: distance between point A(x1,y1) and B(x2,y2) is given as-- D = (x1-x2)2 + (y1-y2)2

Q: 7. Minh says that the rectangle on the left in Fig- ure 11.12 is larger than the one on the right,…

A: Given,According to Minh, red rectangle is larger. According to Sequoia, green rectangle is larger.

Q: Find the smallest positive and largest negativ should also be in degrees. An angle given in 2pi/3.…

A:

Q: 45.r > (рли) ~pv~ w rvs S

A: We have to construct a formal proof of the given arguments.

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: In AABC, D is a point on AB and E is a point on AC such that ED/ BC. If AD=6, BC=6, and DB is one…

A:

Q: Given the values: n= 20, xbar= 5, O y_hat = 3 + 2.4x O y_hat = 52 + 25x O y = Bo + B1x+ ɛ O y_hat =…

A: SSxy = 24 SSxx = 10 SSyy = 52 n = 20 xbar = 5 ybar = 15

Q: Show that for any neZ, n is either n= 4k n= 4ktI or n=Yk+2 n=4 K+3 or

A: Given below the detailed solution

Q: Prove by Mathematical Induction, for all integers n 2 3, that the sum of the interior angles of ar…

A:

Q: Prove that (AC) =C" A" 6.

A:

Q: 3) Given: MN||PO; LM = 20 Prove: MP||N0 M.

A:

Q: Which is the solution set of : 27" = 81" %3D O {0,-} O {-5,1} O { {,2} {0, } O 0 0 O

A: We have to find the solution set for the equation: 27n2=81n We have 27=3×3×3=33 and, 81=3×3×3×3=34…