25 pts + brainliest for the first correct answer. find the value of x. answer asap.

25.  x=19

26.  16=x

27  28=x

28.  24=x

Step-by-step explanation:

25.  The two angles make a straight line  (180 degrees)

6x-17 + 3x+26 = 180

Combine like terms

9x +9 = 180

Subtract 9 from each side

9x+9-9=180-9

9x = 171

Divide by 9

9x/9 = 171/9

x=19

26.  These angles are corresponding angles and corresponding angles are equal if the lines are parallel

4x+20 = 6x-12

Subtract 4x from each side

4x-4x+20 = 6x-4x-12

20 =2x-12

Add 12 to each side

20+12 = 2x-12+12

32=2x

Divide by 2

32/2 = 2x/2

16=x

27  These are alternate interior angles and alternate interior angles are equal if the lines are parallel.

4x+30 = 6x-26

Subtract 4x from each side

4x-4x+30 = 6x-4x-26

30 = 2x-26

Add 26 to each side

30+26 =2x-26+26

56= 2x

Divide by 2

56/2 = 2x/2

28=x

28.  These are corresponding angles and corresponding angles are equal if the lines are parallel.

99=3x+27

Subtract 27 from each side

99-27 = 3x+27-27

72 = 3x

Divide by 3

72/3 = 3x/3

24=x

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

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