Determine whether the triangles are congruent. If they are congruent, state why.
A. congruent; SAS
B. congruent; ASA
C. congruent; SSS
D. not congruent
Answer: A
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Provide an appropriate response.Suppose that A and B are two matrices such that A + B, A - B, and AB all exist. What can you conclude about the dimensions of A and B?
A. A and B have the same dimension but are not necessarily square matrices. B. A and B are square matrices of the same dimension. C. There are no dimensions of A and B that would make this possible. D. A is a row matrix, and B is a column matrix.
What are the equations of lines B and D on the template for Sam’s dartboard?
Sam is sketching a template on graph paper to use as a guide for his painted cork dart board. The diameter of Circle 1 is 2 feet and the distance between the edges of each of the next three pairs of circles is 1 foot.The distance between Circle 4 and Circle 5 is foot. Sam does not want axes through or touching his template and therefore wishes to sketch the dart board only in Quadrant I.At the closest points, he wants Circle 5 to be 1 unit from the y-axis and 1-unit from the x-axis. In this case:
Solve the problem.Suppose a cold front is passing through the United States at noon with a shape described by the function 
where each unit represents 100 miles. 
Missouri is located at 
and the positive y-axis points north.N
/> 
SSuppose the front moves south 340 miles and west 120 miles and maintains its shape. Give the equation for the new front and plot the new position of the front.
A. y = 
(x - 1.2)2 - 3.4
| N |
| S |
B. y =
(x + 1.2)2 - 3.4| N |
| S |
C. y =
(x - 1.2)2 + 3.4| N |
| S |
D. y = -
(x + 1.2)2 - 3.4| N |
| S |
Provide an appropriate response.Explain why the solution of a system of equations is the point of intersection of the graphs of the equations.
What will be an ideal response?