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3 years ago

What is the difference between supplementary and complementary angles?

2 answers:

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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Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each tac

Diano4ka-milaya [45]

Answer:

Kayla bought 7 tacos and 10 hotdogs

Step-by-step explanation:

Let the number of hotdogs be x.

Let the number of tacos be y.

i) It is given that x = y + 3

ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126

iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126

therefore 15y + 21 = 126

therefore 15y = 105

therefore y = 7

Therfore Kayla bought 7 tacos

iv) Using the value of y from iii) in i) we x = 7 + 3 = 10

Therefore Kayla bought 10 hotdogs

6 0

2 years ago

two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the larger circ

Bond [772]

the complete question in the attached figure

Let
A°-----------> the same central angle

For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360° (full circle) has a length of------------> 75.36 m
A°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
length of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m

360° (full circle) has a length of------------> 47.1 m
76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle

the answer is
the length arc of the smaller circle is 10 m

3 0

2 years ago

NEED CORRECT ANSWER...

Misha Larkins [42]

39.50-23.76-2.57-1.49=11.68

take the sales and subtract the expenses

6 0

3 years ago

find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1

Mila [183]

Check the picture below, is a negative angle, thus, is going "clockwise"

$\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1}
\\\\\\
-1\cdot tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y
\\\\\\
-1\cdot \cfrac{-1}{-1}=y\implies -1$

4 0

2 years ago

A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.

vitfil [10]

Theory:

The standard form of set-builder notation is 

{ x | “x satisfies a condition” }

This set-builder notation can be read as “the set of all x such that x (satisfies the condition)”.

For example, { x | x > 0 } is equivalent to “the set of all x such that x is greater than 0”.

Solution:

In the problem, there are 2 conditions that must be satisfied:

1st: x must be a real number

In the notation, this is written as “x ε R”. Where ε means that x is “a member of” and R means “Real number”

2nd: x is greater than or equal to 1

This is written as “x ≥ 1”

Answer:

Combining the 2 conditions into the set-builder notation:

X = { x | x ε R and x ≥ 1 }

8 0

2 years ago

Read 2 more answers