Segments bc and de are parallel. find x
a. 5
b. 4
c. 6
d. 7

C. 6  

Step-by-step explanation:

∆ABC and ∆ADE are similar triangles.

                       AB/AC = AD/AE

(x - 1 + x + 2)/(15 + 24) = (x - 1)/15

                 (2x + 1)/39 = (x - 1)/15         Multiply each side by 39

                        2x + 1 = 39(x - 1)/15     Multiply each side by 15

                   15(2x + 1) = 39(x - 1)         Distribute 15 and 39

                    30x + 15 = 39x - 39        Add 39 to each side

                   30x + 54 = 39x               Subtract 30x from each side

                              54 = 9x                Divide each side by 9

                                x = 6

Check:

(6 - 1 + 6 + 2)/(15 + 24) = (6 - 1)/15

                          13/39 = 5/15

                                ⅓ = ⅓

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

the ordered pairs for the given function are of the form