The pair of triangles is similar. Determine the three pairs of corresponding sides.
A. a corresponds to f
b corresponds to e
c corresponds to d
B. a corresponds to e
b corresponds to d
c corresponds to f
C. a corresponds to f
b corresponds to d
c corresponds to e
D. a corresponds to d
b corresponds to f
c corresponds to e
Answer: B
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Angela and Ben want to divide fairly the chocolate-strawberry cake shown below. The total cost of the cake was $6.00. Angela values strawberry three times as much as she values chocolate, while Ben values chocolate twice as much as he values strawberry.
Which of the following is a fair division of the cake?
A. Angela gets the piece shown below, Ben gets the remaining piece.
B. Angela gets the chocolate half, Ben gets the strawberry half.
C. Angela gets the strawberry half, Ben gets the chocolate half.
D. Angela gets the piece shown below, Ben gets the remaining piece.
E. none of these
Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Find the exact value of the integral.
?
?
A.
B. ?
C. ?
D. ?
Solve the system. x + y + z = 1 x - y + 4z = -42x + y + z = -3
A. (1, -4, 4) B. (-4, 4, 1) C. (1, 4, -4) D. No solution
Solve the equation. Express radicals in simplest form.(x + 4)2 - 6 = 0
A. 2, 10
B. 4 ±
C. -2 ±
D. -4 ±