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What is the measure of AC?

What is the measure of AC?-example-1

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Answer:

AC = 41

Explanation:

Inscribed Angle = 1/2 Intercepted Arc

4x-3.5 = 1/2 ( 4x+17)

4x-3.5 = 2x+8.5

Subtract 2x from each side.

4x-2x-3.5 = 2x-2x+8.5

2x -3.5=8.5

Add 3.5 to each side.

2x-3.5+3.5 = 8.5+3.5

2x = 12

Divide by 2.

2x/2 = 12/2

x=6

Now we can find the measure of AC

AC = 4x+17

=4*6+17

=24+17

=41

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