If x, y, and z are lengths of the edges of a rectangular box, the common length of the box's diagonals is s=

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: 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: The diagonals of square ABCD intersect at point E. If BE = 2x +1, and AC = 3(6x - 4), find BD. O 1 O…

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Q: Given that P l2 and PAP = D, compute A". %3D %3D

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Q: given the points M(-3, -4) and T(5, 0), find the coordinates of the point Q on the directed line…

A: according to given problem Ratio given 1:3 We will use here section formula which states that: If…

Q: 29. If ET = 28, DE = 62, and DC = 71, find the perimeter of ADĆE. E T S D R C

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Q: Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5, 0), and F (1, -3).…

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Q: suppose that S = [a, b] x {0} is a closed line segment %3D in R?. Show that H' (S) = b a.

A: Here given as S=a, b×0 is a closed line segment in ℝ2. We have to prove that H1S=b-a

Q: If the endpoints of MN have coordinates of M(2,7) and N(-3,1), then the length of MN is closest to…

A: Given that the line MN has endpoints M(2,7) and N(-3,1) then we have to find length of line MN…

Q: Given the directed line segment ,  Find the coordinates of P, such that P is the point partitioning…

A: Topic = Coordinate geometry

Q: given the points M (-3, -4) and T (5, 0), find the coordinates of the points Q on directed line…

A: The given points  M(-3,-4).   And N(5,0) Ratio m:n =2:3

Q: In AXYZ, m₂X = 27° and m2Y = 48°. Which gives the sides of the triangle in order from shortest to…

A: Given query is to find the side lengths order.

Q: Find the perimeter of ADEF wit vertices D(3, 2), E(4, 2), and F(3,-2). 61 4- 3. 2 6-5-4-3 -1 1 234…

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Q: The base of a straight prism is a rhombus with a - diagonal of 3 cm and 4 cm and a diagonal of the…

A: According to the guideline we should have been able to solve only one question at a time  #7 as per…

Q: The diagonals of rectangle QRST intersect at P . Given that mZPTS = 34° and QS = 10 , find MZQRT . R…

A: From the given figure:   From the concept of the alternative interior angles:   ∠PTS=∠QRT.

Q: In the trapezoid TXYZ, TX = 5ZY. If the diagonals meet at 0, find an expression for TO in terms of…

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Q: perpendicular to AB, and in traingle XYZ, lines ZW is perpendicular to XY.      If AB = XY and CD =…

A: Given query is to find the correct option for the triangle.

Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

A: Explained below

Q: Find, to the nearest degree, the angles that a diagonal of a box with dimensions 10 cm by 15 cm by…

A: Given: A diagonal of a box with dimensions 10 cm by 15 cm by 25 cm makes with the edges of the box.…

Q: In rectangle ABCD, the diagonals intersect at E. If m ∠ ∠AED= y + 10 y+10 , and m ∠ ∠AEB= 4 y − 30…

A: Given in rectangle ABCD, the diagonals intersect at E. Also, given that: m∠AED=y+10, m∠AEB=4y-30 To…

Q: If the area of a square is 2 in.2, then find the length of the square’s diagonal, d

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Q: The diagonals of rectangle QRST intersect at P. Given that m/PTS = 34° and QS = 10 , find QP. 34°

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

Q: Evaluate ry dr + r'dy, where C is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)

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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: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: The triangle that has vertices at M(-4, 0), N(3, –1), and Q(2, 4) has been boxed in, as shown. Find…

A: Given the vertices of  the triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of…

Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

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Q: .In AWXY, if ZX = ZY , WX = 9x – 11, XY = 4x + 1, and WY = 7x- 3, find x and the each side. measure…

A: Given that <X = <Y , so the opposite sides of them are equal.  WX=WY Or, 9x-11=7x-3 Or,…

Q: 4. If AB = AD = y +5, BC = y, and CD =+ 3, find the perimeter of ABCD. %3D

A: 4. The figure with AB = AD = y+5, BC = y and CD = y2+3 is given by To evaluate : The perimeter of…

Q: In AYZX, the midpoints of ZX and YX are M and N, respectively. The intersection of YM and ZN is G.…

A: M and N are the mid points of the side ZX¯ and YX¯, respectively. The measure of side YG is 22.

Q: Evaluate O ry*da + x°dy, where C is the rectangle with vertices (0,0), (1,0), (1,5), and (0,5)

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Q: Find the stundand matices * and a for ToT,OT and て:→ド,1)- (-3y, fn + 3) T:→ド, 1.(4)): (J,)

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Q: If (x, y) is a point on the unit circle and t is the distance from (1, 0) to the point alongthe…

A: If (x, y) is a point on the unit circle and t is the distance from (1, 0) to the point along the…

Q: The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and QS = 10 , find QP . %3D R…

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Q: If DE = x + y, EC = 12, CK = 2x - y, and KD = 3x – 2 y, then %3D y = _ and the perimeter of ODECK =…

A: Here we have given a parallelogram.

Q: The diagonals of rectangle QRST intersect at P . Given that mZPTS = 34° and QS = 10 , find RP. %3D R…

A: Diagonals of a rectangle are congruent and bisect each other.

Q: fig. 1

A: Given: Region of solution is the shaded area between the two lines excluding the dotted line and…

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: 28. Find the volume of the parallelepiped having edges PQ, PR, and PS if the points P, Q. R, and S…

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Q: E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area…

A: In triangle ABC, using pythagorus theorem - c2 = a2+b2            .............(1)Semicircle on…

Q: If EFGH is a parallelogram whose diagonals meet at point X, then EX = XG and FX = XH . OTrue O False

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Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on a directed line segment…

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Q: If |(3d + b) x (a+ b)| = 24, then the area of the parallelogram determined by ā and b is O A. 4 о в.…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Prove that if the ratio of corresponding sides of two similar triangles is k, then the ratio of the…

A: It is needed to prove that if the ratio of corresponding sides of two similar triangles is k, then…

Q: Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment…

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Q: If segment WY bisects segment UV at Y, UY = 2x + 1, and YV = x + 7, find UV.

A: Given WY bisects UV at Y        UY=2x+1       YV=x+7As UV is bisected at Y , therefore UY=YVand…

Q: In triangle ABC, line t is drawn through vertex A in such a way that t || BC. a) Which pairs of Zs…

A: a) Consider the given triangle ABC, The alternate angles can be defined as the angles that are in…

Q: Give the diagonal points of quadrangle HILM. A B

A: I am going to solve the given problem by using some simple geometry to get the desired result of the…

Q: Find the length of segment LM for the given parallelogram below. x+13 2x +4

A: Given that       LMNK be a parallelogram. LM = 2x+4  and NK= x+13 Here we have to find the length of…