A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
12th Edition
ISBN: 9780133865479
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 12.2B, Problem 23A
To determine
To find:
The Minimum conditions to determine two rhombus are congruent
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
For number 9
The answer is A
Could you show me how
The answer is B,
Could you please show the steps to obtain the answer
2. Suppose that U(x, y, z) = x² + y²+ z² represents the temperature of a 3-dimensional solid object
at any point (x, y, z). Then
F(x, y, z) = -KVU (x, y, z)
represents the heat flow at (x, y, z) where K > 0 is called the conductivity constant and the
negative sign indicates that the heat moves from higher temperature region into lower temperature
region. Answer the following questions.
(A) [90%] Compute the inward heat flux (i.e., the inward flux of F) across the surface z =
1 - x² - y².
(B) [10%] Use the differential operator(s) to determine if the heat flow is rotational or irrotational.
Chapter 12 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
Ch. 12.1 - If quadrilateral ABCDEFGH, then complete the...Ch. 12.1 - Can you construct a triangle using the lengths...Ch. 12.1 - A triangle has two sides of length 10cm and 14cm....Ch. 12.1 - For the figure below, answer the following. a. If...Ch. 12.1 - In a circle with centre A and radius AB, let P be...Ch. 12.1 - Prob. 6MCCh. 12.1 - Prob. 7MCCh. 12.1 - Prob. 8MCCh. 12.1 - Prob. 9MCCh. 12.1 - Explain why the quadrilateral ABCD is a kite.
Ch. 12.1 - To draw the perpendicular to a line l through a...Ch. 12.1 - In the following drawing a compass is used to draw...Ch. 12.1 - Prob. 13MCCh. 12.1 - Prob. 14MCCh. 12.1 - Prob. 16MCCh. 12.1 - Prob. 17MCCh. 12.1 - Prob. 18MCCh. 12.1 - Prob. 19MCCh. 12.1 - Prob. 20MCCh. 12.1 - A student claims that all squares are congruent...Ch. 12.1 - Joel claims that the following triangles are...Ch. 12.1 - On a test, a student wrote the answer as ABCD...Ch. 12.1 - Prob. 24MCCh. 12.1 - Zara claims that in spite of the fact that every...Ch. 12.1 - Prob. 1NAEPCh. 12.1 - Which two figures are congruent? a. E and H b. F...Ch. 12.1A - If CATDOG, which of the following, if any, is...Ch. 12.1A - In TRI and ABC, TRAB, RIBC, and ITCA. Which angle...Ch. 12.1A - Find two congruent triangles in the following...Ch. 12.1A - A truss used in house construction to strengthen...Ch. 12.1A - Prob. 5ACh. 12.1A - Prob. 6ACh. 12.1A - Prob. 7ACh. 12.1A - Prob. 8ACh. 12.1A - Given three points in the plane, is it always...Ch. 12.1A - Prob. 10ACh. 12.1A - Prob. 11ACh. 12.1A - Prob. 12ACh. 12.1A - Prob. 14ACh. 12.1A - Prob. 15ACh. 12.1A - Prob. 16ACh. 12.1A - Prob. 18ACh. 12.1A - Prob. 19ACh. 12.1A - Draw a segment. Then use any instruments to...Ch. 12.1A - Prob. 21ACh. 12.1A - Prob. 22ACh. 12.1A - Given three points in the plane, is it always...Ch. 12.1B - Prob. 1ACh. 12.1B - Prob. 2ACh. 12.1B - Prob. 3ACh. 12.1B - Prob. 4ACh. 12.1B - Prove that if the convex quadrilateral ABCD has...Ch. 12.1B - Find the measure of C in the following figure.Ch. 12.1B - Prob. 7ACh. 12.1B - Prob. 8ACh. 12.1B - For each of the following, determine whether the...Ch. 12.1B - Prob. 10ACh. 12.1B - Prob. 11ACh. 12.1B - Prob. 13ACh. 12.1B - Prob. 14ACh. 12.1B - Let ABCD be a square with diagonals AC and BD...Ch. 12.1B - Prob. 19ACh. 12.1B - Prob. 20ACh. 12.1B - Prob. 21ACh. 12.2 - MATHEMATICAL CONNECTIONS a. If you know 4 parts...Ch. 12.2 - List all the methods you know to prove that two...Ch. 12.2 - Prob. 3MCCh. 12.2 - In making a quilt block out of congruence right...Ch. 12.2 - Prob. 5MCCh. 12.2 - Prob. 6MCCh. 12.2 - Prob. 7MCCh. 12.2 - Prob. 8MCCh. 12.2 - MATHEMATICAL CONNECTIONS The marked angles and a...Ch. 12.2 - Prob. 14MCCh. 12.2 - Prob. 15MCCh. 12.2 - MATHEMATICAL CONNECTIONS A student asks why...Ch. 12.2 - A student says that she knows that a parallelogram...Ch. 12.2 - Prob. 18MCCh. 12.2 - Prob. 19MCCh. 12.2 - In the following regular pentagon, use the...Ch. 12.2 - If possible, construct a triangle that has the...Ch. 12.2 - MATHEMATICAL CONNECTIONS Construct an equilateral...Ch. 12.2 - MATHEMATICAL CONNECTIONS For each of the following...Ch. 12.2A - Construct each of the following figures, if...Ch. 12.2A - ASSESSMENT For each of the conditions in exercise...Ch. 12.2A - ASSESSMENT For each of the following, determine...Ch. 12.2A - Prob. 4ACh. 12.2A - List congruent triangles, if any, for each of the...Ch. 12.2A - Prob. 6ACh. 12.2A - Suppose ABCDEF, find the following measures. a....Ch. 12.2A - Prob. 8ACh. 12.2A - Given ADEC and BDBC, Prove ABDEBC.Ch. 12.2A - Prob. 10ACh. 12.2A - In each of the following statements, identify the...Ch. 12.2A - Prob. 12ACh. 12.2A - ASSESSMENT Classify each of the following...Ch. 12.2A - Prob. 15ACh. 12.2A - Prob. 16ACh. 12.2A - The game of Triominoes has equilateral-triangular...Ch. 12.2A - ASSESSMENT In the rectangle ABCD shown, X and Y...Ch. 12.2A - Prob. 20ACh. 12.2A - Prob. 21ACh. 12.2A - Prob. 22ACh. 12.2A - ASSESSMENT What minimum information is sufficient...Ch. 12.2A - Prob. 25ACh. 12.2B - Prob. 1ACh. 12.2B - Prob. 3ACh. 12.2B - Prob. 6ACh. 12.2B - Prob. 7ACh. 12.2B - Prob. 8ACh. 12.2B - Prob. 9ACh. 12.2B - Prob. 10ACh. 12.2B - Prob. 11ACh. 12.2B - Prob. 12ACh. 12.2B - Prob. 14ACh. 12.2B - Prob. 15ACh. 12.2B - Prob. 16ACh. 12.2B - Prob. 17ACh. 12.2B - Prob. 18ACh. 12.2B - Prob. 20ACh. 12.2B - ASSESSMENT What minimum information sufficient to...Ch. 12.2B - Prob. 22ACh. 12.2B - Prob. 23ACh. 12.3 - Mathematical Connections Draw a line l and a point...Ch. 12.3 - In the figure below, AC=30. Explain why or why not...Ch. 12.3 - Prob. 3MCCh. 12.3 - a. Construct a circle O and draw two diameters....Ch. 12.3 - Mathematical Connections Place three dots, A,B and...Ch. 12.3 - Mathematical Connections Lines l and m intersect...Ch. 12.3 - Mathematical Connections Given an angle and a roll...Ch. 12.3 - Mathematical Connections If two pieces of tape of...Ch. 12.3 - Prob. 9MCCh. 12.3 - Prob. 10MCCh. 12.3 - Prob. 12MCCh. 12.3 - Prob. 13MCCh. 12.3 - Each member of the group should cut out a large...Ch. 12.3 - Prob. 15MCCh. 12.3 - MATHEMATICAL CONNECTIONS A student asked if a line...Ch. 12.3 - Prob. 17MCCh. 12.3 - MATHEMATICAL CONNECTIONS A student wants to know...Ch. 12.3 - Prob. 20MCCh. 12.3 - Use inductive reasoning to answer the following....Ch. 12.3 - Mathematical Connections In the following figure,...Ch. 12.3 - Mathematical Connections Draw ABC. Then construct...Ch. 12.3 - Mathematical Connections Given two right...Ch. 12.3 - Mathematical Connections Find the value of x.Ch. 12.3A - Prob. 2ACh. 12.3A - Prob. 3ACh. 12.3A - Prob. 4ACh. 12.3A - Prob. 5ACh. 12.3A - Prob. 6ACh. 12.3A - Prob. 7ACh. 12.3A - Prob. 8ACh. 12.3A - Prob. 10ACh. 12.3A - Prob. 11ACh. 12.3A - Prob. 12ACh. 12.3A - Prob. 13ACh. 12.3A - Prob. 14ACh. 12.3A - Describe how to construct the incircle of a...Ch. 12.3A - Prob. 16ACh. 12.3A - Prob. 17ACh. 12.3A - Prob. 18ACh. 12.3A - Use compass and straightedge to construct angles...Ch. 12.3A - Prob. 21ACh. 12.3A - Prob. 22ACh. 12.3A - Construct a circle. Then construct an equilateral...Ch. 12.3B - Prob. 3ACh. 12.3B - Mathematical Connections In the figure, OP is the...Ch. 12.3B - Prob. 5ACh. 12.3B - Assessment Construct an obtuse triangle and the...Ch. 12.3B - Prob. 7ACh. 12.3B - Prob. 8ACh. 12.3B - Prob. 9ACh. 12.3B - Prob. 10ACh. 12.3B - Prob. 11ACh. 12.3B - Prob. 13ACh. 12.3B - Prob. 14ACh. 12.3B - Prob. 15ACh. 12.3B - Prob. 16ACh. 12.3B - ASSESSMENT Explain why any rectangle can be...Ch. 12.3B - Prob. 18ACh. 12.3B - Prob. 19ACh. 12.3B - Prob. 20ACh. 12.3B - Prob. 21ACh. 12.3B - Given a circle, find an equilateral triangle for...Ch. 12.4 - Prob. 1MCCh. 12.4 - Write a description of what it takes for two...Ch. 12.4 - If two isosceles triangle have non-base angles of...Ch. 12.4 - If two right triangles have hypotenuses that are...Ch. 12.4 - Prob. 5MCCh. 12.4 - Prob. 6MCCh. 12.4 - Prob. 7MCCh. 12.4 - Prob. 8MCCh. 12.4 - Prob. 9MCCh. 12.4 - If two figures are similar but not congruent, how...Ch. 12.4 - How are the SSS and SAS similarity thoerems like...Ch. 12.4 - Prob. 12MCCh. 12.4 - Prob. 13MCCh. 12.4 - Prob. 14MCCh. 12.4 - Prob. 15MCCh. 12.4 - Prob. 16MCCh. 12.4 - Prob. 17MCCh. 12.4 - Prob. 18MCCh. 12.4 - Prob. 19MCCh. 12.4 - Prob. 20MCCh. 12.4 - A student asks whether there is an ASA similarity...Ch. 12.4 - Describe a minimal set of conditions that can be...Ch. 12.4 - The figure below shows two right angles. The...Ch. 12.4 - Prob. 2NAEPCh. 12.4A - Prob. 1ACh. 12.4A - Prob. 2ACh. 12.4A - Prob. 3ACh. 12.4A - Prob. 4ACh. 12.4A - Prob. 5ACh. 12.4A - Prob. 7ACh. 12.4A - Prob. 8ACh. 12.4A - Prob. 9ACh. 12.4A - Prob. 10ACh. 12.4A - Prob. 11ACh. 12.4A - A photocopy of a polygon was reduced by 80 and...Ch. 12.4A - Sketch two hexagons with corresponding sides...Ch. 12.4A - Prob. 15ACh. 12.4A - Prob. 16ACh. 12.4A - In the following figure, find the distance AB...Ch. 12.4A - Prob. 18ACh. 12.4A - Prob. 19ACh. 12.4A - a. Examine several examples of similar polygons...Ch. 12.4A - Prob. 21ACh. 12.4A - The midpoints M,N,P,Q of the sides of a...Ch. 12.4A - Prob. 23ACh. 12.4A - Prob. 24ACh. 12.4B - School pictures come in 8in.by10in., 5in.by7in....Ch. 12.4B - Prob. 2ACh. 12.4B - Prob. 4ACh. 12.4B - Prob. 5ACh. 12.4B - Prob. 9ACh. 12.4B - Prob. 12ACh. 12.4B - Prob. 13ACh. 12.4B - Prob. 14ACh. 12.4B - To find the height of a tree, a group of Girl...Ch. 12.4B - Prob. 17ACh. 12.4B - Prob. 18ACh. 12.4B - Prob. 19ACh. 12.4B - Prob. 20ACh. 12.4B - a. In the figure, ABCD is a trapezoid, M is the...Ch. 12.4B - ABCD is a convex quadrilateral and M,N,P,Q are the...Ch. 12.4B - Prob. 23ACh. 12.4B - Prob. 24ACh. 12.CR - Each of the following figures contains at least...Ch. 12.CR - Prob. 2CRCh. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - Prob. 11CRCh. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Prob. 16CRCh. 12.CR - Determine the vertical height of playground slide...Ch. 12.CR - Prob. 18CRCh. 12.CR - Prob. 19CRCh. 12.CR - Prob. 20CRCh. 12.CR - Prob. 21CRCh. 12.CR - ABCD is a trapezoid with BCAD. Points M and N are...Ch. 12.CR - Prob. 23CRCh. 12 - Assume ABCDEF. a. List the congruent angles and...Ch. 12 - Prob. 2NTCh. 12 - Prob. 3NTCh. 12 - Prob. 4NTCh. 12 - Prob. 5NTCh. 12 - Prob. 6NTCh. 12 - Prob. 7NTCh. 12 - Prob. 8NTCh. 12 - Are all right triangles in which the hypotenuse is...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Could you show why the answer is B Using polar coordinates and the area formulaarrow_forward1. The parametric equations x = u, y = u cos v, z = usin v, with Ou≤ 2, 0 ≤ v ≤ 2π represent the cone that is obtained by revolving (about x-axis) the line y = x (for 0 ≤ x ≤2) in the xy-plane. Answer the following questions. (A) [50%] Sketch the cone and compute its surface area, which is given by dS = [ | Ər Or ди მა × du dv with S being the cone surface and D being the projection of S on the uv-plane. (B) [50%] Suppose that the density of the thin cone is σ(x, y, z) = 0.25x gr/cm². Compute the total mass of the cone.arrow_forwardThe value of sin (2V · F) at x = 3, y = 3, z = −4, where F -0.592 -0.724 0.661 -0.113 -0.822 -0.313 0.171 0.427 = (-2x² + -4,2yz − x − 3, −5xz - 2yz), isarrow_forward
