Classify each pair of angles listed below as adjacent or vertical.
1 answer:
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Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
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If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
Answer:
a) The next three terms are -1,-3,-5,-7,-9,-11,-13
b) This is arithmetic sequence
C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.
d) The 27 th term is -53
Step-by-step explanation:
a) the given sequence is arithmetic sequence
the difference of second term and first term is -2
given sequence is -1,-3,-5,-7.....
the nth term in arithmetic sequence
First term is a = -1 and difference is d = -2
finding fifth term is
finding sixth term is
finding seventh term is
The next three terms are -9,-11,-13
The given sequence is -1,-3,-5,-7,-9,-11,-13
b) This is arithmetic sequence.
C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.
d) by using nth term formula in arithmetic sequence
a= -1 and d =-2
<u>find 27 t h term :-</u>
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