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3 years ago

The average of m, n, and -1 is 0. What is the value of m+n?

Mathematics

1 answer:

Oxana [17]3 years ago

5 0

Answer: 1

==========================

Explanation:

To average a bunch of numbers, we add them up and divide by how many numbers there are. In this case, we'll divide by 3 since there are 3 numbers.

Add up the values: m+n+(-1) = m+n-1

Divide by 3: (m+n-1)/3

Set this equal to 0 since we're told the average is 0: (m+n-1)/3 = 0

Now let's isolate m+n. It might help to replace "m+n" with another variable, say P to get (P-1)/3 = 0.

Solve for P

(P-1)/3 = 0

P-1 = 3*0 .... multiply both sides by 3

P-1 = 0

P = 1 ... add 1 to both sides

m+n = 1 .... replace P with m+n

So that's why the answer is 1

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2 years ago

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Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

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Calculate the lengths of both triangles using the following distance formula

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For triangle ABC, we have:

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For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

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Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

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Read more about similar triangles at:

brainly.com/question/14285697

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2 years ago

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Step-by-step explanation:

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Read 2 more answers

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olganol [36]

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I will use the y-intercept slope version

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