Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which values could represent the side lengths of triangle DEF

Answers

Answer 1

Answer:

[tex]A = 15[/tex]   [tex]B = 20[/tex]   [tex]C = 25[/tex]

[tex]D = 30[/tex]   [tex]E = 40[/tex]   [tex]F = 50[/tex]

[tex]D = 3[/tex]    [tex]E = 4[/tex]     [tex]F = 5[/tex]

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

[tex]A = 15[/tex]

[tex]B = 20[/tex]

[tex]C = 25[/tex]

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

[tex]D = A * n[/tex]    [tex]E = B * n[/tex]     [tex]F = C * n[/tex]

Where

[tex]n = Scale\ Factor[/tex]

Assume n = 2.

So, we have:

[tex]D = A * n[/tex]    

[tex]D =15 *2[/tex]

[tex]D = 30[/tex]

[tex]E = B * n[/tex]    

[tex]E = 20 * 2[/tex]

[tex]E = 40[/tex]

[tex]F = C * n[/tex]

[tex]F = 25 * 2[/tex]

[tex]F = 50[/tex]

Assume [tex]n = \frac{1}{5}.[/tex]

So, we have:

[tex]D = A * n[/tex]    

[tex]D =15 *\frac{1}{5}[/tex]

[tex]D = 3[/tex]

[tex]E = B * n[/tex]    

[tex]E = 20 * \frac{1}{5}[/tex]

[tex]E = 4[/tex]

[tex]F = C * n[/tex]

[tex]F = 25 * \frac{1}{5}[/tex]

[tex]F = 5[/tex]

So, the possible sides are:

[tex]A = 15[/tex]   [tex]B = 20[/tex]   [tex]C = 25[/tex]

[tex]D = 30[/tex]   [tex]E = 40[/tex]   [tex]F = 50[/tex]

[tex]D = 3[/tex]    [tex]E = 4[/tex]     [tex]F = 5[/tex]


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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given the 2 equations

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Rearrange (1) expressing y in terms of x by subtracting 2x fro both sides

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The graph shows a school's profit P for selling x lunches on one day.

Considering two points (50, 0) and (0, -150) we will find the equation of the line,

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Answer:

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