The coordinates of the vertices of δpqr are (–2, –2), (–6, –2), and (–6, –5). the coordinates of the vertices of δpʹqʹrʹ are (−2, 2), (−6, 2), and (−6, 5). this transformation can be expressed as (x, y) → (x, −y).is δpqr congruent to δpʹqʹrʹ? why or why not? answers: no, δpʹqʹrʹ is a reflection of δpqr over the x-axis. yes, δpʹqʹrʹ is a reflection of δpqr over the x-axis. yes, δpʹqʹrʹ is a reflection of δpqr over the y-axis. no, δpʹqʹrʹ is a reflection of δpqr over the y-axis.

Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis

The problem statement tells you the transformation is ...

... (x, y) → (x, -y)

Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a reflection of the other across the x-axis.

Along with translation and rotation, reflection is a transformation that does not change any distance or angle measures. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)

An object that has the same length and angle measures before and after transformation is congruent to its transformed self.

So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497