9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
- the angle where chords meet is half the sum of the measures of the intercepted arcs
- the angle where secants meet is half the difference of the measures of the intercepted arcs
The first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
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2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
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3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
Answer: The answer would be 8.66 when rounded to the nearest hundredth.
Step-by-step explanation:
10 refers to the number of 100's
multiple 10 by 100 to get 1000
Answer:
(1, 1 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 graphs.
Here the point of intersection is at (1, 1 )
Thus the solution to f(x) = g(x) is (1, 1 )
Answer:
Pt. 1: D
Pt. 2: what are the options for part 2?
Step-by-step explanation: