The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer: $55.33
Step-by-step explanation: In order to solve this promblem, add all the monthly gas bills and take that result and divide it by the numbe rof months, to get the anerage gas bill expense
Answer:
Step-by-step explanation:
Given
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See attachment for grid
Solving (a): The coordinates of K
The parallelogram has the following diagonals: IJ and HK
Diagonals bisect one another. So:
Midpoint of IJ = Midpoint of HK
This gives:
Multiply through by 2
By comparison:
Solve for x and y
So, the coordinates of k is:
The length of JK is calculated using distance (d) formula
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So:
Hence:
