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:
A. (2, -3).
Step-by-step explanation:
The first step is to complete the square on the terms in x and the terms in y:
x² - 4x +4 +y² +6y + 9 =4
= (x - 2)² - 4 + (y + 3)² - 9 + 4 + 9 = 4
= = (x - 2)² + (y + 3)² - 9 + 9 - 4 + 4 = 4
= (x - 2)² - (y + 3)² = 4.
So the centre is at (2, -3).
Answer:x is 1
Step-by-step explanation:
We know, area = length * width
56 = l * 4
l = 56 / 4
l = 14
So, the length is 14
Hope this helps!
Answer:
25 x 4 = 100
8 x 4 = 32 %
Step-by-step explanation:
