Vertical angles are equal, and parallel lines have the same slope.
6. 52x
7. 0.5(n+5)
9. 33b-12
10. 17c+2
Answer:
9-foot piece is better deal by $0.03 per foot
Step-by-step explanation:
2.80/8 = $0.35 per foot (for 8-foot piece)
2.88/9 = $0.32 per foot (for 9-foot piece)
The answer would be disagree because it you reflected it over the x axis then it would be in the third quadrant
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Answer:
12870ways
Step-by-step explanation:
Combination has to do with selection
Total members in a tennis club = 15
number of men = 8
number of women = 7
Number of team consisting of women will be expressed as 15C7
15C7 = 15!/(15-7)!7!
15C7 = 15!/8!7!
15C7 = 15*14*13*12*11*10*9*8!/8!7!
15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2
15C7 = 15*14*13*12*11/56
15C7 = 6,435 ways
Number of team consisting of men will be expressed as 15C8
15C8 = 15!/8!7!
15C8 = 15*14*13*12*11*10*9*8!/8!7!
15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2
15C8 = 6,435 ways
Adding both
Total ways = 6,435 ways + 6,435 ways
Total ways = 12870ways
Hence the required number of ways is 12870ways