A) graph the system of inequalities representing the contraints b)find the value of the objetive function at each corner of the graphed region c)use the values in part b to determine the maximum value of the objetive function and the values of x and y at which the maximum occurs

Q: 4. The sides of a triangular lot are 130 m, 180 m, and 190 m. The lot is to be divided by a line…

A: Cosine law

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: 1. Given: Quadrilateral WISH is a parallelogram. a. If mZW = x + 15 and mLS = 2x + 5, what is mzW?…

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

Q: Consider a radix 3 (possibly non-linear) code C of length n = 5 and minimum distance d(C) = 5. What…

A: In sphere packing bound, the code length is is 1 greater than the value of C.  i.e. Covering radius…

Q: Describe a method for determining whether four points P, Q , R , and S lie in the same plane?

A: We will show a method for determining whether four points P,Q,R and S lie in the same plane.

Q: 3. a) Identify each quadrilateral as specifically as possible.

A:

Q: 12. The perimeter of a parallelogram is 34 cm. if a diagonal is 1 cm less than its length and 8 cm…

A: 12. Given that P=34cm d=L-1=W+8 Find the dimensions of the parallelogram 13. Measures of a cross…

Q: a) Are any two quadrilaterals similar? b) Are any two squares similar?

A: Similar figures are figures with same shape but size may not be necessarily same.

Q: 5. In the general quadrilateral ABCD of area 96 m²., the sum of the lengths of the two opposite…

A:

Q: Given 3 non-collinear points, A, B, and C, describe how to find a point, O, that is equidistant from…

A: Let A,B and C be three non-collinear points, mark point A, B,C anywhere  Then Join AB and BC Draw…

Q: II. Use coordinate geometry to prove that the diagonals of a rectangle. congruent. are

A:

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 31+2j-7k and…

A: Given A→=i-13j+4k,  B→=3i+2j-7k and C→=i-2j+2k

Q: 5. A square has side length 9 in. What is the length of the longest line segment that can be drawn…

A: Given,  Side length of the square = 9 inches.  We need to determine the length of the longest line…

Q: If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

A: Query- If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

Q: Q: A mathkematical gardener wishes to landscape an equi lateral trimngular Plot of land with…

A:

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

A:

Q: 2. Show that the points A(2,2,2), B(2,0,1), C(4, 1, – 1) and D(4, 3,0) are coplanar and that they…

A: The solution are next step

Q: Derive the system of equation needed for find the four-point Gauss- Legendre quadrature rule.

A:

Q: 1. Given: Quadrilateral WISH is a parallelogram. a. If mzW = x + 15 and mzS = 2x + 5, what is mzW?…

A:

Q: If x, y, and z are lengths of the edges of a rectangular box, the common length of the box's…

A: Length of rectangular box =x Breadth of rectangular box =y Height of rectangular box =z

Q: Classify a quadrilateral as precisely as possible given four vertices: C(4, 8), D(9, 8) , E(9, 6) ,…

A:

Q: Prove that the sum of the squares of the lengths of the sides of a parallelogram is equal to the sum…

A: Let the sides of the parallelogram be 'l' with longest and 'b' with shortest parallel lines and…

Q: At the center of the lobby of a hotel is an artificial pond in the shape of an octagon serving as an…

A: Given:

Q: The diagonal of a parallelogram divides it into two congruent triangles. True False

A: Given statement is true, The diagonal of a parallelogram divides it into two congruent triangles.…

Q: State, without proof, the SASSS Congruence Theorem in terms of convex quadrilaterals ◊ABCD and…

A: Here, we need to state SASSS Congruence Theorem in terms of convex quadrilaterals ◊ABCD and ◊XYZW.…

Q: 7. Which characteristics will NOT prove that quadrilateral PQRS, drawn in a coordinate plane, is a…

A: Given, Parallelogram PQRS Solution :D  In option D we have given the only  length are equal which…

Q: ___ lines are coplanar lines that do not meet. a. Intersecting b. Parallelc. Concurrentb. Skew

A: we know that parallel lines are coplanar lines that do not meet

Q: 2 Prove that a quadrilateral with the vertices A(-2,3), B(2,6), C(7,6) and D(3,3) is a rhombus. IB

A:

Q: 5. Find the dimension of the largest rectangular building that can be placed on a right-triangular…

A:

Q: Three noncollinear points determine three lines, as was shown in Figure 9.2. (a) How many lines are…

A: Given- Four points, five points and n-points. To find- The number of lines formed by above points.…

Q: 7. The diagonals of Parallelogram ABCD intersect at point X, the mAX is 152.

A:

Q: (b) For which quadrilaterals do the diagonals bisect each other and have the same length?

A: Quadrilateral: A quadrilateral is a shape with four sides. Examples of quadrilateral are: Square,…

Q: Prove that the diagonals of any parallelogram bisect each other. (Hint: Label three of the vertices…

A: Given:- ABCD is a parallelogramTo prove:-AO=CO                 DO=BOProof:-In ∆AOD and ∆COB∡OAD=∡OCB…

Q: 3. Given a line and a plane in three dimensional space, what are all the possible ways they can…

A: The Answer is given below in a picture(handwritten) format.

Q: The diagonal of a parallelogram divides it into two congruent triangles.

A:

Q: A quadrilateral has the vertices D (-4, -1), E (0, -4), F (6.0) and G (0.4). Verify for each pair of…

A:

Q: Each set of two-dimensional shapes is the complete list of faces from a particular solid. Match each…

A: 3-D Shapes with faces

Q: Of several line segments, AB > CD (the length of segment AB is greater than that of segment CD), CD…

A: Given: AB>CD, CD>EF, EF>GH, & GH>IJ To determine: The conclusion that the Transitive…

Q: a. A wheelchair ramp with a length of 122 inches has a horizontal distance of120 inches. What is the…

A: Consider x is the vertical distance, and horizontal distance is given 120 inches. and the ramp with…

Q: 6. How many positions can a lightning rod erected at a point occupy with- out being vertical? How…

A: Introduction: Lightning rod is a system that intercepts the atmospheric electric discharge and…

Q: Name the intersection of planes M and N.

A:

Q: Given P (θ), find the coordinates of its terminal point. 1. -600° 2. 10π/3

A: General way of solving these question is, draw a traingle with the given angle, like shown below -…

Q: Each quadrilateral represents a newly planted garden. The garden represented by quadrilateral EFGH…

A:

Q: 5. Use the slopes of the slanted sides of AABC to find the exact coordinates of the inscribed square…

A:

Q: Consider the triangular region in the plane given by the triangle (1, 6), (6, -1), and (1, -4).…

A: See attached file for a step by step explanation.

Q: Find two values of k such that the points (-3, 4), (0, k), and (k, 10) arecollinear.

A: To Find: Two values of k such that the points -3,4, 0,k and k,10 are collinear. Concept: Slope…

Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: Consider the tetrahedron  ABCD and let two pairs of opposite sides are perpendicular. Consider the…