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Hitman42 [59]
3 years ago
6

A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third si

de? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m
Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

3. 10m

4. 14m

Step-by-step explanation:

Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.

1. 23 m

2. 4m

3. 10m

4. 14m

5. 7m

1 doesn't follow the angle inequality rule.

2 doesn't follow the angle inequality rule.

3 can be the third side.

4 can be the third side

5 doesn't follow the angle inequality rule.

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4 years ago
The sum of two consecutive natural numbers is 525.<br> Find the numbers.
Luda [366]

Answer:

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Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (|x-y| = 1, \forall\,x,y \in \mathbb{N}) We can interpret the statement mathematically by means of the following expression:

x + y = 525

x = n

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Where x, y, n \in \mathbb{N}.

This system is reduced to a single equation and solved afterwards:

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x = 262

y = 263

262 and 263 are consecutive natural numbers whose sum is 525.

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3 years ago
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