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:
Step-by-step explanation:
My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...
where the 2 in the denominator of the radical is the leading coefficient.
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You can also use other clues:
- the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
- the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.
The first answer choice is the only one with values symmetrical about -2 and one of them positive.
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You may be expected to use the quadratic formula: