Part 2: Use congruency theorems to prove congruency. 1. The congruency of AMNO and AXYZ can be proven using a reflection across the line bisecting ÖZ. However, this congruency can also be proven using geometric postulates, theorems, and definitions. Prove that the triangles are congruent using a two-column proof and triangle congruency theorems. Given: ZM ZX ZN = LY YO NZ Prove: AMNO AXYZ M N N

Q: 1 10. Given a 3 x 3 matrix A that has its inverse matrix A- = 3 4 -2 -6 -1 1 determine the value of…

A:

Q: Lagrange Multipliers Consider the problem of maximizing the fu Vĩ + Vỹ = 5. a. Try using Lagrange…

A: Lagrange's Multiplier: Let  the function is z=f(x, y) subject to constraint g(x,y). To find extreme…

Q: Suppose that f (x) and g(x) are functions with the following properties: for x= 3, the value g(x) is…

A: Given fx≈7-2x-5gx≈5+4x-3to determine approximate of fgx for x≈3

Q: Define g(6) for the given function so that it is continuous at x = 6. 4x² - 144 4x - 24 g(x) =…

A: given function

Q: Consider the diagram. 5/7 Given that rls and q is a transversal, we know that 23 26 by the…

A: We have given that lines r and s are parallel and q is transversal.

Q: A magazine devoted to cycling, reviews hundreds of bicycles throughout the year. Its Road-Race…

A: We should find the regression equation. Please find the solution below. Thank you.

Q: Suppose the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9), and A = {1,5,7,8,9}, B = and C= {1,4}.…

A: Remember :

Q: Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for…

A: Solution is uploaded below.

Q: 6. A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards. (a) What is…

A: 6) Given: A hand of 5 cards is dealt to each of the 3 players from a standard deck of cards.

Q: 3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below.…

A: cosine law c2 = a2 + b2 - 2abcosAsine law asinA = bsinB = csinC

Q: 0 0<x<1 1 1<x<2 2 2<x<3 3 3<x<4 f(x) -1 Negative 0 Positive 2 Positive 0 Negative f'(x) 4 Positive 0…

A:

Q: 7. Distribution: Heights of Coeds Assuming that the heights of college women are normally…

A: For the distribution (specified to be distributed normally) of the height (in inches) of the college…

Q: 13. An economy produces cotton (good 1) and wheat (good 2). The production of one unit of cotton…

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Given that the region bounded by the given curves about the x axis is       x = -3y2 + 12y - 9 ,…

Q: Could you please highlight the correct answer. and explain it

A: For baby dolphin group,

Q: weigh? Let x be the age of the pony (in months), and let y be weight of the pony (in kilograms). The…

A: Given that,X 3 6 12 18 24      Y 60 95 140 170 185a.Scatter diagram:Using EXCEL,Enter the data…

Q: For the following conjecture, state the null and alternative hypotheses. The average age of…

A: Given information- We have given that the average age of first-year medical school students has…

Q: Could you please highlight the correct answer. and explain it

A: Using the data, The sample means are x1-bar is 1.10 and x2-bar is 2.60. The sample standard…

Q: Prove that the points represent the vertices of a parallelogram. You may use the method of your…

A: The given points are A-4,7, B3,0, C2,-5 and D-5,2. Note that, the distance between 2 points x1,y1…

Q: Use a computer grapher to produce a graph of the function f(x) = 2" over the interval [0, 1]. Draw a…

A: The mean value theorem said: If f(x) is any function, f(x) is continuous in the interval [a,b] f(x)…

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

A:

Q: 15. | Veterinary Science: Colts The body weight of a healthy 3-month-old colt should be about μ = 60…

A: The question is about hypothesis testingSet-up to develop null and alternative hypothesis :1 ) If…

Q: Find mcI and then m L2, Justify each aswer 750

A: Given query is to find the measure of angle 1 and 2.

Q: 8. Critical Thinking: Lurking Variables Over the past decade, there has been a strong positive…

A: There is a strong positive correlation between teacher salaries and prescription drug costs.

Q: 4. | Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0.4: (a) Can events A and B be…

A: In both questions P(A) and P(B) are given

Q: An equation is written. ас - b 3 1 Based on the equation, which is a true state c = 1+6- a b = -ac +…

A: Any equation we can divide subtracte add multiple b

Q: Could you please highlight the correct answer. and explain it

A: The null hypothesis for a chi square independence test say that two categorical variables are…

Q: Question 9: Use R to answer the following. Let X have a binomial distribution with parameters n=25…

A: Solution -given that. n=25  p=0.60 then by using r software to solve the following problem a)…

Q: 5. A student in the Careau lab is studying how metabolic rate in male fruit flies (Drosophila…

A:

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 321…

A: We have given that, The weights of cows have a normal distribution with mean (Mu) = 321 and standard…

Q: Could you please highlight the correct answer. and explain it

A: Given values 10.2 10.4 9.9 10.7 10.3 9.7 10.3 10.7 10.1 10.6 10.3 10 10.2 10.1 10.3 9.9 9.7 10.6…

Q: A tank initially contains 0.004 kg of salt per liter of water. Brine with a density of 0.71 kg of…

A: Please check step 2 for the solution.!

Q: A = 10 y = f(x) -5 -1 6. A2 = 20 The graph of y = f(x) is shown in the figure above. Given that the…

A:

Q: Economics: Entry-Level Jobs An economist is studying the job market in Denver-area neighborhoods.…

A: Regression  line:A regression line indicates a linear relationship between the dependent variables…

Q: to simplity each expression and then select the simplified expression. Expression First Step…

A: