9. Given: Trapezoid ABCD with AB || DC;M and N are midpoints;AB = 6x + 5 and DC = 8x – 1MFind: MN, in terms of x

Answered: Image /qna-images/answer/d4a1ec85-6fe1-4d28-85f7-0681ffb01eb0.jpg

Answered: 9. Given: Trapezoid ABCD with AB I DC;…

Math

Geometry

9. Given: Trapezoid ABCD with AB I DC; M and N are midpoints; AB = 6x + 5 and DC = 8x – 1 Find: MN, in terms of x

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 11CR: Given: Isosceles trapezoid ABCD Equilateral FBC Right AED BC = 12, AB = 5, and ED = 16 Find: a AEAFD...

See similar textbooks

Related questions

Q: Given: Isosceles trapezoid АВCD Equilateral AFBC Right ΔΑED ВС 3D 12, АВ 3 5, B and ED = 16 Find: а)…

A: As ABCD is an isosceles trapezoid. Therefore, the length of AB and CD will be same. CD=5 Triangle…

Q: 1+ 1 А 3. Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the…

Q: Given trapezoid WXYZ, what is XY? Y D 27 ft W XY- XY= (Simplify your answer.)

Q: Find the midsegment of the given trapezoid 1. 12m Y MA 18m MN =, TS = 26yd R.

A: topic - mid segment of trapezoid

Q: In isosceles trapezoid JKLM, JK = 7x -8, JM = 4x +7, and ML = 5x + 2. What is the length of JM? A. 5…

A: Given that: JK=7x-8, JM=4x+7 and ML=5x+2 An isosceles trapezoid JKLM, In isosceles…

Q: M R. Use a coordinate proof to prove that midsegment MN of APQR is parallel to PR and half the…

A: option D: Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the…

Q: For #35 to #37; Given: Trapezoid ABCD with median FC where AD= 5x, BG= 3x, AB= 4 cm., DC= ocm A В F…

A: (35) As F is the midpoint of AD, we have FD=12AD=125x=2.5x So (c) is the correct option.

Q: In the diagram of trapezoid ABCD below, АВ || DC, AD ВС, mZA %3D 4x + 20, and mZC = 3x – 15. B (4x +…

Q: In isosceles trapezoid WXYZ, XP = 5 in., YZ = 12 in., XZ 1 WX, and WY 1 YZ Find WZ. P. W

A: Given, XP=5YZ=12

Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

Q: Evaluate the double integral 1+ 4x² + 43²&A where D is the bottom half of the circle x? + y? = 16.…

A: In polar coordinates, and

Q: For 5 - 10, use isosceles trapezoid JKLM to answer true or false. 5. KL = JM K 5. . 6. KM = LJ 7.…

Q: is a trapezium such that 4A BCD DC=3AB. 1f L ond M are the mid points AD and B C respectively, Shaw…

A: It is given that ABCD is Trapezium. such that DC=3AB, If L and M are The mid points of AD and BC…

Q: 7. ARTP is an isosceles trapezoid with Ri = PT. Find w, x, and y. O 30 T

Q: Determine the length of the diagonals of the isosceles trapezoid below when KL = h +7 and UE =…

Q: Why is WXYZ a rhombus? * O The length of each side is 6. O The length of each side is 7.1. O The…

A: To prove- WXYZ is a rhombus.

Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

Q: - TT V(s) ³3² В where s denotes the length of the edge of the cube. Find ß. = $3

A: Given Vs=β-πβs3

Q: The diagram below shows isosceles trapezoid ABCD with AB || DC and AD = BC. If m/BAD = 2x and m/BCD…

Q: In the rhombus, 15x, mL2 x + y, and mZ3 = 30z. Find the value of each variat m21 %3D scale. 1

Q: To find the points on the cone z? = x² + y² that are closest to the point (5,2,0) , we need to solve…

A: Given z2=x2+y2 let the P (5,2,0) and P (x,y,z) so, d = x-52+y-22+z-02 d=x-52+y-22+z2d=…

Q: (c) below by cone z=Vx² + y?, and inside sphere x + y² + z? = 4z. (d) above by sphere x² + y + z? =…

Q: Find the mZR in trapezoid QRST where QT||RS below.

Q: MQ = Z = WZ. If MN NP PQ For the quadrilaterals shown, wX MN = 7, WX = 3, and PQ XY = 6, find YZ. N…

A: We are given MN = 7; WX = 3; PQ = 6.The sides are in the ratio MNWX=NPXY=PQYZ=MQWZ.We need to find…

Q: D. Exercises 6, 7 Given: Trapezoid ABCD, with AB 6 and BC = 8. AB = CD Find: AABCD if: a) mZA = 45°…

A: The area of the trapezoid is found using the equation AABCD=12hb1+b2 where b1 and b2 are the base…

Q: Given AACE, B is the midpoint of AC and D is the midpoint of EC. C 1. BD |. 2. mz1 = 48, what is…

Q: Given: Isosceles trapezoid MNPQ with QP = 12 and mZM = 120°; the bisectors of Zs MQP and NPQ meet at…

A: use the isosceles trapezoid property so, MQ=NP∠MQP=∠NPQ∠QMN=∠PNT

Q: Given the following trapezoid, determine the value of y. 4x 1 - 60 6х + 11 у -1 93 0.95 O 80 O 90

