Most of the men of delta omicron gamma play team sports, mostly on intramural teams but several on intercollegiate teams. of the members, 18 play basketball, 20 play baseball, and 23 play football. only 3 play all three sports; 9 play baseball and basketball; 8 play baseball and football; 10 play basketball and football. the other 14 members are involved in track, tennis, or swimming. how many men are in the dog house? how many man play baseball only? how many men play football and baseball but do not play basketball?

There are 51 men in DOG.

Number of men who play baseball only are 2.

Number of men who play football and baseball but do not play basketball = 19

Step-by-step explanation:

We can see from the Venn diagram attached,

n(A∩B∩F) = 3

n(A∩B) = 6

n(B∩F) = 5

n(A∩F) = 7

n(A∪B∪F) = n(A) + n(B) + n(F) - [n(A∩B) + n(A∩F) n(B∩F)] + n(A∩B∩F) + n(N)

                = 20 + 18 + 23 - (9 + 8 + 10) + 3 + 14

                = 61 - 27 + 17

                = 51

Therefore, there are 51 men in DOG.

Number of persons who play baseball only = n(A) - [n(A∩B) + n(A∩F)] + n(A∩B∩C)

= 20 - (6 + 7 + 3)

= 20 - 16

= 2

Therefore, number of men who play baseball only = 2

Number of men who play football and baseball but do not play basketball

= 8 + 5 + 6

= 19

Therefore, number of men who play football and baseball but do not play basketball = 19

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

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