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Sedbober [7]
3 years ago
12

What is the difference between supplementary and complementary angles?

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0
Supplementary angles are 2 angles that add up to a total of 180°

Complementary angles are 2 angles that add up to a total of 90°


I hope this helps. If it does, please rate as Brainliest :D
3241004551 [841]3 years ago
5 0
Supplementary angles are the angles that make a sum of 180˚.
Complementary angles are the angles that make a sum of 90˚ 
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3 more than a number then divided the result by 8
ziro4ka [17]

We are given statement : 3 more than a number then divided the result by 8.

We need to write an algebraic expression for it.

Let us assume unknown number be n.

3 more than n = (n+3).

Now, we need to divide that result (n+3) by 8.

So, we would get (n+3) divided by 8 = \frac{n+3}{8}.

<h3>Therefore, final expression is \frac{n+3}{8}.</h3>
5 0
3 years ago
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Help please!!<br> asap no wrong answers<br> will give the crown symbol
Svetllana [295]

Answer:

4Hz

Step-by-step explanation:

Standard form of a sine or cosine function,

y = acos(b(x+c))

where a is the amplitude, b is the value to find the period. and c is the phase shift.

Period = \frac{2\pi}{b}

From the equation given in the question,

y = 3cos(8\pi \: t +  \frac{\pi}{2} ) \\ y = 3cos(8\pi(t +  \frac{1}{16} )) \:  \: (factorising \: 8\pi \: out)

We can see:

Amplitude = 3,

Period = \frac{2\pi}{8\pi} = 1 / 4

Phase Shift = 1 / 16

Now we want to find the frequency.

Frequency = 1 / Period

= 1 / (1/4)

= 4Hz

4 0
2 years ago
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What is the mean of this data set? 12,17,16,10,20,13,14,14,12,12,19,18
Gemiola [76]

Answer:

14.75 :) please give me brainliest :)

Step-by-step explanation:

7 0
3 years ago
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M<br> /<br> n<br> (x), x not equal to
azamat

Answer:

In M/n(x) x cannot be 0

Step-by-step explanation:

If any number is divided by 0, then that number is undefined and has no answer, so in math this is always avoided by not dividing with 0.

4 0
3 years ago
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l
devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem):  <em>It isn't necessary to know that BC is 5.</em>

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle,  if it only gives ∠CBD as a right angle, or if it gives both as a right angle.  Below, we prove that it doesn't matter, because regardless, both must be right angles.

<u>Is Triangle ABD a "right triangle"?</u>

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary.  Since they are supplementary, their measures add to 180°.  Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle.  Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

<u>Pythagorean Theorem</u>

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle.  (<em>Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b.  The only thing that is required is that "c" be the length of the hypotenuse</em>)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs.  Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

a^{2} +b^{2} =c^{2}

(8)^{2} +(15)^{2} =(s)^{2}

64 +225 =s^{2}

289 =s^{2}

Applying the square root property...

\pm \sqrt{289} =\sqrt{s^{2}}

s=17 \text{ or } s=-17

<u>Final Solution</u>

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0
2 years ago
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