Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
Answer:
266 tickets
Step-by-step explanation:
Ratio of adult tickets to child tickets is 4 : 3
So, if we think of these as "parts", there are 4 parts adult tickets and 3 parts child tickets.
In total there is:
4 + 3 = 7 parts
Now, given 152 adult tickets. If there are 4 parts of adult tickets, how much is each part worth?
152/4 = 38
Total amount of tickets is 7 of these "parts", so total number of tickets is:
38 * 7 = 266 tickets
Area formula for a triangle is 1/2BxH
B=15
H=10
1/2(15)= 7.5
7.5 x 10= 75
So the area is 75 square cm :)
Yes, they are the same slope because the line is straight so it has no edges.
I think
But this is my work and i explained it
HOPE THIS HELP YOU!!!
;)
If you apply the or both
Only 1 of the students would need to know the "or both", therefore maximizing the remaining amount of students you can put in.
Gerald, let's call him, knows French AND German, so there's only one less student that knows french and german. Gerald is 1 student.
MAXIMUM:
There are now 14 monolinguistic French speakers and 16 monolinguistic German's, 30 students + Gerald=31.
Minimum:
As a bonus, the minimum is 15 students knowing french AND German and only 2 monolinguistic German speakers, so 17.
