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sergij07 [2.7K]
1 year ago
7

If the lengths of two sides of a right triangle are $5$ and $12$ units, what is the least possible length, in units, of the thir

d side
Mathematics
1 answer:
Goryan [66]1 year ago
7 0

The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.

According to the given question.

We have a right angled triangle with the two side lengths 5 unit and 12 unit.

From the properties of a triangle we know that " the sum of the length of the two sides of a triangle is greater than the length of the third side". Or " the difference between the two sides of a triangle is less than the length of the third side".

Let the third side of the triangle be x units.

So, by the properties of a triangle we can say that

12 - 5 < x

⇒ 7 < x

And 12 + 5 > x

⇒ 17 > x

Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.

Find out more information about properties of a triangle here:

brainly.com/question/27711437

#SPJ4

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Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ
Nimfa-mama [501]

Answer:

In year 2030 the population is predicted to be 71.75 million

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Using data from 2010 and projected to 2020, the population of

 the United Kingdom (y, in millions) can be approximated by the

 equation  10.0 y − 4.55 x = 581

- x is the number of years after 2000

- We need to know in what year the population is predicted to be

  71.75 million

* <em>Lets substitute the value of y in the equation by 71,75</em>

∵ The equation of the population is 10.0 y - 4.55 x = 581

∵ y = 71.75

∴ 10.0(71.75) - 4.55 x = 581

∴ 717.5 - 4.55 x = 581

- Subtract 717.5 from both sides

∴ - 4.55 x = - 136.5

- Divide both sides by - 4.55

∴ x = 30

∵ x represents the number of years after 2000

∵ 2000 + 30 = 2030

∴ In year 2030 the population is predicted to be 71.75 million

6 0
3 years ago
I will give BRAINIEST to the next person who answers this!!
sertanlavr [38]

Answer:

<u>Challenge #1:</u>

<u>Different examples:</u>

2x+1=3x+2

4x+3=5x+4

3x+2=4x+3

<u>Challenge #2:</u>

<u>Different examples:</u>

2x+0=4x+1

3x+1=2x+5

6x+5=8x+6

4 0
3 years ago
Read 2 more answers
$250 is invested at a bank that pays 7% simple interest. Calculate the amount of money in the account after 1 year,
allochka39001 [22]

Answer:

267.5

302.5

372.5

600

Step-by-step explanation:

Simple interest

PV(1+it)

1 year:

250(1+.07)

267.5

3 years:

250(1+.07*3)

302.5

7 years:

250(1+.07*7)

372.5

20 years:

250(1+.07*20)

600

6 0
2 years ago
What is x - 3y = 3? any one know?
Sunny_sXe [5.5K]

Answer:

If we are solving for x it is:

x = 3y + 3

If we are solving for y it is:

x - 3 = 3y

3y = x - 3

y = (x-3)/3

3 0
3 years ago
Please help me i need to reconcile but it is hard, thank you
Elina [12.6K]

Answer:

Step-by-step explanation:

Add the first two columns - third column. See if it equals last column.

Number one is correct, number 2 is off by $1.00,etc

let me know if you are still confused

5 0
3 years ago
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