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
(X-7)(x-1)
Minimal x values=7,1
Not the same x value
7 is the greater minimal value
The 56th term in the sequence is 195
X = 112
Sorry I had to smoosh the image so it would fit.
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▹ Answer
<em>4115</em>
▹ Step-by-Step Explanation
1 + 1 + 4⁶ + 7 + 5 + 2 + 1 + 1 + 1
1 + 1 + (2²)⁶ + 7 + 5 + 2 + 1 + 1 + 1
= 4115
Hope this helps!
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