Angle measure labeled a
The arc mesure labeled c

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.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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