the measure of the supplement angle is 24 more than three time the measure of the original angle. find the measures of the angles.

Answers

Answer 1

Step-by-step explanation:

Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.

180 - x = 3x + 24

4x = 156

x = 39

Hence the original angle is 39° and the supplementary angle is 141°.

Answer 2

The angles are 39° and 141°.

What is a complementary angle ?

Two angles are said to be complementary to each other when their sum is 90°

According to the given question

The measure of the supplement angle is 24 more than the measure of the original angle.

Let the original angle be x

So from the given data it's supplement angle is 3x + 24.

We know two angles are supplementary when their sum is 180°.

∴ x + 3x + 24° = 180°

     4x = 156°

       x = (156/4)°

      x = 39°.

So, the original angle is 39° and it's supplementary angle is 141°.

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Related Questions

A figure is located entirely in the third quadrant. If you reflect it over y = 0. Which quadrant will the resulting figure lie in?​

Answers

Answer: Quadrant 2

=================================================

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is [tex](x,y) \to (x,-y)[/tex] showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.

Side note: all points on the line y = 0 have a y coordinate of 0

solve 12x + k = c for x and what are the steps?

Answers

Answer:

[tex] \huge \orange { \boxed{x = \frac{c - k}{12} }}[/tex]

Step-by-step explanation:

12x + k = c

Step 1: transfer k on right side

12x = c - k

Step 2: Divide both side by 12

[tex] \frac{12x}{12} = \frac{c - k}{12} \\ \huge \red{ \boxed{x = \frac{c - k}{12} }}[/tex]

Each expression with the appropiate property:​

Answers

commutative property of multipication

Heather buys a TV for $2,100, a game system for $400, and a game for $50. If sales tax is 8% what will she pay in tax?

Answers

Answer:

2754

Step-by-step explanation:

=2550

108%=x

108x2550/108

275400/100

2754

Caleb is at the grocery store and plans on buying cans of soup and frozen dinners, but
is concerned about their sodium content. Each can of soup has 500 mg of sodium and
each frozen dinner has 650 mg of sodium. How many milligrams of sodium are there
in 3 cans of soup and 4 frozen dinners? How many milligrams of sodium are there in
c cans of soup and f frozen dinners?

Answers

Answer:

Look at the step by step

Step-by-step explanation:

3 cans of soup: 1500 mg of sodium

4 frozen dinners: 2600 mg of sodium

together they are 4100 mg of sodium

How many milligrams of sodium are there in  c cans of soup: [tex]500c[/tex]

How many milligrams of sodium are there in  f frozen dinners: [tex]650f[/tex]

There is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

What is Expression?

An expression is combination of variables, numbers and operators.

Each can of soup has 500 mg of sodium and

each frozen dinner has 650 mg of sodium

1 can =500mg

frozen dinner = 650 mg

3 cans=3(500)=1500 mg

4 frozen dinner = 4(650) mg=2600 mg

Together there is 1500+2600= 4100 mg of sodium

500c milligrams of sodium is there in  c cans of soup

650f milligrams of sodium is there in  f frozen dinners

Hence, there is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

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If you could see my teacher wrote the answer on the right but he wants me to say how he figure it out

Answers

Step-by-step explanation:

since there are five digit after1 so the power is 5 and the is the number 2 which is multiplied to each and after that the number 0is there which makes 4 number left and so on until the power is zero

Sara is trying to build the number 0.140 with base ten blocks. She has thousandths blocks, hundredths blocks, and NO tenths blocks. How can she represent 0.140?

Answers

Answer:

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Step-by-step explanation:

Base 10 blocks are blocks in set of four which can be used together to represent any number. Also base 10 blocks can be used to perform mathematical computations like addition, subtraction, addition, division, area and many more.

We have to represent 0.140 using hundredths and thousandths blocks.

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²

10⁻³ represents the thousandth block and 10⁻² for the hundredth. Hence:

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²  = 40 thousandth + 100 hundredth

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

helpppp

8(6-x)/7 = -x

Answers

Answer:

[tex]x=48[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]

Multiply both sides by 7:

[tex]\displaystyle{8(6-x)=-7x}[/tex]

Distribute the left side:

[tex]\displaystyle{48-8x=-7x}[/tex]

Add 8x to both sides:

[tex]48=x[/tex]

what is the circumference of a circle with a radius of 54 m

Answers

Answer:

339.42m

Step-by-step explanation:

Circumference of a circle=2x22/7x54

=339.42m

Answer:

circumference of circle = 2πr

radius = 54 m

circumference= 2 * 22/7 * 54

= 339.427 m

Does anyone know how to do this one

Answers

It’s (-5,-2) You can figure this out by going to the left 5 times which is negative so -5. And going down on a graph is negative so down 1 means -1 so you add the -1 to the other negative one and now you have -2. So that is how you get the answer.

