Given statement is "What is the intersection of the given lines AE and DE?".
That gives us information that there are two lines named AE and DE which intersect each other. Now we have to find their intersection point.
If you see carefully the name of both lines AE and DE then you will find that; they have common letter "E" in their name.
That means point "E" lies on both lines.
We know that intersection point always lies on both lines.
Which proves that point "E" is the intersection point.
Hence choice "<u>B. Point E" </u>is the final answer.
It is given that the bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. Thus, there are four colors of cards. So, in randomly a card there are just four possible outcomes. The outcomes are:
1. A Blue Card
2. A Green Card
3. A Red Card
4. A Yellow Card
Their probabilities of occurrence will differ but it is a fact that there will be just four possible outcomes.
Answer: 43.5
Step-by-step explanation:

Answer: B) a + c = 10
8a + 5c = 59
Step-by-step explanation:
We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.
The third angle is 105.
How do I know this?
Add 22 and 53:
22 + 53 = 75
All interior angles on a triangle should add up to 180.
Subtract 75 from 180:
180 - 75 = 105
105 is our answer.
Hope this helps! =)