The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.
The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.
Answer:
b. 18,650 should be the correct answer
Step-by-step explanation:
Answer: I(x)=12x
Step-by-step explanation:
Let I represent the total money earned
Let x represent the number of toys sold
Since each toy is 12 dollars, then the company will earn 12 dollars for each toy that is sold.
Therefore, the equation is,
I(x)=12x
That they are the exact same shape. Some of the sides will be longer and shorter than the other figure, but same shape.
Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:


2. Choose 3 Comedies from the 10. This is calculated as:

Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795