Simplify. * 11b – 5 + 12b - 10​

Answers

Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

Steven needs to help a truck containing box's filled with video consoles.He wants to determine the time required to unload the truck.Which quality will help Steven to determine the time required

Answers

Answer:

3 to 4 hours

Step-by-step explanation:

There are different sizes trucks that are used for transportation of boxes. The time to unload a truck depends on its size and the weight of boxes. If the boxes are heavy then it will require more time to unload a truck. Steven has 24" truck with boxes which contain video consoles. The video consoles are not really heavy and the boxes are easy to lift. Steven will be required  to 4 hours to unload the truck.

solve the equation .
X-8= 20 - 6(x + 7)

Answers

114 is the answer but if you want to know what X is then X is 12

Please help. I will give brainliest and 77 points

Answers

Answer:

________________

I think it may be 31%

Answer:

50%

Step-by-step explanation:

There are a total of 640 fries.

40% of them are crispy. Therefore, let C be the amount of crispy fries:

[tex]C=0.4(640)=256[/tex]

Thus, the amount of soggy fries S would be:

[tex]S=640-256=384[/tex]

The total of the crispy fries and the soggy fries is the sum of the fries not on the floor and on the floor. Let F denote on the floor and let NF denote not on the floor. Thus:

[tex]C=C_F+C_{NF}[/tex]

C is 256:

[tex]256=C_F+C_{NF}[/tex]

Same thing for soggy fries S:

[tex]S=S_F+S_{NF}\\[/tex]

S is 384, thus:

[tex]384=S_F+S_{NF}[/tex]

We are told that 80% of the soggy fries are on the floor. Therefore:

[tex]S_F=0.8(384)=307.2[/tex]

This means that the amount of soggy fries not on the floor is:

[tex]S_{NF}=S-S_F\\S_{NF}=384-307.2=76.8[/tex]

We are given that 32% of all the fries are not on the floor. Therefore:

[tex]NF=0.32(640)=204.8[/tex]

The total amount of fries not on the floor is the sum of the amount of crispy fries and soggy fries not on the floor. Thus:

[tex]NF=C_{NF}+S_{NF}[/tex]

We know that NF is 204.8 and that S(NF) is 76.8. Substitute:

[tex]204.8=C_{NF}+76.8[/tex]

Subtract 76.8 from both sides:

[tex]C_{NF}=128[/tex]

This means that out of the 256 crispy fries, only 128 of them are not on the floor.

This means that the amount on the floor is 256-128, or also 128.

Thus, the percentage of crispy fries on the floor is:

[tex]=\frac{128}{256}=50%[/tex]

Our answer is 50%

What is the least to greatest

Answers

Answer:

2nd one

Step-by-step explanation:

life's a gamble

14) ¿Cuántos cubos de 1 cm por lado caben dentro de otro cubo que mide por lado 2cm?

Answers

Answer: 8

Step-by-step explanation:

Ok, el volumen de un cubo de lado L es:

V = L^3

Entonces, el volumen de un cubo de 1cm por lado es:

V = (1cm)^3 = 1cm^3

Y el volumen de cubo cuyos lados miden 2cm es:

V' = (2cm)^3 = 8cm^3.

Ahora, la cantidad de cubos chicos que van a entrar en el cubo grande es igual al cociente entre sus volúmenes:

V'/V  = (8cm^3)/(1cm^3) = 8

Entran 8 cubos de 1 cm por lado en un cubo de 2cm por lado.

