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FromTheMoon [43]
3 years ago
13

A Conjuncture and the paragraph proof used to prove the conjecture are shown

Mathematics
1 answer:
Finger [1]3 years ago
3 0

Answer:

Given

This is our initial premise.

2) Linear pairs of angles are supplementary

This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.

3)  

m

∠

A

B

C

+

m

∠

C

B

D

=

180

∘

The definition of supplementary angles is that two angles are supplementary if their measures sum to  

180

∘

.

4) Substitution of 1. into 3.

As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.

5)  

m

∠

A

B

C

=

90

∘

Subtracting  

90

∘

from each side of 4. gives us the above result.

6) Definition of right angle

Step-by-step explanation:

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Snezhnost [94]
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(10000*C)/1.05+(10000*C)/1.05^2…..(10000*C)/1.05^13=100<br> Find C?
rosijanka [135]

9514 1404 393

Answer:

  C ≈ 0.00106455765168

Step-by-step explanation:

This is the sum of 13 terms of the geometric series that has 10000C/1.05 as the first term and a common ratio of 1/1.05. The sum S is given by ...

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Using the known values, we have ...

  100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))

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3 years ago
A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angula
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The angular speed of the wheel is calculated as 52.36 radians per second

<h3>How to solve for the angular speed</h3>

The revolution of this wheel is said to be at 500 in a minute

This is also called the frequency of this wheel.

This can be written as

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Angular speed is given as

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Formular for angular speed = ω = 2*pi*f

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brainly.com/question/6860269

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