Two angles form a linear pair. the measure of one angles is 15° less than 2/3 the measure of the other angle. Write and solve an algebraic equation to find the measure of each angle. I need help! someone plz help me!

Answers

Answer 1

Answer:

First angle = 117 degrees.

Second angle = 63 degrees.

Step-by-step explanation:

If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.

If we let one angle = x, then the other angle is (2/3)x - 15

Now we can form the following equation:

x + (2/3)x - 15 = 180

(5/3)x = 195

5x = 585

x = 117

Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.


Related Questions

Solve each equation –7x = 63

Answers

-7x=63

-x=63/7

-x=9

-9x

you have to dived 63 by -7 which is -9

x=-9

15 = 2x – 10 step and solution

Answers

Answer:

12.5 =x

Step-by-step explanation:

15 = 2x – 10

Add 10 to each side

15+10 = 2x – 10+10

25 = 2x

Divide by 2

25/2 = 2x/2

12.5 =x

Answer:

25/2

Step-by-step explanation:

2x-10=15

  +10 +10

2x=25

divide both sides by 2 to get 25/2

Determine whether the equation represents a direct variation. If it​ does, find the constant of variation. 4y=3x+5

Answers

Answer:

Step-by-step explanation:

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper​ weigh?

Answers

Answer:

about 0.00645 pounds

Step-by-step explanation:

3.225 / 500 = 0.00645

Answer:

A single paper should weigh about 0.00645

Step-by-step explanation:

All you really need to do is divide 3.225 by 500.

Write the inverse of f(x) = 3x - 1
f -1(x) =

log 3 x + 1
log 3 ( x - 1)
log 3 x - 1

Answers

Answer:

log 3 x +1 = f^-1(x)=[tex]\frac{10^x^-^1}{3}[/tex]

log 3 (x-1) = f^-1(x)=[tex]\frac{x}{log(3)} +1[/tex]

log 3 x - 1 = f^-1=[tex]\frac{10^x^+^1}{3}[/tex]

The inverse of the function f(x) = 3x - 1 is f⁻¹(x) = (x + 1)/3.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 3x - 1.

Or y = 3x - 1.

3x = y + 1.

x = (y + 1 )/3.

f⁻¹(x) = (x + 1)/3.

learn more about the inverse of functions here :

https://brainly.com/question/2541698

#SPJ2

-2(k - 5) + 2k = 5k + 5​

Answers

K=1

-2k + 10 + 2k = 5k + 5

10 = 5k + 5

5= 5k

K= 1

I WILL MAKE BRAINLEST!!!!!!
Order the numbers from least to greatest. 1=least and 4=greatest LaTeX: \sqrt{\frac{9}{4}}9 4 LaTeX: \sqrt{5}5 LaTeX: 2.52.5 LaTeX: \frac{5}{3}5 3

Answers

Answer:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Step-by-step explanation:

Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.

[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]

[tex] \frac{3}{2} = 1.5 [/tex]

[tex] \sqrt{5} [/tex] ≈ 2.2

2.5 (already in decimal form)

[tex] \frac{5}{3} [/tex] ≈ 1.7

From the least to the greatest, we have:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Find the domain of fg. f(x)=x+2 g(x)=1/x+2 a. all real numbers b. all real numbers, except 2 c. all real numbers, except -2 d. (-2,0) U [2, -2)

Answers

Answer:

all real numbers

Step-by-step explanation:

the domain will always be all real numbers

what is the value of 8 to the power of 0

Answers

Answer:

1

Step-by-step explanation:

:)

convert 2000m to centimeters​

Answers

Answer:

200,000cm

Step-by-step explanation:

1m = 100cm

2000m = ?

2000 × 100 = 200,000cm

2,00,000cm

Step-by-step explanation:

1m= 100cm

2000m=?

2000m= 2000× 100 cm

= 2,00,000cm

Helpppppppppppppppp plz plz plz plz plz

Answers

Answer:

-19

Step-by-step explanation:

We know:

Samuel walks  forward 19 steps. So number is+19

We need to find:

How would he represent the opposite of this number

Answer :

Number = 19

To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.

Solve the literal equation y = 12x - 5cx for x

Answers

Answer: x=y/(12-5c)

Step-by-step explanation:

To solve for x, we need to use algebraic properties.

We notice that each term on teh right side contains an x. We can factor out an x.

y=12x-5cx                      [factor out x]

y=x(12-5c)                      [divide both sides by 12-5c]

x=y/(12-5c)

The endpoints of GH are G(3,3) and H(-7,7).
Find the coordinates of the midpoint M.

Answers

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

[tex]midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])

[tex]midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2} [/tex])

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

Hope it helps....

200 ones into standard form

Answers

200 I think that’s it

15 points!! easy question please help, need it asap! will mark brainliest to whoever gets it right, please!!

Answers

Answer:

x = 6

Step-by-step explanation:

find the x value for one triangle then times it by 2

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

[tex]c=\sqrt{13}[/tex]

[tex]a=2[/tex]

Square c and subtract a from it.

