Explain why the indicated triangles are congruent.NK = LK. ?NKM ? ?LKM. Explain how you know that NM = LM. 
What will be an ideal response?
Since NK = LK, 
? 
. ?NKM ? ?LKM is given. 
? 
. So two sides and an included angle of ?LKM are congruent to the corresponding parts of ?NKM. So ?LKM ? ?NKM by SAS. Since ?LKM ? ?NKM, 
? 
and therefore NM = LM.
Mathematics
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Find the principal unit normal vector N for the curve r(t).r(t) = (t2 + 3)j + (2t - 4)k
A. N = 
j - 
k
B. N = - 
j + 
k
C. N = 
j - 
k
D. N = - 
j + 
k
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Simplify.
? 
? 
A. 
B. 
C. 
D. 
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Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.log 3x = log 5 + log (x - 2)
A. {5}
B. 
C. 
D. {-5}
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Use a calculator to evaluate.523
A. 2704 B. 156 C. 55 D. 140,608
Mathematics