ABC congruent DEF find the measure of the given angles or the lengths of the given sides

BC = 8 and EF = 8

Step-by-step explanation:

Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas.

Let us solve the question

∵ The two triangles ABC and DEF are congruent

∴ BC = EF

∵ BC = 3z + 2

∵ EF = z + 6

→ Equate their length

∴ 3z + 2 = z + 6

→ Subtract z from both sides

∵ 3z - z + 2 = z - z + 6

∴ 2z + 2 = 6

→ Subtract 2 from both sides

∵ 2z + 2 - 2 = 6 - 2

∴ 2z = 4

→ Divide both sides by 2

∴ z = 2

→ Substitute z by 2 in the length of sides BC and EF to find them

∵ BC = 3(2) + 2 = 6 + 2

∴ BC = 8

∵ EF = 2 + 6

∴ EF = 8

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