Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties.A triangle with sides of length 19 cm, 9 cm, and 26 cm

A. No such triangle can be constructed.
B. Exactly one such triangle can be constructed.
C. Two or more such noncongruent triangles can be constructed.


Answer: B

Mathematics

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Add the given vectors.

A. R = 4400, ? = 34° B. R = 2200, ? = 55° C. R = 4400, ? = 214° D. R = 1800, ? = 235°

Mathematics

Find the indicated probability.If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head?

A.
B.
C.
D.

Mathematics

Solve the problem.Sales (in thousands) of a certain product are declining at a rate proportional to the amount of sales, with a decay constant of 21% per year. Write a differential equation to express the rate of sales decline.

A. dy/dt = -0.21y B. dy/dt = -0.21t C. dy/dt = e-0.21t D. dy/dt = -0.79y

Mathematics

Solve the problem.The graph depicts a relationship between scores achieved on an unspecified standardized test and family income. Suppose the score for a test is 485 when the family income is $25,000 and is 525 when the family income is $55,000. Let x be the income, in thousands, and y be the score of the test. Graph the two given pairs of incomes and scores. Assume that the relationship is linear. Draw a line though the two previous points. From your graph, estimates the score if the family income is $40,000. Label the axes, and show where the solution is located on the graph.

A.  

Standardized test score: 545
B.

Standardized test score: 565
C.

Standardized test score: 505
D.

Standardized test score: 525

Mathematics