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2 years ago

The sum of two consecutive even numbers is 206. What is the value of the smallest number?

Mathematics

1 answer:

lesya692 [45]2 years ago

3 0

Answer:

102

Step-by-step explanation:

Since we know that the numbers are two consecutive even numbers, we can write an equation like this where n represents the 2 numbers.

n + (n+2) = 206

Simplify the left side:

n + (n+2) = 206 -----> 2n+2 = 206

Subtract 2 from both sides:

2n = 206-2 -----> 2n = 204

Now divide 204 by 2:

n = 204/2 -----> n = 102

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2 years ago

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2 years ago

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3 years ago

Read 2 more answers

Train tracks are made of metal. Consequently, they expand when it's warm and shrink when it's cold. When riding in a train, you

Nadya [2.5K]

The height of the triangle that forms the train track is 145,38 ft

<h3>How to calculate the height of the triangle?</h3>

To calculate the height of the triangle we must take into account the information provided by

Base of the triangle = 1 mile = 5280 feet
Railroad track expansion = 8 feet

According to the above, we must perform the following operations:

5280 ÷ 2 = 2640
8 ÷ 2 = 4
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Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:

Base: 2640ft
Hypotenuse: 2644 ft

2644² = x² + 2640²
x² = 2644² - 2640²
x = $\sqrt[2]{2644^{2} + 2640^{2}}$ .
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x = 145,38 ft

That makes x approximately 145,38 ft.

Learn more about triangles in: brainly.com/question/2269348

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2 years ago