Explanation Given: In the congruent triangles LMN and XYZ , The measure of the sides L M = 8 , N L = m , M N = 14 X Y = 2 , Z X = 1 3 4 and Y Z = x . The angle ∠ L = ∠ X and ∠ M = ∠ Y . Procedure used: 1. Observe the given dimensions of the corresponding sides and compute a pair with known measures. 2. Pair the unknown side with its corresponding known side. 3. Established a direct proportion with the above obtained two pairs. 4. Solve the proportion. Description: In general, the congruent triangles are the triangles with same shape and size. That is, when the corresponding sides and angles of two triangles are equal then they are called as congruent triangles. Obtain the pairs of known measures. Since ∠ L = ∠ X and ∠ M = ∠ Y , the third angle of both triangles must be equal to each other. That is, ∠ N = ∠ Z . The side opposite to ∠ N and ∠ Z will also be equal. So, L M ¯ = X Y ¯ The pair corresponds to L M ¯ and X Y ¯ is 8 and 2 . Therefore, the known pair is 8 and 2 . Now compute the pairs with one unknown measure as follows. Since ∠ L = ∠ X , the sides that are opposite to this corresponding angles must be equal. From the given Figure, the angle opposite to ∠ L and ∠ X are observed to be M N ¯ and Y Z ¯ , respectively. Thus, M N ¯ = Y Z ¯ . The pair corresponds to M N ¯ and Y Z ¯ is 14 and x . Therefore, the pair with one unknown measure is 14 and x

10th Edition

ISBN: 8220106960301

Author: Hobbs

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 18, Problem 8RE

To determine

The measures of the sides m and x.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 18, Problem 7RE

Chapter 18, Problem 9RE

Students have asked these similar questions

Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADO

The spread of an infectious disease is often modeled using the following autonomous differential equation: dI - - BI(N − I) − MI, dt where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of transmission, and μ is the rate at which people recover from infection. Close a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria. b) (5 points) For the equilbria in part a), determine whether each is stable or unstable. c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the dt function by hand.) Identify the equilibria as stable or unstable in the graph. d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.

Find the indefinite integral. Check Answer: 7x 4 + 1x dx

Chapter 18 Solutions

EBK COLLEGE MATHEMATICS FOR TRADES AND

Ch. 18.1 - Evaluate to the nearest tenth. Ch. 18.1 - Prob. 2LC Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E Ch. 18.1 - Prob. 7E Ch. 18.1 - Prob. 8E

