Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.
RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124
Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152
Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76
There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152
Answer:
7. combination; 25C6 = 177100
8. combination; 15C5 = 3003
Step-by-step explanation:
7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.
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8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.
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Of course, nCk = n!/(k!(n-k)!)
Multiply l x w x h for answer
