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What is the measure of AC? Enter your answer in the box. ___°

Do not answer for points. If so, you WILL be reported and points be taken BACK. -.-

What is the measure of AC? Enter your answer in the box. ___° Do not answer for points-example-1
User Kieran
by
5.6k points

2 Answers

6 votes

Answer:

AC = 21⁰

Explanation:

arc AC has central angle 3x+9 n its inscribed angle <ABC is 3x-1.5

central angle = 2 * inscribed angle

3x+9 = 2 * (3x-1.5)

3x+9 = 6x -3

3x = 12

x = 4

so arc AC = (3*4 + 9) = 21⁰

User Trenton Trama
by
6.4k points
4 votes
3x - 1.5 = 1/2(3x+9)
2(3x - 1.5) = 3x + 9
6x - 3 = 3x + 9
3x = 12
x = 4

arc AC = 3(4) + 9 = 12 + 9 = 21

answer
21
User Shenell
by
5.8k points