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12345 [234]
2 years ago
12

Fill in the blanks to complete the proof

Mathematics
1 answer:
-BARSIC- [3]2 years ago
5 0

The blanks in this two-column proof should be filled as follows:

<u>Statements                                             Reasons</u>_______________

m∠1 = m∠3                                                Given

m∠CBA = m∠ABE + m∠CBD            Angle Addition Postulate  

m∠ABE = m∠3 + m∠2              Substitution Property of Equality          

m∠CBD = m∠3 + m∠2              Substitution Property of Equality

m∠ABE ≅ m∠CBD                    Transitive Property of Equality

<h3>What is the Angle Addition Postulate?</h3>

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

Read more on Angle Addition Postulate here: brainly.com/question/24746945

#SPJ1

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A heavy rope, 30 ft long, weighs 0.4 lb/ft and hangs over the edge of a building 80 ft high. Approximate the required work by a
gizmo_the_mogwai [7]

Answer:

180 fb*lb

45 ft*lb

Step-by-step explanation:

We have that the work is equal to:

W = F * d

but when the force is constant and in this case, it is changing.

 therefore it would be:

W = \int\limits^b_ a {F(x)} \, dx

Where a = 0 and b = 30.

F (x) = 0.4 * x

Therefore, we replace and we would be left with:

W = \int\limits^b_a {0.4*x} \, dx

We integrate and we have:

W = 0.4 / 2 * x ^ 2

W = 0.2 * (x ^ 2) from 0 to 30, we replace:

W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)

W = 180 ft * lb

Now in the second part it is the same, but the integral would be from 0 to 15.

we replace:

W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)

W = 45 ft * lb

6 0
3 years ago
a shopper paid $52 for a handbag during a sale. The handbag was priced at 65% off its original price. Which equation can be used
aleksklad [387]
52 ×.65= X The answer would be $80. Hope i could be helpful :)
8 0
3 years ago
If a hat and cost 110 and the costs 100 more than the hat, how much does the coat cost
sladkih [1.3K]

*Just a FYI, I am going to assume that you want to put the word coat between "and" and "110", and also "costs" and "100".

If a hat and a coat combined is 110 dollars, it is like this-

H=hat

C=coat

H+C= $110

If the coat costs 100 more than the hat, it is like this-

110-*100= h

* We replaced the c with 100

So we know that the coat costs 100, and since it is up to 110, it is automatically assumed that the coat is 100.

110-100 is 10, so the coat costs 100 dollars, while the hat costs 10.

Coat is 100, Hat is 10

Hope it helped!

7 0
4 years ago
Please help me on this Sheet exami
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What sheet??
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3 0
3 years ago
Read 2 more answers
Please help I'm confused with this problem
horrorfan [7]
When you see anything raised to the 1/2, it is just the square root. Similarly, anything raised to the 1/3 is the cubed root, and so on.  

All the question is asking for is the square root of 64.<span />
4 0
4 years ago
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