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MakcuM [25]
3 years ago
10

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

Mathematics
2 answers:
andrezito [222]3 years ago
5 0
To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
Sholpan [36]3 years ago
4 0

Answer:

41

Step-by-step explanation:


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