Let A and B be congruent nonintersecting cubes, with B a translated copy of A. What is the most faces conv(A U B) can have? What is the fewest?

Q: 4. ABCD is a rectangle. If the diagonals intersect at N and ZANB %3D 104°, find ZBDA and ZBAC.

A: Solving the problem by finding the values of the given angles.   NOTE :: As per our Expert…

Q: Use the tabular method to to prove the following in general 1. (ANB) C (AUB) 2. ΑΔΒ = ΒΔΑ.

A:

Q: Find the degree measures of ZKOJ and ZLOK given LKOJ = LLOM such that M2KOJ = 6x - 20, MLLOK = 3x…

A: We have to find the angles KOJ and angle LOK.

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: Given: ZABD # LDBC Prove: BD does not bisect ZABC A B

A: Given: Assume BD→ bisect ∠ABC Hence, m∠ABD=m∠DBC

Q: o Pind P, (a) Pz lal by legendre Polynomicd

A:

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

A: Given:

Q: AB is a 1 bisector of CD.

A:

Q: Which set(s) of tiles could be used to make a perfect square?

A: We have to choose

Q: 2. Do this on paper and submit 8. Write a complete proof for the following. (9 steps) Prove: mAD=mAC…

A:

Q: 11. An open-top box is to be made by cutting small congruent squares from the corners of a 12" by…

A: Let, the square cut from the corners are h×h inches. Now, the open box will have the height h, the…

Q: In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into…

A: we have a given rectangle PQRS  Rectangle has following properties  1)opposite sides are parallel…

Q: Let X+5x+4. Examine whether the given polynomidl is irreduable over the QUI, ZCXJ, CIX).

A:

Q: GIVEN: AABC is not isosceles, XADB = PROVE: AADC is not isosceles. XCDB. A

A: Given that ABC is not an isosceles triangle. To prove that ADC is not isosceles. Suppose ADC is an…

Q: Stefan was able to map AABD onto AABC. D A

A: Given, ∆ABD  and ∆ABC     We have to find whether we can map  ∆ABD  onto ∆ABC

Q: Every polyhedron contains faces, edges, and vertices. O True O False

A: Polyhedron is a three dimensional solid with straight edges and flate sides. The edges of the…

Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

A:

Q: 6. Which triangles can be proven congruent using the AAS Congruence Postulate? H M 23

A: AAS postulate÷ If two angles and non included side of one triangle is equal to the two angles and…

Q: APDX = ADPA because of A P.

A:

Q: Given: ZBFG = ZBFE, BF bisects ZAFD, ZGAF = ZEDF A Prove: AGAF . AEDF G F

A: Consider the given conditions. Given, ∠BFG≅∠BFE12∠BFG≅12∠BFE∠AFG≅∠DFE          BF is angle bisector…

Q: what are the possible dimensions of their largest rug?

A: The length of the smaller rug = l = 3 feetThe breadth of of the smaller rectangle = b = 2 feetLet…

Q: Given: AC bisects ZA and ZC Prove: AABC = AADC в B as

A: We use ASA rule to prove that given triangles are congruent. ASA states that If two angles and the…

Q: Determine whether the 2 triangles are congruent by the HL method. If so, complete the congruence…

A: Congruence of triangle : The two triangle is said to be congruent if the corresponding sides of the…

Q: Let Q be a regular tetrahedron and p a point outside Q. What is the greatest number of faces conv(Q…

A: To determine the number of faces in the convex hull spanned by Q and p (p not in Q) under various…

Q: If squares are erected externally on the sides of a parallelogram then their centers are the…

A:

Q: 63. Prove that the rectangle with the largest possible areagiven a fixed perimeter P is always a…

A: Let the length and breadth  of rectangles be x and y units…

Q: IFA and B have 6 and 9 elements each, what is the minimum number of elements Aunion B?*

A:

Q: congruent. 22 Prove, in paragraph form, that one diagonal of a kite divides it into two congruent…

A:

Q: If A and B is a symmeyric, proof that AB-BA is a skew symmetric?

A: We know that a symmetric matrix is a square matrix that is equal to its transpose and a…

Q: Show that if n e Z is a perfect square such that 3|n, then 9|n.

A:

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

A:

Q: 2. Show that if x and y are perfect squares (that is, x = m? and y = n2, where m and n are…

A:

Q: Use algebra to prove | (ka, kb)| = |k| • | (a, b)|.

A: To prove: |(ka , kb)| = |k|.|(a , b)| L.H.S  = (ka , kb)            = k(a, b)                  . .…

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

A:

Q: Given two red rooks and t ue rooks, find the number of distintt woys in which the nooks Can be…

A: it is given that there are two red and two blue books. And there is a board that has, n×n cells.…

Q: What information could not be used to prove the congruence of the triangles using the SAS Congruence…

A: in given triangle  AC=DFAB=DEm∠A=m∠DTherefore△ABC≅△DEF

Q: 9-- 3 1 Prove that A abcd bcd a

A: The solution is given as

Q: How many symmetries does a regular n-gon have? (This means an n-sided polygon, all of whose sides…

A: We find number of symmetries of triangle, square, pentagon.

Q: Complete the non-inductive proof that the Euler Characteristic of a polyhedron is 2.

A:

Q: 5. If AB bisects ZCAF, and mZEAF = 66°, then the MZBAF =

A: Given,          AB¯ bisects ∠CAF , and ∠EAF=66°

Q: In the figure below, mZJKM = 87°, ZLKM 50°, and KN bisects 2LKM. Find m ZJKN. %3D %3D

A: Given,           m∠JKM=87∘ and m∠LKM=50∘ and KN bisects ∠LKM.

Q: Show that if n eZ is a perfect square such that 3 n, then 9|n.

A: We will prove the given statement.

Q: ARHS AUHP because of S. P.

A: Complete the statement of congruency.

Q: 18. Determine the area of the quadrilateral whose vertices are (-10, -10), (4, -24), (10, 10) and…

A:

Q: 11. Square ABCD with verlices 4-1, 3), B(O, 6), q3, 5), and D(2, 2): yx A B. D:

A: We have to find the reflection

Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

Q: Does plane N contain any points not on AB?

A: From the given diagram Point A and B are on the plane N and also on the line AB. Point C ,A and D…

Q: APDX ADPA because of A

A: Follow next step

Q: In a AARG. if ZA = 72° and ZB = 63°, find ZC. 45 %3D

A: In a triangle the sum of angles of triangle is 180° Therefore  ∠A+∠B+∠C=180° substitute the value of…