Determine whether the triangles in the given pair are congruent. If so, state the property that shows the triangles are congruent.

A. congruent; SAS
B. congruent; AAS
C. congruent; ASA
D. not congruent


Answer: B

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = ln (x2y - x)

A.  =  = - ;   =  = - 
B.  =  = - ;   =  = - 
C.  =  = ;   =  =  
D.  =  = - ;   =  = - 

Mathematics

Add or subtract as indicated. Express the answer in pounds and ounces.23 lb 14 oz - 15 lb 9 oz

A. 7 lb 5 oz B. 39 lb 7 oz C. 38 lb 7 oz D. 8 lb 5 oz

Mathematics

Write the phrase as a mathematical expression. Use x as the variable.The sum of a number and 15

A. 15x
B. x + 15
C.
D. x - 15

Mathematics

x? = x(0.1? 0.07x ? 0.005y) , y? = y (0.05 ? 0.002x ? 0.0017y) , x (0) = 3, y (0) = 7

For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500 .

Mathematics