Characterizing the strings in a recursively defined set.
the recursive definition given below defines a set s of strings over the alphabet {a, b}:
base case: λ ∈ s and a ∈ s

recursive rule: if x ∈ s then,
xb ∈ s (rule 1)
xba ∈ s (rule 2)
(a) use structural induction to prove that if a string x ∈ s, then x does not have two or more consecutive a's.
(b) use strong induction on the length of a string x to show that if x does not have two or more consecutive a's, then x ∈ s. specifically, prove the following statement parameterized by n:

for any n ≥ 0, let x be a string of length n over the alphabet {a, b} that does not have two or more consecutive a's, then x ∈ s.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.

the answer to your question is minor arc.