Solve the problem.A rectangular Persian carpet has a perimeter of 164 inches. The length of the carpet is 18 in. more than the width. What are the dimensions of the carpet?

A. Width: 73 in.; length: 91 in.
B. Width: 64 in.; length: 82 in.
C. Width: 32 in.; length: 50 in.
D. Width: 50 in.; length: 68 in.


Answer: C

Mathematics

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Find the quotient q and a remainder r when a is divided by b, and write the result in the form a = bq + r of the division algorithm for the given choices of a and b.a = 208, b = 6

A. 208 = (6)(34) B. 208 = (6)(34) + 4 C. 208 = (6)(38) D. 208 = (6)(34) + 5

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Verify the identity.  = cot 

What will be an ideal response?

Mathematics

Solve the inequality and give the solution set.|x| < -6

A. ?
B. {x|-6 < x < 6}
C.
D. {-6}

Mathematics

Factor the four-term polynomial by grouping.xy - 5yz + 7x - 35z

A. (y - 7)(x + 5z) B. (y + 5)(x - 7z) C. (y + 7)(x - 5z) D. (y - 5)(x + 7z)

Mathematics