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:
Step-by-step explanation:
you need to find the distance between points L, M, N to know the length of sides LM, MN, NL
use the distance formula
d= √(x2-x1)² +(y2-y1)², where the points are (x1, y1) and (x2, y2)
LM = √(4-1)² + (-3- -3)² = √3² + 0² = 3
MN = √(1-1)² + (-3-0)² = √0² + 9 = 3
NL = √(4-1)² + (-3-0)² = √3² + 9 = √18 = 3√2
The perimeter is LM+MN+NL = 3+3+3√2 = 6+3√2 ≈ 10.243
1 square yard= 9 square feet; 90 ÷ 9= 10; 10 × 11= $110
The answer is $110.
Seven times one equals seven itself. 'Cause any number times 1 is it's number itself
The answer is 31 you have to put the numbers in order the cross from low to high then divide by 2 to get 31