Ch. 18.1 - Prob. 9E Ch. 18.1 - Prob. 10E Ch. 18.1 - Prob. 11E Ch. 18.1 - Prob. 12E Ch. 18.1 - Prob. 13E Ch. 18.1 - Prob. 14E Ch. 18.1 - Prob. 15E Ch. 18.1 - Prob. 16E Ch. 18.2 - Evaluate . Ch. 18.2 - Prob. 2LC Ch. 18.2 - Prob. 1E Ch. 18.2 - Prob. 2E Ch. 18.2 - Prob. 3E Ch. 18.2 - Prob. 4E Ch. 18.2 - Prob. 5E Ch. 18.2 - Prob. 6E Ch. 18.2 - Prob. 7E Ch. 18.2 - Prob. 8E Ch. 18.2 - Prob. 9E Ch. 18.2 - Prob. 10E Ch. 18.2 - Prob. 11E Ch. 18.2 - Solve the problems. Round final answers to the...Ch. 18.2 - Prob. 13E Ch. 18.2 - Prob. 14E Ch. 18.2 - Prob. 15E Ch. 18.2 - Prob. 16E Ch. 18.2 - Prob. 17E Ch. 18.2 - Prob. 18E Ch. 18.2 - Prob. 19E Ch. 18.2 - Prob. 20E Ch. 18.2 - Prob. 21E Ch. 18.2 - Prob. 22E Ch. 18.2 - Prob. 23E Ch. 18.2 - Prob. 24E Ch. 18.2 - Prob. 25E Ch. 18.2 - Prob. 26E Ch. 18.2 - Prob. 27E Ch. 18.2 - Prob. 28E Ch. 18.3 - Prob. 1LC Ch. 18.3 - Prob. 1E Ch. 18.3 - Prob. 2E Ch. 18.3 - Prob. 3E Ch. 18.3 - Prob. 4E Ch. 18.3 - Prob. 5E Ch. 18.3 - Prob. 6E Ch. 18.3 - Prob. 7E Ch. 18.3 - Prob. 8E Ch. 18.3 - Prob. 9E Ch. 18.3 - Prob. 10E Ch. 18.3 - Prob. 11E Ch. 18.3 - Prob. 12E Ch. 18.3 - Prob. 13E Ch. 18.3 - Prob. 14E Ch. 18.3 - Prob. 15E Ch. 18.3 - Prob. 16E Ch. 18.3 - Prob. 17E Ch. 18.3 - Prob. 18E Ch. 18.3 - Prob. 19E Ch. 18.3 - Prob. 20E Ch. 18.3 - Prob. 21E Ch. 18.3 - Prob. 22E Ch. 18.3 - Prob. 23E Ch. 18.3 - Prob. 24E Ch. 18.3 - Prob. 25E Ch. 18.3 - Prob. 26E Ch. 18.3 - Prob. 27E Ch. 18.3 - Prob. 28E Ch. 18.3 - Prob. 29E Ch. 18.3 - Prob. 30E Ch. 18.3 - Prob. 31E Ch. 18.3 - Prob. 32E Ch. 18.3 - Prob. 33E Ch. 18.3 - Prob. 34E Ch. 18.3 - Prob. 35E Ch. 18.3 - Prob. 36E Ch. 18.3 - Prob. 37E Ch. 18.3 - Prob. 38E Ch. 18.3 - Prob. 39E Ch. 18.3 - Prob. 40E Ch. 18.3 - Prob. 41E Ch. 18.3 - Prob. 42E Ch. 18.3 - Prob. 43E Ch. 18.3 - Prob. 44E Ch. 18.3 - Prob. 45E Ch. 18.3 - Prob. 46E Ch. 18.3 - Prob. 47E Ch. 18.3 - Prob. 48E Ch. 18.4 - Prob. 1LC Ch. 18.4 - Prob. 1E Ch. 18.4 - Prob. 2E Ch. 18.4 - Prob. 3E Ch. 18.4 - Prob. 4E Ch. 18.4 - Prob. 5E Ch. 18.4 - Prob. 6E Ch. 18.4 - Prob. 7E Ch. 18.4 - Prob. 8E Ch. 18.4 - Prob. 9E Ch. 18.4 - Prob. 10E Ch. 18.4 - Prob. 11E Ch. 18.4 - Prob. 12E Ch. 18.4 - Prob. 13E Ch. 18.4 - Prob. 14E Ch. 18.4 - Prob. 15E Ch. 18.4 - Prob. 16E Ch. 18.4 - Prob. 17E Ch. 18.4 - Prob. 18E Ch. 18.4 - Prob. 19E Ch. 18.4 - Prob. 20E Ch. 18 - Prob. 1RE Ch. 18 - Prob. 2RE Ch. 18 - Prob. 3RE Ch. 18 - Prob. 4RE Ch. 18 - Prob. 5RE Ch. 18 - Prob. 6RE Ch. 18 - Prob. 7RE Ch. 18 - Prob. 8RE Ch. 18 - Prob. 9RE Ch. 18 - Find AB if (see Fig. 18–111). Ch. 18 - Use Fig. 18–112 to solve the following exercises....Ch. 18 - Prob. 12RE Ch. 18 - Prob. 13RE Ch. 18 - Prob. 14RE Ch. 18 - Prob. 15RE Ch. 18 - Use Fig. 18–112 to solve the following exercises....Ch. 18 - Prob. 17RE Ch. 18 - Prob. 18RE Ch. 18 - Prob. 19RE Ch. 18 - Solve the following