20.35 divided by 3 equals 6 (:
Answer: C. 375
Step-by-step explanation:
All your doing is multiplying
Answer:
Step-by-step explanation:
Statement Reason
1. ∠4 is an exterior angle of ΔABC Given
2. ∠3 and ∠4 form a linear pair Linear pair property
3. ∠3 is supplementary to ∠4 Straight line property
4. m∠3+m∠4=180° ∠3 is supplementary to ∠4
5. m∠1+m∠2+m∠3=180° Triangle sum theorem
6.m∠1+m∠2+m∠3= m∠3+m∠4 Statement 4 and 5
7. m∠1+m∠2=m∠4 Subtraction property
Answer: the number of hpurs that Fran can watch this week is lesser than 12
Step-by-step explanation:
Let x represent the number of hours of television that Fran can watch in a week.
Fran is limited to watching television less than 12.6 hours per week. She has already watched 4.2 hours, and each show is 0.7 of an hour long. The inequality representing the situation is expressed as
0.7x + 4.2 < 12.6
0.7x + 4.2 < 12.6 - 4.2
0.7x < 8.4
x < 8.4/0.7
x < 12
By inclusion/exclusion,
We have
so that
Now,
and by inclusion/exclusion,
Decompose 
into the union of two disjoint sets:
Since they're disjoint,
From the Venn diagram, we see there are 3 elements unique to 
- by the way, this is the set 
- so 
, and it follows that
Finally, we get for (a)
For (b), we have by inclusion/exclusion that
