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Arte-miy333 [17]
3 years ago
8

Triangle ABD is congruent to Triangle DFE. If the length of line segment BC is 5 units, what is the length of line segment EF?

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

<em>EF = 5 units</em>

Step-by-step explanation:

If ΔABC and ΔDFE are congruent, then

AB = DF

BC = FE

CA = ED

and

angles A and D are congruent

angles B and F are congruent

angles C and E are congruent


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A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

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5 0
3 years ago
The quotient of the opposite of a number squared and three
Mars2501 [29]

Answer:

"The quotient of the opposite of a number squared and 3"  

Take "the opposite of a number squared" and call it y.  

So you get "The quotient of y and 3"  

This is y/3.  

Now what is y? "The opposite of a number squared"  

Take "The opposite of a number" and call it z.  

So y is "z squared"  

Replacing y, we get z^2 / 3  

But what is z? "The opposite of a number"  

Call "a number" x.  

The opposite of x is -x.  

So z is "-x"  

Replacing z, we get (-x)^2 / 3



8 0
3 years ago
If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.999​, what is the value of ​P(Upper A overbar​)? Wh
meriva

Answer:

<h3>The event P(\overline{A}) denotes the complement of event A.</h3><h3>The value of P(\overline{A}) is 0.001</h3>

Step-by-step explanation:

Given that A denotes some event .

And also given that P(A)=0.999

<h3>To find the value of P(\overline{A}) :</h3>

Here the event P(\overline{A}) denotes the complement of event A Therefore P(\overline{A}) contains all the events that does not occur in A.

We know that the total probability is 1

So we have that

P(A)+P(\overline{A})=1

P(\overline{A})=1 -P(A)

=1-0.999

=0.001

Hence the complement of event A is P(\overline{A})=0.001

<h3>Therefore the value is P(\overline{A})=0.001</h3>

6 0
2 years ago
What is 345,973 rounded to the nearest hundred
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345973 rounded to the nearest hundred is 346000
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A one compartment vertical file is to be constructed by bending the long side of a 6 in. by 10 in. sheet of plastic along two li
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I have no idea what the answer is but add me as a friend


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