Angle measure labeled a The arc mesure labeled c
2 answers:
Answer:
a = 24°
Step-by-step explanation:
Draw a radius from to the end of the chord.
The angle in the small sector is equal to the arc angle of 48°
The exterior angle is the supplement 180 - 48 = 132°
The isosceles triangle has two angles a of (180 - 132)/2 = 24°
This can be generalized to the angle between the chords is half of the arc angle when one chord is a diameter and the chords share a common endpoint.
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Part A)
Given
- Slope m = 6
- Point (7, 2)
Using the point-slope form of the line equation
where
m is the slope of the line
(x₁, y₁) is the point
In our case:
- m = 6
- (x₁, y₁) = (7, 2)
substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation
Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:
Part B)
Given
- Slope m = -3
- Point (3, 8)
Using the point-slope form of the line equation
where
m is the slope of the line
(x₁, y₁) is the point
In our case:
- m = -3
- (x₁, y₁) = (3, 8)
substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation
Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be: