A survey of 512 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found: 159 watched TV 157 hung out with friends 30 watched TV and ate pizza, but did not hang out with friends 30 watched TV and hung out with friends, but did not eat pizza 48 hung out with friends and ate pizza, but did not watch TV 27 watched TV, hung out with friends, and ate pizza 69 did not do any of these three activities How may 18-24 year olds (of these three activities) only ate pizza last Friday night?

97

There are 97 people who ate pizza (of these three activities) last Friday night.

Step-by-step explanation:

We have

A= 159 watched TV

B=157 hung out with friends

C=30 watched TV and ate pizza, but did not hang out with friends

D=30 watched TV and hung out with friends, but did not eat pizza

E= 48 hung out with friends and ate pizza, but did not watch TV

F=27 watched TV, hung out with friends, and ate pizza

G= 69 did not do any of these three activities

We find out the number of people eating pizza by deducting the number of people not eating pizza from the total number.

So people not eating pizza are listed as A, B, D, G

Total = 512

Those who only ate pizza= total - (A+B+D+G)

                                           = 512 - (159+157+30+69)

                                           = 512- 415= 97

There are 97 people who ate pizza (of these three activities) last Friday night.

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)