Statement Reason 1
WY
∥
TV
Given
2 ∠YXZ≅∠VUX
Angles forming a linear pair sum to 180°
Converse of Corresponding Angles Postulate
Corresponding Angles Postulate
Definition of supplementary angles
Vertical Angle Theorem
3 m∠SUV+m∠VUX=180° Angles forming a linear pair sum to 180°
4 m∠SUV+m∠YXZ=180° Substitution

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.

The sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find the speeds of each.

Consider an example of a deck of 52 cards: example set of 52 playing cards: 13 of each suit clubs, diamonds, hearts, and spades ace 2 3 4 5 6 7 8 9 10 jack queen king clubs diamonds hearts spades what is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.