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A: Two parallel lines l and m are cut by transversal t. For a pair of interior angles on one side of…
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Andrea said that if M ankle two equals 40° then M
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- Theorem 1-1 states that two lines intersect in exactly onepoint. The diagram suggests what would happen if youtried to show two "lines" drawn through two points.1.) Based upon the data, is it reasonable to assume Bigfoot was heading in a relatively straight line? If so, are there any reported locations that seem out of place? What possible reasons could explain these out of place sightings? (List at least two.) 2.) If we assume our large-footed friend was traveling linearly across campus, create a linear model that you feel best fits Bigfoot’s path. 3.) Are there any locations that your model estimates for Bigfoot’s position that would be realistically impossible or highly unlikely? If so, give an example of such a location and explain why it is unlikely. 4.) On the map, there are train tracks running straight and next to the university bike trail. Find the equation of the line that traces over these tracks. Use this equation along with your model of Bigfoot’s path to algebraically estimate the most likely area where Bigfoot crossed the train tracks. 5.) Authorities out to catch Bigfoot, are…If the results of a two-factor experiment are presented in a line graph, then what pattern appears in the graph if there is an interaction? the lines in the graph are bent there is a space separating the lines the lines are parallel the lines move toward each other or cross
- Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (1,2), (-7,-4), and (- 15,4), respectively. The epicenter of an earthquake is determined to be 5 units from X 5 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located? Find the coordinates of the epicenter. (Type an ordered pair.)Mental rotation times will be measured in a fashion similar to that described by Shepard and Meltzer (1971). After a block of practice trials, each student will receive 12 trials with a non- rotated comparison stimulus (0 or no rotation). Then, students will be tested for 12 trials with a comparison rotated at a 60 degree angle, followed by 12 trials with a comparison rotated at a 120 degree angle. Finally, they will receive 12 trials with a comparison rotated at a 180 degree angle. The angles will always be tested in this same order. A) What is the independent variable in this experiment? B) What variable is confounded with the independent variable? Explain why it is aconfounded variable. C) The present experiment is not properly counterbalanced. Explain how the lack of counterbalancing could bias the results. Assume in your answer that reaction times get faster over trial blocks with practice, and say whether you would expect the slope of the real function relating angle of rotation…In a park, Camila is creating two designs for a fenced-in region so that dogs have a safe place to play. Camila designs each region using a coordinate grid where each unit on the grid represents one foot. Part A Camila’s first design is triangular-shaped. On the coordinate grid, she identifies two of the vertices to be (0, 0) and (0, 35). The third vertex is labeled as (x, 42). What is the positive x-coordinate of the third vertex if the area of the region will cover 700 square feet? Part B Camila’s second design is a six-sided region using the coordinates (0, 0), (0, 35), (30, 0), (40, 48), (35, 48), and (5, 35). How many feet of fencing material will Camila need for this region (rounded to the nearest whole number) ?
- Consider the uncapacitated network flow problem shown in the following image. The label next to each arc is its cost. Solve this problem using the network simplex problem. Start with the tree indicated by the dashed arcs in the figure.Given are three simple linear equations in the format of y = mx + b. Equation 1: y = 28,888 + 0.68x Equation 2: y = 6,658 + 1.57x Equation 3: y = 13,897 + 1.08x Plot all equations 1, 2, and 3 on the same graph paper. The graph must show how these equations intersect with each other if they do. Label each equation. Compute each Interception point (coordinate). On the graph label each interception point with its coordinate.