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Airida [17]
3 years ago
12

Two angles are supplementary. The first angle is 4x degrees. The second angle is (2x+6) degrees. Determine the measure of each a

ngle
Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Answer:

116 and 64 degrees.

Step-by-step explanation:

Supplementary angles  add up to 180 degrees so we can create the following equation and solve for x:

4x + 2x + 6 = 180

6x + 6 = 180

6x = 180 - 6 = 174

x = 174/6 = 29.

So the first angle is 4*29 = 116 degrees and the second is  2*29 + 6 = 64 degrees.

To confirm these results add them up: 116 + 64 = 180 degrees.

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1/4 = y/12What is y?
N76 [4]
1/4 = y/12

12/4 = y 
y = 3

Answer: y = 3

Check work

1/4 = y/12 
1/4 = 3/12
Correct! 
7 0
4 years ago
Read 2 more answers
The cosine equation for a function that has a period of 4 straight pi and an amplitude of 8
lara [203]

Answer:

y=4sin[2(x−π2)]−6

Step-by-step explanation:

The standard form of a sine function is

y=asin[b(x−h)]+k

where

•a : is the amplitude,

•2π/b : is the period,

•h : is the phase shift, and

•k : is the vertical displacement.

We start with classic

y=sinx :

graph{(y-sin(x))(x^2+y^2-0.075)=0 [-15, 15, -11, 5]}

(The circle at (0,0) is for a point of reference.)

The amplitude of this function is

a=1 .To make the amplitude 4, we need

a to be 4 times as large, so we set

a=4

.

Our function is now

y=4sinx ,and looks like:

graph{(y-4sin(x))(x^2+y^2-0.075)=0 [-15, 15, -11, 5]}

The period of this function—the distance between repetitions—right now is

2π , with b=1

.To make the period π , we need to make the repetitions twice as frequent, so we need

b=normal period/desired period

=2π/π=2

.

Our function is now

y=4sin(2x), and looks like: graph

{(y-4sin(2x))(x^2+y^2-0.075)=0 [-15, 15, -11, 5]}

This function currently has no phase shift, since

h=0

. To induce a phace shift, we need to offset

xby the desired amount, which in this case is

π2 to the right. A phase shift right means a positive

h, so we set

h = π2

.

Our function is now

y=4sin[2(x−π2)] , and looks like:graph

{(y-4sin(2(x-pi/2)))((x-pi/2)^2+y^2-0.075)=0 [-15, 15, -11, 5]}

Finally, the function currently has no vertical displacement, since

k=0

.To displace the graph 6 units down, we set

k=−6

.

Our function is now

y=4sin[2(x−π2)]−6, and looks like:graph {(y-4sin(2(x-pi/2))+6)((x-pi/2)^2+(y+6)^2-0.075)=0 [-15, 15, -11, 5]}

6 0
3 years ago
Giving brainlyist to the first person who gets a complete and correct answer.
Andreas93 [3]

Answer:

(Option B

(Option C

Step-by-step explanation:

Concept:

We will start by explaining each option one after the other

Step 1:

The sum of two odd numbers

Let the first odd number be

2a+1

Let the second odd number be

2B+1

By adding the two numbers, we will have

2a+1+2B+1=2(a+B)+2

Hence,

The sum of two odd numbers is even

Step 2:

The difference of two odd number

Let the first odd number be

2a+1

Let the second odd number be

2B+1

To find their difference, we will have

2a+1-(2B+1)=2a+1-2B-1

=2a-2B

Hence,

The difference between two odd numbers is even

Step 3:

Let the first even number be

2a

Let the second odd number be

2B+1

By adding the two numbers, we will have

2a+2B+1

Hence,

The sum of an odd number and an even number is odd

Step 4:

The difference between an odd number and an even number

Let the first even number be

2a

Let the second odd number be

2B+1

Hence,

The difference will be

2a-(2B+1)

2a-2B-1

Hence,

The difference between an odd number and an even number is odd

Therefore,

The correct answers are OPTION B and OPTION C

-Good Luck with your Assignment!

-Thanks for choosing Brainly!







5 0
3 years ago
Read 2 more answers
Given the graph below, what is the zero(s)?
JulsSmile [24]

Answer:

Great job!

Step-by-step explanation:

6 0
3 years ago
What is the answer for #1 and #2??
AfilCa [17]
#1 
the answer would be C.) y = -2x + 4
here is why:
start with y = mx +b 
imput the slope and the coordinates: 
-8 = -2 x (6) + b
then solve for b
-8 = -2 x (6) + b
-8 = -12 + b
b = 4

so then the equation would be 
y = -2x + 4

#2
y - 3 = 2 ( x - 7)
y - 3 = 2x - 14
y = 2x - 11

because none of the answers are in standard y=mx+b form I would say that the answer would be none.

4 0
3 years ago
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