Triangle def is isosceles, angle d is the vertex angle, de=x+7, df=3x-1, and ef=2x+5

The three sides of isosceles triangle are DE = DF = 11 unit , and EF = 13 unit

Step-by-step explanation:

Given as :

DEF is a isosceles Triangle , with vertex D

The three sides is as

DE = x + 7

DF = 3x - 1

EF = 2x + 5

∵ DEF is an isosceles triangle then two of its sides must be equal

So , Let DE = DF

Or,     x + 7 = 3x - 1

Or,      7 + 1 = 3x - x

Or,            8 = 2x

∴               x = 4

So, The measure three sides of isosceles Triangle are :

DE = x + 7 = 4 + 7 = 11   unit  

DF = 3x - 1 = 3×(4) - 1 = 11   unit

EF = 2x + 5 = 2×(4) + 5 = 13   unit

Hence The three sides of isosceles triangle are DE = DF = 11 unit ,  and EF = 13 unit    Answer

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step-by-step explanation:

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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