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Mekhanik [1.2K]
2 years ago
11

An inscribed angle in a circle intercepts an arc whose measure is greater than 180

Mathematics
1 answer:
never [62]2 years ago
4 0

Answer:

The correct option is;

Never acute

Step-by-step explanation:

When an angle intercepts an ark, we have;

The legs of the angle meets with the endpoints of the arc

Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle

By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle

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Explain how you would convert a measurement given in ounces into pints
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In the figure LMV is similar to UTK. what's the value of x the length of side LM?​
Kipish [7]

To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.

Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).

Corresponding pairs:

LM(x) : UT(39)

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However, we need only be interested in the first two pairs. Here is the proportion with letters:

LM / UT = MV / TK

and as numbers:

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Solve for x:

x / 39 = 30 / 65

Cross multiply:

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Simplify:

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Divide:

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Simplify:

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<h2>Answer:</h2>

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and the < sign means less than or equal to. Hope this helps!

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