Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
this is my answer but you need to check with your teacher
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Answer:
an=29.7(1/3)^(n−1)
Step-by-step explanation:
The first term, a1, is 29.7.
The common ratio, r, is 9.9/29.7 = 1/3.
The generic explicit rule is ...
an = a1·r^(n-1)
Filling in the values you have gives the explicit rule ...
an = 29.7(1/3)^(n-1)
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Please note that parentheses on the exponent are essential. Without them, the expression has a different meaning entirely.