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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Answer:
y = - 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 8, 22) and (x₂, y₂ ) = (3, 0)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 0), then
0 = - 6 + c ⇒ c = 0 + 6 = 6
y = - 2x + 6 ← equation of line