A and b 1 Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median.a. If OS = 3x -2, PT = 2x + 10 and ER = 14, how long is each base?%3Db. If m ZP = 2x + 5 and m O = 3x - 10, what is m ZT?c. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long iseach leg?d. ER is 8.5 in long and one leg measures 9 in. What is its perimeter if one of the bases is3 in more than the other?

Draw the diagram and use the property of isosceles trapezoid.

1. Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS = 3x - 2, PT = 2x + 10 and ER = 14, how long is each base? %3D b. If m ZP = 2x + 5 and m O = 3x - 10, what is m ZT?

1. Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS = 3x - 2, PT = 2x + 10 and ER = 14, how long is each base? %3D b. If m ZP = 2x + 5 and m O = 3x - 10, what is m ZT?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...

See similar textbooks

Related questions

Q: 1 The area of a triangle can be found using the formula: Area · base · height 2 Find the area of the...

A: Given Base = 8 m Height = 12 m To find area of triangle:

Q: 12. What is the perimeter of the shape below? 8 in 2 in 2 in 5 in 7 in

Q: The quadrilateral RSTU is inscribed in the circle shown below. Jake wants to prove the theorem that ...

Q: Find the larger dimension of this rectangle. If a rectangle of maximum perimeter is to be inscibed i...

Q: What is the area of the figure below, provide answer to nearest hundredths place

A: Here we have to find the area of the figure below,

Q: In a circle with center A and radius AB, let P be a point on AB that is not an endpoint. Explain whe...

A: We have to find the location of point P

Q: 8. The figure shows two identical semi-circle in a square. The sq measures 24cm on each side. Find t...

A: As mentioned to solve question number 8. Kindly repost the other questions in the next part.Question...

Q: Find a relationship between the thickness of the toilet paper, the inner and outer radii of the roll...

A: Let t denotes the thickness of the paper and r is the inner radius and R is the outer radius of the ...

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 13, -21, 34,...

A: Given query is to find the next number is the sequence.

Q: Find the equation of the line in standard form that passes through the following points. Eliminate a...

A: To find the equation of the line in standard form that passes through the following points. To elim...

Q: Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C,...

Q: 6. Diagonal Lane crosses Maple Court and Oak Street, which are parallel as shown in the figure above...

Q: determine if AABC ADEF. Explain your reasoning. 1. Problems 11 to 14, tell whether you can use the g...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: A FOR ITEM NO. 1 30 60 В

A: This question is related to trigonometry.

Q: Given the following figure below. What can not be proven? 1. CX =DX root 3 2. CD is perpendicular ...

Q: 16, Given AD is parallel to EC and BD BC, prove A ABD A EBC E.

Q: The minimum size of a stop sign is a regular octagon measuring 30 inches across. Find the area of th...

A: Please see the below picture for detailed solution.

Q: Look at this right triangle. B. Which of the triangles below could be used to prove the Pythagorean ...

A: If a perpendicular draw from the vertex of the right angled triangle to the hypotenuse so as to divi...

Q: For the cross section shown, the letter D referred to the radius of the circle TRUE False

Q: 37. The vertices of a triangle are A(6,0), B(-1,4), and B(2,–3). What is the length of the altitude ...

Q: The length of the base of an isosceles triangle is x. The length of a leg is 5x - 3. The perimeter o...

A: topic- isosceles triangle

Q: 2. 9m

A: This question is based on mensuration.

Q: Solve each triangle. Round answers to the nearest tenth. A. 44 4. mLB=46°, a=3.2, c=5.8 O mLB=46°, a...

A: Given query is to solve the triangle.

Q: If m|CE =100°m|CA=110° and |CR is a diameter.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Given the similar hexagon-based prisms pictured below, if prism 2 has a surface area of 256 cm squar...

Q: Use he igure below to answer Questions 5-7. 5. On the figure above, sketch the image of quadrilatera...

Q: Choose one of the theorems about chords of a circle and state it using your own words. Create a prob...

Q: . Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius ...

Q: What is the area of the figure below, provide answer to nearest hundredths place 8.5 ft 8.5 ft Area:...

Q: ) find the eq. Plane that Contains the -=9+ 6 = 2 - X-y= 2-4 and Passes through origin? %3D 2×+5リ-7そ...

A: Equation of any plane passing through origin is ax+by+c=0 And follow step 2nd .

Q: In triangle FIX, TT'is the perpendicular bisector of FX. Prove that the two triangles formed by the ...

Q: FOR ITEM NO. 11 - 15 30 60 В

A: Topic = Triangle

Q: Given: AB 2 BC and D is the midpoint of AC. Prove: BD bisects ZABC.

