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Ede4ka [16]
3 years ago
12

Is it possible for a triangle to have sides with the given lengths: 20 m, 22 m, and 24 m? A. Yes; the sum of each pair is greate

r than the third. B. No; 202 + 222 > 242. C. No; 22 + 24 > 20. D. Yes; the sum of each pair is less than the third.
Mathematics
2 answers:
maksim [4K]3 years ago
6 0

Answer:

Option A. Yes; the sum of each pair is greater than the third.

Step-by-step explanation:

As we know triangle inequality theorem clearly states that a triangle is possible only when sum of two sides of the triangle is greater than third side of the triangle.

The given sides of the triangle are 20m, 22m and 24m.

so by theorem of inequality

22 + 20 > 24

42 > 24

Therefore, answer will be (A) sum of each pair is greater than third.

snow_lady [41]3 years ago
3 0
The correct answer is A) yes, the sum of each pair is greater than the third.

The triangle inequality theorem states that the sum of any two sides of a triangle is longer than the third side. This is true for these numbers, so this does form a triangle.
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Ahmed is working at a restaurant . His boss pays him $15.50 per tour and promises a raise of $1.25 per hour every 6 months. Whic
aksik [14]

Answer:

B

Step-by-step explanation:

you have to make chart. You have to add 1.25 to your total every 6 months.

  1. Start             $15.50
  2. 6 months     $15.75
  3. 12 months    $18.00
  4. 18 months.   $19.25
5 0
3 years ago
What is the value of x? leave your answer in simplest radical form.
Masteriza [31]

Answer:

2 sqrt(5) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

2^2 +4^2 = x^2

4+16 = x^2

20 = x^2

Take the square root of each side

sqrt(20) = sqrt(x^2)

sqrt(4*5) = x

sqrt(4) sqrt(5) =x

2 sqrt(5) =x

5 0
3 years ago
Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.
Natali5045456 [20]
First of all, you can move the +2x to the other side:
-11 = -26 - 2x

Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
 15 = -2x

Then you can divide both sides by 2:
7.5 = -x

Then you can flip the sides and the signs around:
x = -7.5

No, The answer is not -7, it is -7.5
Hope this helps! :)
4 0
3 years ago
Ohio's license plates have 4 letters followed by 3 numbers. If the same number CANNOT be repeated, how many license plates can b
spin [16.1K]

Answer:

175,760, 000 plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each

(=26^3)

and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:

26^3 x 10^4 = 175,760,000 plates

Hope this helps!

3 0
3 years ago
What’s the slope of the line? i’m marking a brainliest!
Nutka1998 [239]

Answer:

m = -2

Step-by-step explanation:

To get the slope of the line, we are going to use the 2-points slope equation form

That will be;

m = (y2-y1)/(x2-x1)

(x1,y1) = (-5,11)

(x2,y2) = (8,-15)

m = (-15-11)/(8-(-5)) = -26/13 = -2

The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;

m = (x2-x1)/(y2-y1)

It is an error of switching the numerator for the denominator

5 0
3 years ago
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