Supply the missing reasons and statements in the proof. Line xv intersecting line wy at point z

Statement Reason
LaTeX: \angle WZX\cong\angle WZV∠ W Z X ≅ ∠ W Z V Given
LaTeX: \angle WZX\:∠ W Z Xand LaTeX: \angle WZV\:∠ W Z Vare a linear pair.
[ Select ]
LaTeX: m\angle WZX+m\angle WZV=180m ∠ W Z X + m ∠ W Z V = 180
[ Select ]
[LaTeX: m\angle WZX=m\angle WZX=90m ∠ W Z X = m ∠ W Z X = 90] Supplementary congruent angles are right angles.
[LaTeX: WY\perp VXW Y ⊥ V X] Definition of Perpendicular Lines

There are several unique characteristics of qualitative research that make it distinct from quantitative research. describe the aspects of qualitative research and the elements of design that contribute to the rigor of the work. what actions of the researcher can compromise the integrity of the findings?

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Factor the polynomial. b^2 + 4b + 4