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3 years ago

How many lines of reflectional symmetry does an equilateral triangle have?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

7 0

There are 3 lines of reflectional symmetry in an equilateral triangle

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

ahrayia [7]

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:

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

$c=\frac{2*6}{\sqrt{2}}$

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

$c=6\sqrt{2}$

Using equation (1) we can find b.

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

$b=12$

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!

5 0

2 years ago

If 10% is deducted from a bill, $58.50 remains to be paid. How much is the bill?

patriot [66]

Answer:

got u

Step-by-step explanation:

$64.35

58.50 plus 10% equals 64.3t

7 0

3 years ago

Is this a function or no?

adoni [48]

Answer:

Yes

Step-by-step explanation:

If you can draw a verticle line through any part and it only crosses the line once it is a function

4 0

3 years ago

Read 2 more answers

I need help with this there is part a and b

Alex17521 [72]

Answer:

the answer should be 3.914 or 4

Step-by-step explanation:

hope it helps!

I am guessing that Part A: 3.914

and Part B: 4

6 0

3 years ago

What is the area of the piece of red paper after the hole for the photograph has been cut

SCORPION-xisa [38]

47 square units is the answer on edge

3 0

3 years ago