5.4.8 suppose that [p(n) : n 2 m) are a collection of propositions as considered in the principle of strong induction. for each n 2m, let q(n) be the proposition prove that the principle of strong induction is equivalent to the principle of induction stated as follows: suppose that (a) q(l) is true. (b) vr121, q(n) → q(n + 1). then q(m) is true for all ne z2

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

The perimeter of a rectangular rug is 24 feet. the length of the rug is 1 2/5 i s width. what is the area of the rug