Q: Consider an isosceles trapezoid ABCD with AB || CD. Suppose that mZA = 135° and m2C = 45°. Find m<D.…

A: According to our policy, when multiple questions are asked we only solve the first question. sorry…

Q: 4. In the given circle 0, OC 1 AB. If AD = (4x + 9) cm and (Sx+2) cm. What is AB? BD = Solution and…

A: Topic:- circle peroprties

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: Find the length of the spiral r = O for 0 < 0 < 4. %3D Answer :

A: Given : Polar function for a spiral r = θ and interval 0≤θ≤4 To find : Length of the spiral for…

Q: Given isosceles trapezoid PAGE. G T B. If PE = 3x - 5, AG x+ 7 and TD 26, find 1. X= 2. AG 3. PE= E.…

A: Topic =Geometry

Q: YZ is the base of an isosceles triangle; XA || YZ Z1 = 2 Given: Prove: A 2

A: Given: YZ is the base of an isosceles triangle XYZ. YZ is parallel to XA as shown in the given…

Q: Given that HIJK is a trapezoid and L and M are midpoints on each side. H. 21. Find the length of LM…

Q: Describe the difference between the Saccheri and Lambert quadrilaterals. T T T T Paragranh Arial Y 3…

A: Solution is given below:

Q: 4. Identify the following: Trapezoid CARE is an isosceles trapezoid. a. Bases: b. Parallel segments:…

A: 4) Parallel sides of trapezium are called as bases of trapezium . Therefore, a) Bases are AR and CE.…

Q: 2. Find the area of the rhombus. dl = (6x + 4) cm d2 = (10x + 10) cm a. (200x³) cm² b. (30x? +50x +…

A: There is given a rhombus which diagonals are (6x+4) cm and (10x+10). We have to find the area of…

Q: C Answer the following: Given ABCD is an isosceles trapezoid with midline EF and diagonals AC and…

A: ABCD is an isosceles trapezoid with midline EF and diagonals AC and BD

Q: Find the equation of the sphere of radius 5 centered at (4, 7, 8). O (x – 4)? + (y – 7)2 + (z – 8)²…

A: Given that the radius of the sphere is r=5 and centers is at x1,y1,z1=4,7,8. We have to find the…

Q: WXYZ is an isosceles trapezoid with bases WZ and XY and midsegment MN. Use the given information to…

A: Given WXYZ is a isosceles trapezoid with MN= 2x+1 XY=8 WZ=3x-3

Q: . Given isosceles trapezoid ABCD, with AD | BC and AB DC. If m/BCD = 63, find m/BAD. 2 22 on ED…

A: Topic = Trapezium As per guidelines, At a time only one question can be answered out of different…

Q: Sketch the solid described by the given inequalities. Oses n/2, r szs4

A: We have given that 0≤θ≤π2 & r≤z≤4

Q: A 4. Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 6y- 6, BC = 4y – 7, and CD =…

A: topic - quadrilaterals

Q: Show that LM = 2AB.

Q: What is the radius of the given contour C : |z + 2i| = 7+ 4, 0 < 0 s 2n ?

Q: WXYZ is an isosceles trapezoid with bases WZ and XY and midsegment MN. Use the given information to…

A: Tarpezoid mid segment theorem Theorem: The midsegment of a trapezoid is half the lengths of the two…

Q: 5. A 7 ft 6. 4 ft 3V5 B C 13 ft- Trapezoid ABCD with AB = DC 2x 7. 8. 12-V11 13 13 20 cm 16 cm V11 A…

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: If JKLM is an isosceles trapezoid, and KP = 9 and PM = 9, what is JL?

A: In the given isosceles trapezoid JKLM, KP=9 and PM=9

Q: Given that EF is the midsegment of trapezoid ABCD, what is AB? A В E F 9.2 cm D 12.6 cm АВ -6.7 сm…

A: Given : EF = 9.2 DC = 12.6 To find : The…

Question

9. Given: Trapezoid ABCD with AB || DC;M and N are midpoints;
AB = 6x + 5 and DC = 8x – 1
M
Find: MN, in terms of x

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

For Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, Q of the sides. Does a QN=12(RS+VT)?. b MP=12(RV+ST)?. Exercises 9, 10
If MNPQ is a rhombus, which formula from this section should be used to calculate its area? Exercise 46
Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to one or more planes?
Given: AM=3x1 MB=4x5 M is the midpoint of AB Find: AB
Given that mAC:mBC:mAB=4:3:2 in circle O: a Which arc is largest? b Which chord is longest?
Use the result of Exercise 13 to do the following problem. In MNPQ, QP=12 and QM=9. The length of altitude QR to side MN is 6. Find the length of altitude QS from Q to PN.
In the drawing, ABDCEF with transversals l and m. If D and C are the midpoints of AE and BF, respectively, then is trapezoid ABCD similar to trapezoid DCFE?
Given: Isosceles trapezoid ABCD Equilateral FBC Right AED BC = 12, AB = 5, and ED = 16 Find: a AEAFD b PEAFD
In Exercises 11 to 14, assume that X, Y, and Z are midpoints of the sides of RST. If XY=6, YZ=8, and XZ=10, find: a RS b ST C RT
In trapezoid WXYZ with bases ZY and WX, ZY = 12, YX = 10, WZ = 17, and ZD = 8. Find the length of base WX. Exercises 19, 20
Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?