Answer:

Step-by-step explanation:
Since
and
are equal, we can set them equal to each other:

Substitute
to solve for
:

85 = 10x+15
70 = 10x
x = 7
180-85 = 95 = z
Answer:
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: A.(o,-6). Ra,270
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Step-by-step explanation:
9514 1404 393
Answer:

Step-by-step explanation:
The first term is 2, so part of the recursive definition is ...
f(1) = 2
The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...
f(n) = 3·f(n -1)
These two parts of the definition match choice C.
1 day = 24 hours
58 days = (24)(58) = 1392 hours
60 mins = 1 hour
30 mins = 30/60 hour = 1/2 hour
Total hours Keurig takes to complete a full rotation = 1392 + 15 + 1/2 = 1407(1/2) hours.