Q: 10+ 어 -10 -8 -6 -4 -2 2 4 6 8 10 -6 -8- +10+ Write the standard equation for the hyperbola graphed a...

Q: A convex quadrilateral has 2 diagonals. A convex pentagon has 5 diagonals. If a convex polygon has 3...

A: To find the no. Of sides of a convex polygon with 324 sides.

Q: 2 Consider Circle O with diameter GB. Line AD is tangent to Circle O at point A and DB is tangent to...

Q: a rectangular parallelipiped whose length is 4m and 5m and the altitude is 6m.What is the are of the...

Q: 8 & 9

A: Topic = coordinates geometry

Q: E Fx=0 4P 122 - 20 = O 5 13 3P + 80 = 0 -(2) 5 13

A: 4P/5 -12Q/13 - 20 = 0 ............(1) 3P/5 -5Q/13 + 80 = 0 .............(2) multiply equati...

Q: 2. The coordinates of A, B, C and D are (1, 2, 3), (-1, 4, 4), (2, 1, 5) and (11, a, b) respectively...

Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O...

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

Q: Activity 1 a. Construct a kite using GRAPHING PAPER, Ruler, Protractor and a Pencil. b. Label the po...

Q: 1. Approach: Inductive Reasoning Pick a number: Multiply it by 9: Add 18 to the product: Divide by 3...

Q: 3. Given an equation of a circle, determine how to find a point on the circle. Determine how to find...

A: Let a circle centered at origin with radius r.

Q: 1. A trough has a triangular end sections and has sides equal to 45 cm. Find its length if the capac...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 13. -3y=15 and y=-3x+4 14. y=5and y =-1 Por For questions 15-18, write a linear equation given the p...

Q: Perform ALL necessary constructions to find the circumcenter of this triangle. Confirm that your wor...

Q: ate the distar point. S(10, -8, 10) to the plane 2x + 2y + z = 4 O 10 의 23 m 29

A: Given query is to find the distance between the plane and point.

Q: 2. Compute for the hypothetical total area and actual size of the sketch map above using the scale o...

A: Please find the solution

Q: C. Can you use the given information to determine that AB BC: Justify your answer. 1. LABDLCBD, AD= ...

A: To prove : AB¯≅BC¯

Question

A and b

1 Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median.
a. If OS = 3x -2, PT = 2x + 10 and ER = 14, how long is each base?
%3D
b. If m ZP = 2x + 5 and m O = 3x - 10, what is m ZT?
c. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long is
each leg?
d. ER is 8.5 in long and one leg measures 9 in. What is its perimeter if one of the bases is
3 in more than the other?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal area. In the figure, RST has median RV. a Explain why ARSV=ARVT. b If ARST=40.8cm2, find ARSV.
For exercises 34 and 35, EFis the median of trapezoid ABCD in the figure above. Suppose that EM=7.1andMF=3.5 Find: a AB b EF c DC d Whether EF=12(AB+DC)
The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the subdivided plots shown. aWhat are the overall dimensions of the rectangular enclosure shown? bWhat is the total area of the enclosure shown?
Generalize the results found in Exercise 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a number of vertices? b number of lateral edges? c number of base edges? d total of base of edges? e number of lateral faces? f number of bases? g total number of faces?
Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the median of a trapezoid is one-half the sum of the lengths of the two bases. Given: Trapezoid ABCD with median MN Prove: MN=12(AB+CD) 33. Use Theorem 5.6.1 and the drawing to complete the proof of this theorem: If a line is parallel to one side of a triangle and passes through the midpoint of a second side, then it will pass through the midpoint of the third side. Given: RST with M the midpoint of RS;MNST Prove: N is the midpoint of RT
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
A diagonal of a cube joins two vertices so that the remaining points of the diagonal lie in the interior of the cube. Show the diagonal of the cube having edges of length e is e3 units long.
CM is the median for ABC from vertex C to side AB. a Name two line segments that must be congruent. _ b Is 1 necessarily congruent to 2?_
Use Figure 5.19 to prove Theorem 5.4.2. Theorem 5.4.2 The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
This sheet metal section shown in Figure 5-5 has five sets of drilled holes: A, B, C, D, and E. The holes within a set are equally spaced in the horizontal direction. Compute the horizontal distance between two consecutive holes for each set. All dimensions are in inches. A=_B=_C=_D=_E=_
Use Figures 5.20 and 5.21 to prove Lemma 5.4.3. Lemma 5.4.3 The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?