The art museum had a total of 224 visitors on tuesday. visitors older than 18 paid $12 for admission. visitors 18 years or younger paid $8 for admission. the museum collected a total of $2,520. how many visitors were 18 or younger? 42 56 182 194

42 visitors were 18 or younger

Step-by-step explanation:

Let x be the number of visitors that are older than 18 and y be the number of visitors that are 18 years or younger.

The art museum had a total of 224 visitors on Tuesday, then x+y=224.

Visitors older than 18 paid $12 for admission, so x visitors paid $12x. Visitors 18 years or younger paid $8 for admission, then y visitors paid $8y. The museum collected a total of $2,520, thus,

12x+8y=2,520.

From the first equation, x=224-y. Substitute it into the second equation:

12(224-y)+8y=2,520,

2,688-12y+8y=2,520,

4y=168,

y=42

and

x=224-42=182.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.