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zysi [14]
3 years ago
9

In circle F, what is the measure of arc CB?

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer:

70° is the measure of arc CB

Step-by-step explanation:

In circle F

F is center of circle.

We need to find arc CB. It would be also same as central angle of CB at F (∠CFB)

∠CAB=35°

We can see ∠CAB and ∠CFB lie on same arc but ∠CAB on circle and ∠CFB at center.

If two angles subtended on same arc then the angle at the center is twice the angle at the lie on circle.

∴ ∠CFB = 2 ∠CAB

But ∠CAB = 35°

∠CFB=2 x 35° = 70°

Thus, 70° is the measure of arc CB

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Answer:

x = 1.5

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Step-by-step explanation:

10x + 5(2x - 3) = 15

10x + 10x - 15 = 15

20x - 15 = 15

20x = 30

x = 1.5

y = 2(1.5) - 3

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Check:

10(1.5) + 5(0) = 15

15 + 5(0) = 15

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3 years ago
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Answer:

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Step-by-step explanation:

The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.

If two points at the ends of a straight line PQ are P(x_{1},y_{1}) and Q(x_{2},y_{2}), then the length of the segment PQ will be given by the formula  

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Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be  

\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6 units. (Answer)

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3 years ago
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