problems. Round the final...Ch. 18 - Prob. 21RE Ch. 18 - Prob. 22RE Ch. 18 - Prob. 23RE Ch. 18 - Prob. 24RE Ch. 18 - Prob. 25RE Ch. 18 - Prob. 26RE Ch. 18 - Prob. 27RE Ch. 18 - Prob. 28RE Ch. 18 - Prob. 29RE Ch. 18 - Use Fig. 18–115 to solve the following exercises....Ch. 18 - Prob. 31RE Ch. 18 - Prob. 32RE Ch. 18 - Prob. 33RE Ch. 18 - Prob. 34RE Ch. 18 - Prob. 35RE Ch. 18 - Solve. Round your final answers to the nearest...Ch. 18 - Prob. 37RE Ch. 18 - Prob. 38RE Ch. 18 - Prob. 39RE Ch. 18 - Prob. 40RE Ch. 18 - Prob. 41RE Ch. 18 - Prob. 42RE Ch. 18 - Prob. 43RE Ch. 18 - Prob. 44RE Ch. 18 - Prob. 45RE Ch. 18 - Prob. 46RE Ch. 18 - Prob. 47RE Ch. 18 - Prob. 48RE Ch. 18 - Prob. 49RE Ch. 18 - Prob. 50RE Ch. 18 - Prob. 51RE Ch. 18 - Prob. 52RE Ch. 18 - Prob. 53RE Ch. 18 - Prob. 54RE Ch. 18 - Prob. 55RE Ch. 18 - Prob. 56RE Ch. 18 - Prob. 57RE Ch. 18 - Prob. 58RE Ch. 18 - Prob. 59RE Ch. 18 - Prob. 60RE Ch. 18 - Prob. 61RE Ch. 18 - Find the distance between each pair of points....Ch. 18 - Prob. 63RE Ch. 18 - Prob. 64RE Ch. 18 - Prob. 65RE Ch. 18 - Prob. 66RE Ch. 18 - Prob. 67RE Ch. 18 - Prob. 68RE Ch. 18 - Prob. 69RE Ch. 18 - Prob. 70RE Ch. 18 - Prob. 71RE Ch. 18 - Prob. 72RE Ch. 18 - Prob. 73RE Ch. 18 - Prob. 74RE Ch. 18 - Prob. 1CA Ch. 18 - Prob. 2CA Ch. 18 - Prob. 3CA Ch. 18 - Prob. 4CA Ch. 18 - Prob. 5CA Ch. 18 - Prob. 6CA Ch. 18 - Prob. 7CA Ch. 18 - Prob. 8CA Ch. 18 - Prob. 9CA Ch. 18 - Prob. 10CA Ch. 18 - Prob. 1PT Ch. 18 - Prob. 2PT Ch. 18 - Prob. 3PT Ch. 18 - Prob. 4PT Ch. 18 - Prob. 5PT Ch. 18 - Prob. 6PT Ch. 18 - Prob. 7PT Ch. 18 - Prob. 8PT Ch. 18 - Prob. 9PT Ch. 18 - Prob. 10PT Ch. 18 - Prob. 11PT Ch. 18 - Prob. 12PT Ch. 18 - Prob. 13PT Ch. 18 - Prob. 14PT Ch. 18 - Prob. 15PT Ch. 18 - Prob. 16PT Ch. 18 - Prob. 17PT Ch. 18 - Prob. 18PT Ch. 18 - Prob. 19PT Ch. 18 - Prob. 20PT Ch. 18 - Prob. 1CPT Ch. 18 - Prob. 2CPT Ch. 18 - Prob. 3CPT Ch. 18 - Prob. 4CPT Ch. 18 - Prob. 5CPT Ch. 18 - Prob. 6CPT Ch. 18 - Prob. 7CPT Ch. 18 - Prob. 8CPT Ch. 18 - Prob. 9CPT Ch. 18 - Prob. 10CPT Ch. 18 - Prob. 11CPT Ch. 18 - Prob. 12CPT Ch. 18 - Prob. 13CPT Ch. 18 - Prob. 14CPT Ch. 18 - Prob. 15CPT Ch. 18 - Prob. 16CPT Ch. 18 - Prob. 17CPT Ch. 18 - Prob. 18CPT Ch. 18 - Prob. 19CPT Ch. 18 - Prob. 20CPT Ch. 18 - Prob. 21CPT Ch. 18 - Prob. 22CPT Ch. 18 - Prob. 23CPT Ch. 18 - Prob. 24CPT Ch. 18 - Prob. 25CPT Ch. 18 - Prob. 26CPT Ch. 18 - Prob. 27CPT Ch. 18 - Prob. 28CPT Ch. 18 - Prob. 29CPT Ch. 18 - Prob. 30CPT Ch. 18 - Prob. 31CPT Ch. 18 - Prob. 32CPT Ch. 18 - Prob. 33CPT Ch. 18 - Prob. 34CPT Ch. 18 - Prob. 35CPT Ch. 18 - Prob. 36CPT Ch. 18 - Prob. 37CPT Ch. 18 - Prob. 38CPT

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.

The measures of the sides m and x .

Videos

The measures of the sides m and x.

Want to see the full answer?

Chapter 18 Solutions