Given: 
and 
are supplementaryProve: 
Supply missing statements and missing reasons for this proof.S1. and 
are supplementary R1.S2. R2. If the exterior sides of 2 adjacent angles form astraight line, the angles are supplementary.S3. R3. Two angles that are supplementray to the sameangle are congruent.
What will be an ideal response?
S2. 
and 
are supplementary.
S3. 
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Find the limit of the sequence if it converges; otherwise indicate divergence.an = 1 + (-1)n + (-1)n(n+1)
A. 3 B. 0 C. 1 D. Diverges
Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cot(5x - 7)
A. y = 5u - 7; u = cot x; 
= - 5 cot x csc2 x
B. y = cot u; u = 5x - 7; 
= - 5 cot(5x - 7) csc(5x - 7)
C. y = cot u; u = 5x - 7; 
= - 5 csc2(5x - 7)
D. y = cot u; u = 5x - 7; 
= - csc2(5x - 7)
Graph the polar equation.r = 4(1 -sin ?)
A. 
B. 
C. 
D. 
Solve by the substitution method. If the system is inconsistent or dependent, say so.x + y = 8x + y = 7
A. (0, 15) B. (8, 7) C. (0, 0) D. Inconsistent