Given triangle ABC and triangle DEF, do the conditions ?C = ?E, AC = EF, and AB = DF guarantee that triangle ABC is congruent to triangle DEF? If they are congruent, by what rule are they congruent?

A) no
B) yes; ASA Rule
C) yes; SSS Rule
D) yes; SAS Rule


A) no

Mathematics

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Solve the quadratic equation by completing the square.x2 + 8x - 11 = 0

A. {-4 - 9-4 + 9}
B. {-4 - 3-4 + 3}
C. {-8 - 3-8 + 3}
D. {4 - 34 + 3}

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Factor completely.2x2 - 6xy - 8y2

A. Prime B. 2(x + y)(x - 4y) C. 2(x - y)(x + 4y) D. (2x - 2y)(x + 4y)

Mathematics

Solve the logarithmic equation. Round to four decimal places.log3(x + 5) + log3(x - 5) = 1

A. {28.0000} B. {25.3333} C. {5.2915} D. {3.0000}

Mathematics