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3 years ago

the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

$138+x+x=180 \iff 2x=42 \iff x=21$

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

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3 years ago

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Step-by-step explanation:

A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.

"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"

So in the given options

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√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

$\sqrt{10}=3.16227766016837933....$

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

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√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

$\sqrt{36} = 6$

Which can be written in the required form so √36 is a rational number

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The irrational numbers are: √8, √10 and √15

Keywords: Rational numbers, Irrational numbers

Learn more about rational numbers at:

#LearnwithBrainly

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