Answer:
Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.
Step-by-step explanation:
Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.
Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.
Right angles are usually always 90 degrees, then if you are looking at right triangles, you have 45,45,90 degree triangles and 30,60,90 triangles
What question are you stuck on? or are you stuck on all of them?
Assume that the number of adult tickets is a and the number of child tickets is c.
We are given that the adult ticket is sold for 20$, the child ticket is sold for 10$ and that the total is $15,000. This means that:
20a + 10c = 15,000 ..........> equation I
We are also given that number of child tickets is 3 times that of adult's. This means that:
c = 3a .........> equation II
Substitute with equation II in equation I to get a as follows:
20a + 10c = 15,000
20a + 10(3a) = 15,000
20a + 30a = 15,000
50a = 15,000
a = 300 tickets
Substitute with the value of a in equation II to get c as follows:
c = 3a
c = 3(300)
c = 900 tickets
Based on the above calculations,
number of child tickets = 900 ticket
number of adult tickets = 300 ticket
Answer:
7.5
Step-by-step explanation:
