Atriangle rpq is shown. s is a point on side pq and t is a point on side pr. points s and t are joined using a straight line. the length of ps is equal to 3x, the length of sq is equal to 24, the length of pt is equal to 51 and the length of tr is equal to 34.dora is writing statements as shown to prove that if segment st is parallel to segment rq, then x = 12.statement: 1. segment st is parallel to segment qr.2. angle qrt is congruent to angle stp.3. angle spt is congruent to angle qpr.4. triangle spt is similar to triangle qpr.5. (3x + 24): 3x =reason: 1. given.2. corresponding angles formed by parallel lines and their transversal are congruent.3. reflexive property of angles.4. angle-angle similarity postulate.5. corresponding sides of similar triangles are in proportion. which of the following can she use to complete statement 5? a. 85: 51b. 3x: 85c. 3x: 51d. 34: 24

answer: a.   one is a factor of every whole number since every number is divisible by itself.

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