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.

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2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

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130.66 for edgedunity students