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Vilka [71]
1 year ago
15

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

Mathematics
1 answer:
ryzh [129]1 year ago
7 0

The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.

<h3>Which inequality explains why the three segments cannot be used to construct a triangle?</h3>

Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.

Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.

Read more on triangle inequalities;

brainly.com/question/309896

#SPJ1

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Solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​
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Answer:

Solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​we get x=2 and y=-3

Solution set = {2,-3}

Step-by-step explanation:

We need to solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​

let:

3x-2y=12--eq(1)\\x+3y=-7 --eq(2)

Finding value of x from equation 2 and putting in eq(1)

From \ eq(2)\\x+3y=-7\\x=-7-3y

Putting value of x in eq(1)

3x-2y=12\\Put \ x=-7-3y\\3(-7-3y)-2y=12\\Solving\\-21-9y-2y=12\\-11y=12+21\\-11y=33\\y=\frac{33}{-11}\\y=-3

So, we get y=-3

Now put value of y in equation 2 to find value of x

x+3y=-7\\x+3(-3)=-7\\x-9=-7\\x=-7+9\\x=2

So, we get value of x =2

So, solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 ​we get x=2 and y=-3

Solution set = {2,-3}

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