1. using the drawing, if the measure of angle 2 is 42° and the measure of angle 3 is 52°, what is the measure of angle 6? a. there isn't enough information to determine. b. 104° c. 86° d. 94° 2.if the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon? a. 3.16 b. 250.00 c. 10.00 d. 15.81

first is 86

we know because of the sum of the interior angles of a triangle being 180, and that 5 + 6 =180

 The correct options are (1) (D) 94°  and (2) (D) 15.81.

Step-by-step explanation:  The calculations are as follows:

(1) In the attached figure, given that m∠2 = 42° and m∠3 = 52°.

We are to find the measure of ∠6.

In a triangle, the sum of the measures of two remote interior angles is equal to the measure of the exterior angle.

In the given triangle,  ∠2 and ∠3 are remote interior angles and ∠6 is the exterior angle.

So, we have

Thus, (D) 94° is the correct option.

(2) Given that the areas of two similar hexagons are related to each other as 5 : 2 and one side of the first hexagon is 25.

We are to find the corresponding side in the other hexagon.

Let, 'a' and 'b' be the lengths of the corresponding sides of the two similar hexagons.

The, the ratios of the area of the hexagons will be a² : b².

So, we have

Thus, the correct option is (D) 15.81.

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

answer: 8 years

step-by-step explanation:

the explanation is that in 8 years the child will be 20 and in 8 years the father will be 40 and 20 is half of 40.