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BigorU [14]
3 years ago
6

How do you tell if it's possible to make a triangle out of these side lengths? PLZ HELP!!!!!

Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

A

Step-by-step explanation:

square root of 73 is about 8.5

square root of 10 is about 3. multiply by 3, you get 9.

square root of 7 is about 2.6. multiply by 5, you get 13.

when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.

8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.

side note: the smallest side length will always correspond with the smallest angle.

hope this helps :)

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2 numbers are in the ratio 1:2 if the first number is decreased by 5 and second number is increased by 4 their ratio becomes 5:4
Anna35 [415]

Answer:

-20/3 & -40/3

Step-by-step explanation:

Let’s say that the 1st number is X and the 2nd number is Y.

Given that x:y = 1:2 => x/y = 1/2 => 2x = y

and a-5/y+4 = 5/4 (The first number is decreased by 5 and the second number is increased by 4.)

=> 4(x - 5) = 5 (y + 4)

=> 4x - 20 = 5y + 20

=> 4x - 5y = 40

As, 2x = y , 4x = 2y

=> 2y - 5y = 40

=> -3y = 40

=> y = -40/3 ; x = y/2 = -20/3

This might be confusing but I hope this helps :)

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Answer:

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Step-by-step explanation:

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Esther ate seven less than six times as many jelly beans as Jake. Esther ate 77 jelly beans. How many jelly beans did Jake eat?
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Read 2 more answers
Pls answer the question
mariarad [96]

Option C:

(11 + 8) + 1 = 11 + (8 + 1)

Solution:

Let us first define the associative property of addition.

<u>Associative property of addition:</u>

(a + b) + c = a + (b + c)

Option A: 5 + 3 = 3 + 5

This represents a commutative property of addition.

i.e. a + b = b + a.

So, it is not true.

Option B: 6 + 1 = 6 + 1

This is not under the property of associative.

It is not true.

Option C: (11 + 8) + 1 = 11 + (8 + 1)

(a + b) + c = a + (b + c)

This reflects the associative property of addition.

It is true.

Option B is the correct answer.

Hence (11 + 8) + 1 = 11 + (8 + 1) illustrates the associative property of addition.

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