Choose the correct option. Let ABCD is a square with sides of unit lenghts . Points E and F are taken on sides AB and AD respectively so that AE =AF . Let P be a point inside the square ABCD. Let a line passing throught point A divides the square ABCD into two parts so that area of one part is double to another , then lenght of the line segment inside the square is - (a)√10/3 (b)√13/3 (c)√11/3 (d)2/√3

Q: Let P=(−28.4,28), Q=(−24,x+4.29) and R=(−29.4−x,32) points in space. Check the alternative that…

A: The solution of above question is written in step2.

Q: 7.. In rectangle PQRS, PR = 18 x- 24 and QS = x + 146, find the value of x and the length of each…

A: Given,  Rectangle PQRS, where PR & QS are diagonals. PR = 18x- 24 & QS =  x + 146

Q: 34. Prove by the indirect method: "The length of a diagonal of a square is not equal in length to…

A: Prove by contradiction

Q: The pentagons JKLMN and PQRST are similar. Find the length x of QR. 6. 3.2 M K 4.8 3. 3.2 4.8 T. 3.…

A: Here, the pentagons are similar. Therefore, the ratios of the corresponding sides are same.

Q: 14 km 13 km 3 3 km

A:

Q: 2. Find the measure of AB if C is the midpoint of AB AC= 6x- 20, and CB = 4x -2. %3D

A: Here we are given measurement of two parts of a line . With the help of mid point , we will…

Q: 6. If BC = 2x-3 and AC = 2x+10, find the length of AB. %3D B. C

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: In the diagram of AUVW below, A is the midpoint of UV, B is the midpoint of UW, C is the midpoint of…

A: Here we have to calculate lenth of vc ,

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

A: Given: Quadrilateral WISH is a parallelogram. To find: If m∠W = x+15  and  m∠S = 2x+5 a)  m∠W = ?…

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

A:

Q: In rhombus R S T V RSTV, R S = 4 x − 2 RS=4x−2 and S T = 3 x + 3 ST=3x+3. Find the length of T V ‾…

A: The given dimensions of rhombus  RS=4x−2 ST=3x+3

Q: 13. AQRS is an equilateral triangle. If QR is seven less than twice x, RS is 61 less than five times…

A: Given that  ∆QRS is an equilateral triangle   QR is seven less than twice x. Hence,QR=2x-7RS is 61…

Q: 8. ABCD is a rectangle. AC-5x-14 and BD-4x+11, Find x-, 7. EFGH is a parallelogram, mzG- E (5x+ 20)…

A:

Q: 1. Given: Quadrilateral BEAD is a parallelogram. a. If the mzB-x+ 25 and mzA 2x +15, what is the…

A:

Q: A piece of rectangular sheet metal is 24 inches wide. It is to be made into a drain gutter by…

A: We have to find the value of x that gives greatest capacity.

Q: Q1.In the triangle ABC, where m4(BAC)=2,AF=12, EB=14, where E, F are points between A,B and A,C…

A: It is given that: In the triangle ABC, m∠BAC=2, AF=12, EB=14, FE¯∥CB¯ Where E, F are points between…

Q: M and N are the midpoints of sides RS and RT of ARST, respectively. M. R MN = x2 + 7 x(2x + 7)…

A:

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 thạt m/PTS = 34° and QS = 10 , find RT. P 34°…

A: Diagonals of a rectangle are congruent  (same length). Here QS and RT are diagonals of the…

Q: 13. Subtract -5x2 + 3x + 4 from 10x2 + 4x – 10. a. -5x2 + 7x - 6 b. -5x2 – 7x + 14 C. -15x² – x + 14…

A:

Q: The base of a three-dimensional figure is bound by the line x = y + 4 in the fourth quadrant.…

A:

Q: Prove by the indirect method: “The length of a diagonal of a square is not equal in length to the…

A: Introduction: There are some basic methods that are used to prove any mathematical statement. These…

Q: In AQRS, QS is extended through point S to point T, mZQRS = (x + 8)°, mZRST = (4x + 11)°, and mZSQR=…

A: In ∆QRS:∠QRS + ∠QSR + ∠SQR = 180°.....................................EQ.1And ∠QSR + ∠RST = 180°∠QSR…

Q: Let ABCD is a square with sides of unit lenghts. Points E and Fare taken on sides AB and AD…

A: Let ABCD is a square with sides of unit lengths. Points E and F are taken on sides AB and AD…

Q: J(5. -1), K(8, 2). L(11, 10), M(8, 7)

A:

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If W X = 26 –…

A:

Q: 2 In parallelogram ABCD, the diagonals intersect at point E. BE= x and ED= x – 10 3" What is the…

A: in given parallelogram ABCD, the diagonals intersect at point E where BE=(2/3)x and ED=(x-10) we…

Q: Quadrilateral ABCD quadrilateral HJKL. If AB = 5, ~ ВС 3 п, НJ J 10, and JK = n + 3, find n.

A: Consider the given Quadrilateral: According to similar rule: The ratio of corresponding sides of the…

Q: Draw rectangle JKLM. If diagonal JL = 3x + 4 and diagonal KM = 4x -1, find the value for x and find…

A: Solve

Q: 15. AWXY is an isosceles triangle with WX = WY. If WX is 3 more than four times x, XY is 7 less than…

A:

Q: In parallelogram ABCD, point o 1s intersection of diagonals AC and 15 and AB=6, Pind sum BD. If the…

A: We know that diagonals of a parallelogram bisects each other. So we can say that OD = OB and OA=…

Q: 1. In square MISA, the diagonals intersect at P. If MLMPA = (2s + 3t)°, M¿ISP = (4r +s)° and M2MIS =…

A: Diagonals of square bisect each other at 90°.

Q: Which statement can be used to show that quadrilateral XYZE Y N [A] XW=WZ and XY = YZ [B] Nis the m

A:

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

A: Given: m∠PTS=34° QS=10

Q: What is the length of FH? In rectangle FGHI, diagonals FH and GI intersect at E. IE = 3x + 4 %3D EG…

A:

Q: Quadrilateral ABCD quadrilateral HJKL. If mZA = x, mZJ = x + 50, mZD = xr + 35, and mZK = 2x – 45,…

A: Given: ABCD~HJKL∠A=x,∠J=x+50,∠D=x+35  and ∠K=2x-45

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

A:

Q: 1-A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A: As per the bartleby guidelines for more than one question only one has to be solved ,please upload…

Q: A wire witn Length L iis cut two parts o Each partis into bent to form a square.6the areas of the…

A:

Q: In the right triangle ABC, AB=2, BC=4, and ED is a line parallel to AB. Find the angle BAD which…

A: The triangle ABC is as follows

Q: A farmer wants to increase the triangular area he has fenced off for his cattle to graze into a…

A:

Q: The beach communities of San Clemente and Long Beach are 41 miles apart, along a fairly straight…

A: Solution: Consider the given figure and LS = 41 miles ∠S = 47.2°∠L = 66.4° Since we know that the…

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

A:

Q: 15. AWXY is an isosceles triangle with WX WY. If WX is 3 more than four times x, XY is 7 less than…

A: Given: WX¯≅WY¯ Solution: Now, WX is 3 more than four times x and WY is 66 less than seven times x.…

Q: 10) Find mzEGF 102.x F 50x + 2 E G Find the perimeter of each polygon. Assume that lines which…

A: As per bartleby guidelines, for more than one question asked, only one is to be answered, kindly…