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3 years ago

Which of the following is the statement of the triangle inequality theorem?

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

kupik [55]3 years ago

5 0

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

$a+b > c$

case 2)

$a+c > b$

case3)

$c+b > a$

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

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Mr. X has 12 students in his math class. Last Friday they took a test covering everything that they have learned in math class s

Ierofanga [76]

1/4 of the students have a B, so there are 12 people in the class so what you would do is divide 12 by 4 and get an answer of 3 so 3 people got a B

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3 years ago

Read 2 more answers

What is the gradient of the graph shown

Keith_Richards [23]

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Answer:

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

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2 years ago

A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean

satela [25.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

water drinking habits:

mean = 62 ounces

standard deviation = 5.2 ounces

Step 02:

normally distribution:

95% ===> 2 SD

(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD

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The answer is:

51.6 ounces - 72.4 ounces

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1 year ago

The area of a rectangular tennis court is 140 square meters. It’s length is 6 meters less than twice it’s width. Find the dimens

lina2011 [118]

Let the width be : x
length : (2x - 6)

(2x - 6) (x) = 2x square - 6x

2x square - 6x = 140
2x square - 6x - 140 = 0

if you use the cross method or calculator you’ll get :

( x - 10 ) ( x + 7) = 0

x = 10 or x = -7 ( reject because negative )
so we use x = 10.

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length = 2(10) - 6 = 14

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3 years ago

Factor the expression -45x^2 +5

klemol [59]

$-45x^2 +5 \\ \\ GCF = 5 \\ \\ 5( \frac{45x^2}{5} - \frac{5}{5} ) \\ \\ -5(9x^2-1) \\ \\ -5((3x)^2-1^2) \\ \\ -5(3x+1)(3x-1) \\ \\ Answer: \fbox {-5(3x+1)(3x-1)}$

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3 years ago