In a standard deck of cards, there are 13 diamond cards and 39 non diamonds. To choose 3 diamonds from 13 cards would be equivalent to 13*12*11 as there are less cards to choose from each time you remove a card. To choose two non diamonds from the other non diamonds cards would be equivalent to 39*38, taking into account the number of cards you remove each time you pick out one card. Hence the total number of ways is 13x12x11x39x38.
Answer:
1)
1. Given
2. Vertical Angles Theorem
3. SAS Congruence Postulate
2)
1. Given
2. Definition of Angle Bisector
3. Definition of Perpendicular Lines
4. All right angles are congruent.
5. Reflexive Property
6. ASA Congruence Postulate
3)
1. AC is the perpendicular bisector of PT.
2. Definition of Bisector
3. AC = AC
4. Definition of Perpendicular Bisector
5. <PCA = <TCA
6. SAS Congruence Postulate.
7. PA = TA; CPCTC
Step-by-step explanation:
None necessary.
Answer:
nonagon
Step-by-step explanation:
This polygon, with 9 sides connecting 9 points, is a nonagon.
Answer:
16.2
Step-by-step explanation:
hypotenuse = sq root (6^2 + 15^2)
= sq root (36+225)
= sq root (261)
= 16.2