Write the converse, inverse, and contrapositive of “If Ed is Sue’s father, then Liu is Sue’s cousin.”

What will be an ideal response?


Converse: If Liu is Sue’s cousin, then Ed is Sue’s father.
Inverse: If Ed is not Sue’s father, then Liu is not Sue’s cousin
Contrapositive: If Liu is not Sue’s cousin, then Ed is not Sue’s father.

Mathematics

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Find the LCM.60, 80, 50

A. 240 B. 600 C. 400 D. 1200

Mathematics

Transform the equation to a form without an xy-term by a rotation of axes and then identify the curve.3x2 + 4xy = 36

A.  +  = 1; ellipse
B.  -  = 1; hyperbola
C.  -  = 1; hyperbola
D.  -  = 1; hyperbola

Mathematics

Solve the problem.The Grants have saved $12,800 for a down payment. If a 32% down payment is required, what price house can they buy? Round to the nearest dollar.

A. $40,000 B. $4096 C. $409,600 D. $400

Mathematics

Provide an appropriate response.Find the area of the region bounded by the given equations: y = x2 + 6x + 10 and y = x + 6

Fill in the blank(s) with the appropriate word(s).

Mathematics