- 14 A survey is conducted to determine whether would prefer to work at home, if given the 20 office employees of a certain company chance. The overall results are shown in the first bar graph, and the results broken down by gender are presented in the second. a. Interpret the results of each graph. b. Discuss the added value in including gen- der in the second bar graph. (The second bar graph in this problem is called a side by side bar graph and is often used to show results broken down by two or more variables.) c. Compare the side by side bar graph with the two pie charts that you made for Question 6. Which of the two methods is best for comparing two groups, in your opinion? A Would you prefer to work at home? (n=20) 60 50 40 Percent 20 30 20 30 10 0 No Yes Prefer to work at home? (10 males, 10 females) 80 Percent 60 00 40 40 20- No Yes No Yes Female Malearrow_forwardThe correct answer is C Could you show me whyarrow_forwardFrequency 12 Suppose that a random sample of 270 gradu- ating seniors are asked what their immediate priorities are, including whether buying a house is a priority. The results are shown in the following bar graph. a. The bar graph is misleading; explain why. b. Make a new bar graph that more fairly presents the results. Is Buying a House a Priority? 300 250 200 150 100 50 0 Yes No Undecidedarrow_forward
- The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -4. Select all that apply: ☐ f(x) is not continuous at x = -4 because it is not defined at x = −4. ☐ f(x) is not continuous at x = -4 because lim f(x) does not exist. x-4 f(x) is not continuous at x = -4 because lim f(x) = f(−4). ☐ f(x) is continuous at x = -4. x-4 ين من طلب نہ 1 2 3 4 5 6 7arrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -1. -7-6-5 N HT Select all that apply: ☐ f(x) is not continuous at x = -1 because it is not defined at x = -1. ☐ f(x) is not continuous at -1 because lim f(x) does not exist. x-1 ☐ f(x) is not continuous at x = -1 because lim f(x) = f(−1). ☐ f(x) is continuous at x = -1. x-1 5 6 7arrow_forwardFrequency 11 A polling organization wants to find out what voters think of Issue X. It chooses a random sample of voters and asks them for their opinions of Issue X: yes, no, or no opinion. I organize the results in the following bar graph. a. Make a frequency table of these results (including the total number). brocb. Evaluate the bar graph as to whether it biz s b fairly represents the results. of beau no STORE TO OW! vd wob spind 550 540 500 vd 480 420 360 300 250 240 Yes No Undecided Opinion on Issue Xarrow_forward
- Percent 13 A car dealer specializing in minivan sales saibe conducts a survey to find out more about who its customers are. One of the variables at the company measures is gender; the results of this part of the survey are shown in the following bar graph. pow a. Interpret these results. b. Explain whether you think the bar graph is a fair and accurate representation of this data. 70 Gender of Customers 60 50 40 30 20 10 0 Males Femalesarrow_forwardUse the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the y-axis. y=x², y=7-6x, x = 0, for x≥0arrow_forwardThe graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = −3. -7-6- -5- +1 23456 1 2 3 4 5 67 Select the correct answer below: ○ f(x) is not continuous at x = f(x) is not continuous at x = f(x) is not continuous at x = f(x) is continuous at x = -3 -3 because f(-3) is not defined. -3 because lim f(x) does not exist. 2-3 -3 because lim f(x) = f(−3). 2-3arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Introduction to Triple Integrals; Author: Mathispower4u;https://www.youtube.com/watch?v=CPR0ZD0IYVE;License: Standard YouTube License, CC-BY