[tex]13-4 = 9[/tex]

square root 9 to get have of the x value, then multiply it by 2

[tex]2\sqrt{9}=6[/tex]

[tex]x=6[/tex]

2. Given that (ab - c) + d = e
Solve for a

Answers

Ab-c=e-d
Ab=e-d+c
A=e-d+c/b


1. If 4 = ( p – 2 ) then the solution of p = ------
2.In the expression x/4 = 2/3 what is the value of the x

Answers

Answer:

x = 8/3

Alternative form

x = 2 2/3, x = 2.6

Step-by-step explanation:

First, simplify the equation using cross-multiplication

3x = 8

then divide both sides of the equation by 3 and there's your answer

x = 8/3

Subtract. (3x+3)–(3x+3)

Answers

your answer will be 0.

What is -3 to the power of 5?

Answers

Answer:

-243

Step-by-step explanation:

-(3)^5

-3 x -3 x -3 x - 3 x - 3

=>-243

FIRST ANSWER GETS BRANLIEST!!

Answers

Answer:

(0,0)

Step-by-step explanation:

Let's think about how the graph of this would look.

We know that y will be [tex]x^2[/tex], meaning that if x was 0, y would be 0.

If x was 1, y would be 1

If x was 2, y would be 4.

Now let's think about negative numbers.

If x was -1, y would be 1 (since [tex]-1^2 = 1[/tex]

If x was -2, y would be 4 (since [tex]-2^2 = 4[/tex]).

This means that our graph would turn at the point where x and y are equal (excluding 1,1)

This is 0,0.

So 0,0 is the turning point of this graph.

Hope this helped!

The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.) 1. sin^4 (x) = f(g(x)) where f(x) = , and g(x) = . 2. sin(sin(x)) = f(g(x)) where f(x) = , and g(x) = . 3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following functions :

sin^4 (x) = f(g(x)) where f(x) = and g(x) =

Sin⁴(x) = sin(x)⁴

g(x) = sin(x),

f(x) = f(g(x)) = f(sin(x)⁴) = x⁴

2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =

g(x) = sin(x) ; sinx = x

g(x) = sin(x)

f(x) = f(g(x)) = sin(x) ; sin(x) = x

f(x) = f(g(x)) = f(sin(x))

f(x) = sin(x)

3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Here,

g(x) = x⁴

f(x) = f(g(x)) = sin(g(x)) = sin x

f(x) = sinx

The functions are illustrations of composite functions, where multiple functions are combined in one.

(1) sin^4 (x) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin^4(x)[/tex]

So, we have:

[tex]f(g(x)) = (\sin(x))^4[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = (g(x))^4[/tex]

Substitute x for g(x)

[tex]f(x) = x^4[/tex]

Hence, the functions are:  [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]

2.) sin(sin(x)) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(\sin(x))[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]

3. sin x^4 = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(x^4)[/tex]

From the above equation, we have:

[tex]g(x) = x^4[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

Can someone explain how to solve g(x)=x-6

Answers

Answer:

you cant solve that y=x-6 is not a solve able question it's just a function,do you mean how to graph it

Please help me solve this Question Explanation will be appreciated.

Answers

Answer:

for the first question, the answer is B

6 × 6 (faces of a dice) = 36, there are 6 way to add 1-6 to 7 (1+6, 2+5, 3+4), so the answer is 6/36 or simplified into 1/6

for the second question, the answer is B

3/4 = 15/20, 3/5 = 12/20 (least common multiple is 20)

15/20 - 12/20 = 3/20

1. Simplify the expresdion.
(1 Punto)
43 - ( 18 + 3)

Answers

Maybe use a calculator?

if 7x - 11 = 17, then x = 4
I really need help I don’t understand anything and my teacher isn’t a big help either

Answers

It is C. In option C, it tells you that x=4. All you have to do is fill in the blanks.

7 • 4 - 11 = 17
28 - 11 = 17
17 = 17

The statement is true. 17 does equal 17, so the answer is C.

The teacher has 125 pencils they want to arrange in y amount of containers in the class. Write an expression to show how many pencils will be in each container.

Answers

Answer:

125/y

Step-by-step explanation:

Answer:

[tex]\frac{125}{y}[/tex]

Step-by-step explanation:

If you have 125 pencils and you have [tex]y[/tex] amount of containers, then you want to get an equal number of pencils in each container.

What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.

Division can be represented in two ways: with a division sign [tex]\div[/tex] or as a fraction [tex]\frac{x}{y}[/tex].

You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.

If we are dividing 125 into [tex]y[/tex] groups, then our fraction is [tex]\frac{125}{y}[/tex].

Hope this helped!

The set of factors below show the common factors of which set of numbers?

Set: 1,2,4,8

Answers

Answer:

C

Step-by-step explanation:C

38 + − 21 = ???????????????????????????

Answers

Answer:

17

Step-by-step explanation:

Answer:

38 - 21 = 17.

Step-by-step explanation:

because - + = - ....

Hope it helps you..

Thanks

.

Draw the line given the x-intercept: 3 y-intercept: -6

Answers

Answer:

draw the line from the -6 in the y axis to the 3 in the x axis

6. State the absolute maximum using the correct notation. Start answer with abs max: Please do not put any spaces in answer.​

Answers

Answer:3.5:80

Step-by-step explanation:

common sense

The answer answer answer 3.5:80
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