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elixir [45]
3 years ago
14

I NEED THIS ASAP Are two regular hexagons always congruent? Explain your answer

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0
The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.
Savatey [412]3 years ago
3 0
They come in many different sizes so they are not always congruent but they are always similar
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If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.
UNO [17]

Answer:

  192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

__

The value of 80% of the number will be the sum of 55% and 25% of the number.

  n×80% = n×55% +n×25%

  n×80% = 132 +60

  n×80% = 192

80% of the number is 192.

_____

<em>Additional comment</em>

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

__

If you were interested, you could determine 100% of the number to be ...

  132/n = 55/100   ⇒   n = 132(100/55) = 240

or

  60/n = 25/100   ⇒   n = 60(100/25) = 240

Then ...

  0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

  80%/55% = n/132   ⇒   n = 132(80/55) = 192 . . . . 80% of the number

  80%/25% = n/60   ⇒   n = 60(80/25) = 192 . . . . 80% of the number

__

"Look carefully" includes thinking about the ways the <em>givens</em> and the <em>finds</em> are related.

4 0
2 years ago
Identify an equation in slope-intercept form for the line parallel to y = -3x + 7
melisa1 [442]
Correct Answer is B!!!
4 0
3 years ago
Square root of 75 plus square root of 3
olya-2409 [2.1K]
Answer:
6√3

Explanation:
Before we begin, remember the following:
\sqrt{a*b} = \sqrt{a}  *  \sqrt{b}
m \sqrt{a} + n \sqrt{a}  = (m+n) \sqrt{a}

Now, for the given:
75 can be written as 25*3
This means that:
\sqrt{75} = \sqrt{25*3}
Applying the above concept, we can find that:
\sqrt{75} = \sqrt{25*3} = \sqrt{25}  *  \sqrt{3}
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Based on the rule of 72 how long will it take to double your money if you earn 7.2% interest
Readme [11.4K]

Answer:

0.8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
11 Yesterday 170 guests at a hotel called for room service, and 255 guests did not call for room
-Dominant- [34]

Answer:

The percentage of the guests at this hotel called for room service yesterday is 40%

Step-by-step explanation:

We are given

total number of guests called for room services =170

total number of guests did not called for room services =255

now, we can find total number of guests

Total number of guests =(total number of guests called for room services)+(total number of guests did not called for room services)

so,

total number of guests is

=170+255

=425

now, we can find percentage

percentage of the guests at this hotel called for room service yesterday is

%

So,

The percentage of the guests at this hotel called for room service yesterday is 40%

5 0
3 years ago
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