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3 years ago

What is the measure of arc AC? m< ABC = 78 degrees A.156 B.78 C.39 D.13

1 answer:

8 0

I don't see a figure, so I'll mention two possibilities. There are more possibilities. Since the arc is named arc AC, points A and C must be on the circle. Since I don't see the figure, I don;t know where point B is.

If point B is on the circle, then angle ABC is an inscribed angle. The measure of an inscribed angle is half the measure of the intercepted arc, so m<ABC = 156/2 = 78.

If point B is the center of the circle, then angle ABC is a central angle. The measure of a central angle is the same as the measure of the intercepted arc, so m<ABC = 156.

Do you have one of the two situations above?

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ss7ja [257]

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Hence, this is the required solution.

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3 years ago

The U.S. Senate has 100 members. After a certain election, there were 4 more Democrats than Republicans, with no other parties r

kakasveta [241]

Let x = # of Republicans

x + 4 = # of Democrats

x + x + 4 = 100

x = 48

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3 years ago

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irakobra [83]

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3 years ago

Determine the line symmetry for figure.

mel-nik [20]

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Step-by-step explanation:

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3 years ago

Help me plz <br><br>76° A B D с What is the measure of ZC? (Hint: just give numerical answer...

butalik [34]

Answer:

∠ACB = 38°

Step-by-step explanation:

∠ACB is an inscribed angle while arcAB is its intercepted arc

An inscribed angle is equal to half the length of its intercepted arc

Hence, ∠ACB = 1/2 the measure of arc AB

arc AB = 76°

Hence ∠ACB = 1/2 of 76

76/2 = 38

Therefore ∠ACB = 38°

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2 years ago