You and your friend race from point A to point C . You run from A to B and then from B to C . Your friend runs from A to D and then from D to C . You run at an average rate of 7.8 miles per hour and your friend runs at an average rate of 8.1 miles per hour. Is it possible to determine who wins the race?

Explanation:

Looking at the image, if both friends had ran at the same speed rate, the match would've ended as a draw. However, my friend had ran faster than I did, therefore, my friend would've won the race due to speed.

Hoped this helped.

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.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.