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torisob [31]
3 years ago
6

List two sets of possible side lengths for two triangles, one set that forms a triangle and one set that does not.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
In any triangle, the sum of lengths of any two sides must be greater than the third side.

(1) If we chose three side lengths to be 5 cm, 7 cm and 10 cm. Let's do the check:
5+ 7 = 12 > 10
5+10 = 15 > 7
7 + 10 = 17 > 5
The sum of any two sides is greater than the third, therefore, these three side lengths can form a triangle.

(2) If we chose three side lengths to be 3 cm, 4 cm and 8 cm.Let's do the check:
3 + 4 = 7 which is not greater than 8
The condition is not fulfilled, therefore, these three side lengths cannot form a triangle.


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12x -20=n (3x-5)<br><br> I need help I don’t get it please help me.
Salsk061 [2.6K]

Answer:

The value of n = 4 and  

The value of x = \frac{5}{3}

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = \frac{5}{3}

∴ we get

n = 4 and  x = \frac{5}{3}

Now, check that value of n and x satisfies the equation or not

12(\frac{5}{3}) - 20 = 4( 3(\frac{5}{3}) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = \frac{5}{3}

5 0
3 years ago
Ahmed wrote two numbers. The first number has a 7 in its tenths place. The second number has a 7 with a value that is 1,000 time
Stels [109]

Answer: In the hundreds place.

Step-by-step explanation:

1. You know that the first number has a 7 in its tenths place. This means that it is after the decimal point. You can write is as following:

x.7

Where x represents the other digits.

2. The second number has a 7 with a value that is 1,000 times greater than the value of the 7 in the first number, this means that you can know the place of the 7 in the second number if you multiply the first number by 1,000, or in other words, move the decimal point three places to the rigth. Therefore:

x.7*1000=7xx

3. As you can see, the 7 is in the hundred place in the second number.

8 0
3 years ago
Read 2 more answers
If a sample of 5 keyboard is randomly selected what is the probability that at least 4
sertanlavr [38]
It seems like this answer is incomplete, please ask again with a complete question.
3 0
3 years ago
I think it’s the second one but I’m not sure pls help
Anarel [89]

Answer:

It is actually the first one because they are multiplying the numerator and denominator by four meaning 4/16

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE
avanturin [10]

Answer:

1. V = 130 in³

Step-by-step explanation:

1. You can find the volume of a rectangular prism with this formula:

( l • w )h

(20 • 2)3 1/4

=

130

And then add the label in³

<h3>Answer:</h3>

2. V = 20 ft³

<h3>Step-by-step explanation:</h3>

2. A box is the same as a rectangular prism.

Use the same formula to find the answer.

(4•2 1/2)2

=

20

And then add the label ft³

<h3>Answer:</h3>

3. V = 10 in³

<h3>Step-by-step explanation:</h3>

3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.

5/4 = 1 1/4 or 1.25

(1.25 • 2)2

=

10

And then add the label in³

PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!

4 0
2 years ago
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