Given: st ║ rp , sd ⊥ pr , sp = tr, sd = 5, st = 15, pr = 24 find: m∠p, m∠pst, m∠t, m∠r, ps, tr

Part 1)

Part 2)

Part 3)

Part 4)

Part 5) , or

Part 6) , or

Step-by-step explanation:

see the attached figure to better understand the problem

In this problem we have an isosceles trapezoid

Part 1) Find the measure of angle P

Find the value of side PD

we have that

---> by addition segment postulate

----> by isosceles trapezoid

so

substitute the given values

In the right triangle PSD

substitute the given values

Part 2) Find the measure of angle PST

we know that

In a trapezoid ST ║ RP

so

---> by consecutive interior angles

we have

substitute

Part 3) Find the measure of angle T

we know that

In this problem we have an isosceles trapezoid

so

we have

therefore

Part 4) Find the measure of angle R

we know that

In this problem we have an isosceles trapezoid

so

we have

therefore

Part 5) Find the measure of segment PS

we know that

In the right triangle PSD

Applying the Pythagorean Theorem

substitute the given values

Part 6) Find the measure of segment TR

we know that

TR=PS ---> by isosceles trapezoid

we have

therefore

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