In the diagram below of triangle npq, r is a midpoint of np and s is a midpoint of pq. if rs = 47 - 5x, and nq = 5x - 11, what is the measure of rs?

Therefore the measure of RS is 12 unit.

Step-by-step explanation:

Given:

In ΔNPQ,

R is a midpoint of NP and

S is a midpoint of PQ.  

RS = 47 - 5x, and NQ = 5x - 11

To Find:

RS = ?

Solution:

Mid Point Theorem:

The line segment joining the midpoints of two sides of a triangle is parallel to the third side and is equal to one half of the third side.

Here ,R is a midpoint of NP and

          S is a midpoint of PQ.  

∴

Substituting the values we get

Now Substituting ' x ' in RS we get

Therefore the measure of RS is 12 unit.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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