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Gemiola [76]
3 years ago
15

Help Please giving Brainliest answer!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0
Vertical angles congruence theorem, then SAS
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A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in

Part 2) The approximate value of the arc length is 13.1\ in

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ in

substitute

C=2\pi (5)

C=10\pi\ in

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in

step 3

Find the approximate value of the arc length

To find the approximate value, assume

\pi =3.14

substitute

\frac{25}{6}(3.14)=13.1\ in

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3 years ago
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Which of the following statements has the same truth value as the statement "If it is Friday, then Bruce has beans for supper."?
Andrews [41]

The contrapositive of the statement p ⇒ q is not q ⇒ not p and both the statements are equivalent.

So, the contrapositive of the statement "If it is Friday, then Bruce has beans for supper" is "If Bruce does not have beans for supper, then, it is not Friday"

This is the last statement given and is the answer.

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17 is the constant term because it does not have any variables.
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