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MissTica
3 years ago
14

What is the length of the line?

Mathematics
2 answers:
LiRa [457]3 years ago
7 0

Answer:

When you use Pythagorean theorem, the answer is √37.

Step-by-step explanation:

belka [17]3 years ago
3 0

Answer:

\boxed{\sqrt{37} }

Step-by-step explanation:

Use Pythagorean theorem.

Create a right triangle, with legs of length 6 and 1 units. Find the length of hypotenuse.

6^2+1^2 =c^2 \\36+1=c^2 \\37=c^2 \\c=\sqrt{37}

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Given:

In circle O, m∠R = 30.8°.

To find:

The m∠NOQ

Solution:

Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.

Angle NOQ and angle NRQ are on the same arc but ∠NOQ is the central angle and ∠NRQ is the subtended angle on the arc NQ.

Using central angle theorem, we get

m\angle NOQ=2\times m\angle NRQ

m\angle NOQ=2\times m\angle R

m\angle NOQ=2\times 30.8^\circ

m\angle NOQ=61.6^\circ

Therefore, m\angle NOQ=61.6^\circ.

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