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3 years ago

An interior angle of a regular polygon has a measure of 135° how many sides does it have

Mathematics

1 answer:

butalik [34]3 years ago

6 0

8 sides

the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )

the sum of the exterior angles of a polygon = 360°

number of sides = $\frac{360}{45}$ = 8

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Please help ! Desperate here ! Evaluate the expression : 2{5[12+5(500-100)+399]}

-Dominant- [34]

Answer:

hope this will help

Step-by-step explanation:

3 0

3 years ago

In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.

inessss [21]

Answer:

Step-by-step explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

7 0

2 years ago

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$

Isolate a by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

$a=7.3$

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

$\displaystyle sin\theta=\frac{5}{8}$

In this case, we will use the inverse sine ratio:

$\displaystyle \theta=sin^-^1(\frac{5}{8})$

Solve using a calculator:

$\displaystyle \theta=39$

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0

2 years ago

What is f(5)? I have 20 min left

jolli1 [7]

To find f(5), just look at the table and find the value for x that corresponds with f(5). In this case, this value is -1.

So, your answer is B. -1.

Hope this helps!

4 0

2 years ago

Read 2 more answers

For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car

n200080 [17]

The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$

where a is a constant and a>1

We can solve this problem by exponential function:

The word depreciate means the price is decreasing.

We can find the value be when the car is 10 years old:

p = 38800(1 - 0.06)¹⁰

p = 38800(0.94)¹⁰

p = 20898.266 ≈ $20898.27

Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

6 0

1 year ago