I can't seem to figure out the answer to #10. Any help? (Ignore my work)

Mathematics

1 answer:

sashaice [31]4 years ago

8 0

First I think you need to find the angle of the sector. Since it is one hour, and a clock has 12 hours, you would divide 360 by 12 to get 30. then you would do this:
(30/360)(2)(pi)(16)
you would get 8.37758041

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What are the variables if PT= 2x, TR= y+4, QT= x+2, TS=y

Brilliant_brown [7]

The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.

A key feature of the parallelogram is that the diagonals bisect each other, therefore:

PT = TR
QT = TS

With this information we can now plug in the equations and solve for the variables x and y.

PT = TR
2x = y+4
y = 2x - 4

QT = TS
x + 2 = y

We now have two equations for the variable y. With this we can solve for x.

2x - 4 = x + 2
x = 6

y = x + 2
y = 6 + 2
y = 8

Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are x = 6, y = 8.