Compute the distance between the 2 points (-3,4) and (21,11)

Answers

The distance between the two points is 2

please help please

(-1)(-1)(-1)=

Answers

Answer:

the answer of this is : (-1)

Compare and contrast XY with XY.
XY
XY
Represents a distance
Represents a segment
O
O
Represents a numerical value
1
Represents a geometric figure
Can be found by applying the ruler postulate
Can be duplicated with a compass and straightedge
O

Answers

Answer:

[tex]{}[/tex]                                                                                                    XY                [tex]\overline {XY}[/tex]

Represent a distance [tex]{}[/tex]                                                                 √

Represent a segment [tex]{}[/tex]                                                                                     √

Represent a numerical value [tex]{}[/tex]                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  [tex]{}[/tex]                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and [tex]\overline {XY}[/tex] are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

Is the following relation a function ? S = {(1,2),(2,2),(-2,2)} justify your answer

Answers

Answer:

              YES

Step-by-step explanation:

relation is a function if we have y for every x from domain and for one x we have one and only one y

x = 1  --> y = 2

x = 2 --> y = 2

x = -2 --> y = 2

no x-es without y-es

and no two the same x-es with one y

so this relation is a function

which is not the correct way to name an angle

Answers

Answer:

i think it's B

hopes this helps

Answer:

A. <O

Step-by-step explanation:

If it was <O, you wouldn't know which angle it was talking about

PLEASE HELP ME QUICKLY!!!!!!!!!!!!!!!!

Answers

Answer:

X=35°

Step-by-step explanation:

Opposite angles x=35°

Answer:

35°

Step-by-step explanation:

The 2 angles that measure 35 degrees and x degrees are vertical angles.

Therefore, they are congruent, and we can set them equal to each other.

x = 35°

So, x is equal to 35 degrees.

Easy math problem giving brainlist and points!

Answers

Answer:

A

Step-by-step explanation:

When you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Answer:

the anser is A because.. when you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

A lunch bill $12 before tax. If tax on the bill is 7.5%, what is the total cost of the lunch including tax?

Answers

Answer:

$12.90

Step-by-step explanation:

To solve, multiply the cost before tax with tax, and then add the number gotten to the original amount.

12 x 7.5% = 12 x 0.075 = 0.9

12 + 0.9 = 12.9

$12.90 is your answer.

~

Answer:

After tax, the price should be $12.90

Step-by-step explanation:

multiply 12 by 1.075

Which conditional statement is true?
If it is a table, it has four legs.
If it is Wednesday, it is a weekday.
If it has printed words, it is a book.
If it is a month, it has thirty-one days.

Answers

Answer:

if it is wednesday, it is a weekday.

Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, not all months have 30 days.

Write an equation of a line in point-slope and slope intercept form that passes through the point (1, -8) and is perpendicular to the line: 2x-4y = -11

Answers

Answer:

11y-2x= -90

Step-by-step explanation:

for the point (1,-8)

x=1 and y= -8

for the equation,

2x -4y= -11

x= -1/m

m= -1/x

x = -1/ (-11/2 )

m= 2/11

so for the equation,

y-y1= m(x- x1)

y- -8=2/11(x-1)

11(y+8)= 2(x-1)

11y +88= 2x-2

11y-2x= -90

sum of -36 and 29 is​

Answers

Answer:

[tex]-7[/tex]

Step-by-step explanation:

So the first and last step is to add.

[tex]-36+29[/tex]

And the answer to that is

[tex]-7[/tex]

Hope this helps!

What is the interest you will pay if you borrowed $5,400 at 6% interest for 1 year

Answers

I dont really know how to give an explanation in detail but the answer is 32.40

5400 x .06 x 1

(turn the percent into a decimal)

The interest should be paid for 1 year is $324.

What is the Formula for Simple Interest?

The formula for Simple Interest

SI = ( PRT)/100

where, P- Principal

R- Rate

T- Time

Given:

P = $5400

R= 6%

T= 1 year

So, Simple Interest

= PRT/100

= 5400 x 6 x 1 /100

= $324

Hence, the interest should be paid for 1 year is $324.

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Find the difference. (3 • 1,000) – (2 • 100)

Answers

Answer:

2,800

Step-by-step explanation:

3·1000=3000

2·100=200

3000-200= 2,800

I need an answer quickly!

What is the length of
BD with endpoint B(1,4)
and midpoint T(4,6)?

Thank you in advance!

Answers

Answer:

d=2√13

Step-by-step explanation:

B(1,4) T(4,6)  what is BD

find BT

d=√(x2-x1)²+(y2-y1)²

d=√(4-1)²+(6-4)²

d=√3²+2²

d=√9+4

d=√13 this is haf the distance

BD=2d=2√13

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