Robert is playing a game of cards with his family. If he randomly picks a card from a standard 52-card deck, the probability of drawing a heart on the first draw is .25 or 13/52. So, we can describe the event of picking a heart from a deck of cards as

1234567891011 match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m 1. j||k, m∠3 = m∠1 if lines are ||, then corresponding angles are =. 2. m∠1 = m∠2 if alternate interior angles are =, then lines are ||. 3. m∠2 = m∠3 substitution 4. l||m given

Aregular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. what is the perimeter of the new pentagon?

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x