3 years ago

(02.06 LC)

Mathematics

2 answers:

Alona [7]3 years ago

8 0

B. < 1 and < 2 are congruent because they are corresponding angles

marta [7]3 years ago

3 0

Correct answer is B

25 characters

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(3,-4)

Step-by-step explanation:

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H²+10h=-21 solve quadratic trinomials

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Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

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Answer:

<u>The correct answer is the letter C. </u>

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

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$c=\frac{12}{\sqrt{2}}$

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Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

<u>Therefore, the correct answer is the letter C. </u>

I hope it helps you!

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