What is the range of the ages shown in the stem-and-leaf plot? age of college proffessors 3|0,2 4|1,4,4,5 5|3,5,8,9 6|2,2,2,5,6,8 7|5,5,6 A. 4 B. 6 C. 35 D. 46

The range of ages is found:

D.46

Step-by-step explanation:

Age of college professors is given by a stem and leaf plot such that:

3|  0 2

4|  1 4 4 5

5|  3 5 8 9

6|  2 2 2 5 6 8

7|  5 5 6

Where the numbers on the left side shows the number at 10s place of a certain age, while number on the right side shows that number at Units place. e.g

3|  0 2

It shows ages of:

30 and 32

Find Range

Range = Largest number in stem and left plot - Smallest number in stem and leaf plot

Range = 76 - 30

Range = 46

I am trying to imagine this and it sounds like the two base angles, which are equal, are (12x+4) and (14x-2).  And since this is a triangle the sum of these two angles must be 180-100=80°

12x+4+14x-2=80

26x+2=80

26x=78

x=3

Since we know that they are equal we could also just have said:

12x+4=14x-2

-2x=-6

x=3

:P