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faltersainse [42]
2 years ago
13

Drag each label to the correct location on the chart. Not all labels will be used. Given: and are supplementary and are suppleme

ntary Prove: The two linear pairs and one supplementary angle with values of 1, 2, and 3 Statements Reasons 1. and are supplementary 1. given 2. and are supplementary 2. given 3. 3. congruent supplements theorem Complete the flow chart to show the proof. vertical angles theorem given congruent complements theorem congruent supplements theorem
Mathematics
1 answer:
Alexandra [31]2 years ago
3 0

Based on the Congruent Supplements Theorem, <1 = <3 are congruent, given that <1 and <2 and <2 and <3 are supplements.

<h3>What does the Congruent Supplements Theorem say?</h3>

The Congruent Supplements Theorem shows that when two angles are considered to be supplements of a certain angle, then those two angles must be congruent.

Filling in the chart would therefore be:

<1 and <2 are

supplementary                                               <1 = <3

<u>GIVEN     </u>                                    <u>   Congruent Supplements Theorem</u>

 

<2 and <3 are

supplementary

<u>GIVEN </u>

Find out more on the Congruent Supplements Theorem at brainly.com/question/17385360.

#SPJ1

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scoray [572]

Answer:

129.996 cubic feet

Step-by-step explanation:

Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

\pi(r)^2(h)

First, we have to find the radius, which is:

D = 2r

So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

3.14(3)^2(4.6)

Now, we solve. Exponents are first...

3.14(9)(4.6)

Now multiply left to right.

28.26(4.6)

129.996 cubic feet

Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!

3 0
3 years ago
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a cand
MArishka [77]

Answer:

Prob = 0.00009 = 0.009%  , Less Likely

Step-by-step explanation:

Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r)   .

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Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%

Less probability means Less Likely

5 0
2 years ago
(3×+5)(2×+10)=<br> then x=
katen-ka-za [31]
X= -5/3 & x=5
I got this by using the quadratic formula.
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3 years ago
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that is, two times its length and two times its width, lets solve for the width w and substitute known data:
<span>p = 2l + 2w
</span>2w = p - 2l
w = (<span>p - 2l</span>)/2
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w = (56 - 24)/2
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Step-by-step explanation:

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