The difference of two supplementary angles is 58 degrees. Find the measures of the angles.

Answers

Answer 1

Answer:

The measure of the angles are 61° and 119°

Step-by-step explanation:

Let the first angle = x°

let the second angle = y°

The sum of two supplementary angles = 180°

x° + y° = 180° ----- equation (1)

based on the given question; "the difference of two supplementary angles is 58 degrees."

x° - y° = 58° ------- equation (2)

from equation (2), x° = 58° + y°

Substitute the value of x into equation (1)

(58° + y°) + y° = 180°

58 + 2y = 180

2y = 180 -58

2y = 122

y = 122 / 2

y = 61°

The second angle is given by;

x° = 58° + y°

x = 58° + 61°

x = 119°

Thus, the measure of the angles are 61° and 119°


Related Questions

Meadow is growing her hair out. The graph below shows how much her hair has
grown over the last 8 months.
Meadow's Hair
5
4
3
Inches of Growth
2
1
1
0
1 2 3 4 5 6 7 8
Months of Growth
Which of the following shows the rate at which Meadow's hair is growing?

Answers

I need the same one and 8,7 too

Please hurry it’s urgent thank you

Answers

The answer would be A

Answer:

[tex]b^{9}[/tex]

Step-by-step explanation:

3 + (-5) + 11 = 9

Determine the quotient of 1 2/3÷4/5.
A.1 1/3
B.1 8/15
C.2 1/12
D.2 5/6

Answers

The answer to this would be option “D”

Answer:

A

Step-by-step explanation:

What is the input value other than 0 for which f (x) = -2?

Answers

Answer:-3

Step-by-step explanation:

MULTIPLE CHOICE!!! pls tell me if it’s a, b, or c and provide a brief explanation

Answers

C because three tennis balls can fit Inside it making the container slightly bigger
C because there is space between the tennis balls which means that the tin is bigger

Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height of 72.0 inches and a standard deviation of 1.2. The Aviston Aces have a mean height of 70.8 inches and a standard deviation of 0.7. The Ballwin Bears have a mean height of 73 inches and a standard deviation of 1.0. On average, which team is a taller? Which team has players whose heights are more consistent? Select the correct answer below: The Derby Dragons are taller on average, and have players whose heights are more consistent. The Ballwin Bears are taller on average, and the Derby Dragons have players whose heights are more consistent. The Derby Dragons are taller on average, and the Ballwin Bears have players whose heights are more consistent. The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Answers

Answer:

The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Step-by-step explanation:

for derby dragon;

mean height = 72 inches

standard deviation = 1.2 inches

for aviston aces:

mean height = 70.8

standard deviation = 0.7 inches

for balwin bears;

mean height = 73 inches

standard deviation = 1.0 inches

the mean height of aviston aces < mean height of derby < mean height of balwin bears

So on average the balwin bears are taller.

The standard deviation of derby dragon is > that of balwin bears > aviston aces.

So the more consistent height is that of aviston aces players.

Round to the nearest ten to estimate the difference of 789-371

Answers

Answer:

420

Step-by-step explanation:

Subtract the numbers

789 - 371

Sum:

418

Remember, we did not necessarily round up or down, but to the ten that is nearest to 418.

First, 418 rounded to the nearest ten is

420

When rounding to the nearest ten, like we did with 418 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

What equation is perpendicular to y = 3/2x-3 and passes through (-1, 2)?

Answers

Answer:

y=2/3x-16/3

Step-by-step explanation:

Find perpendular by using negative reciprocal. Then plug in your x and y points into that equation, y=-2/3x-3 --> Then make y=2 and x=-1 --> 2=2/3(-1)+b

solve for b and ur done.

Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. long and 8 ft. high. Two walls each have one door,
and both doors measure 3 ft. by 7 ft. One wall has a window that is 3 ft. by 5 ft. The doors and window do not have to be painted
What is the area of the wall space that has to be painted?

Answers

Answer:

Step-by-step explanation:

519 I believe

A cake is made from the ingredients listed below.
500 g flour, 450 g butter, 470 g sugar,
1.8 kg mixed fruit, 4 eggs (70 g each)
The cake loses 12% of its mass during cooking.
What is its final mass?​

Answers

To make a cake :-

Quantity of flour needed = 500 g

Quantity of butter needed = 450 g

Quantity of sugar needed = 470 g

Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g

Quantity of eggs needed = 70 × 4 = 280 g

It's weight after adding all the ingredients =

=500 + 450 + 470 + 1000 + 800 + 280

= 3500 g

Mass that got lost while baking the cake :

= 12 % of 3500

[tex] = \frac{12}{100} \: of \: 3500[/tex]

[tex] = \frac{12}{100} \times 3500[/tex]

[tex] =\frac{(12 \times 3500)}{100} [/tex]

[tex] =\frac{42000}{100} \: g[/tex]

[tex] = 420 \: g[/tex]

Final mass = Initial mass - mass that got lost

[tex] = 3500 - 420 \: g[/tex]

[tex] = 3080 \: g[/tex]

∴ The final mass of the cake is 3080 g .

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
20 bottles
40 bottles
25 bottles
50 bottles

Answers

Answer:

50 bottles

Step-by-step explanation:

8.6×50=430 seconds so that the answer is 50 bottles

Answer:

i belive the answer is 50. correct me if im wrong.

Step-by-step explanation:

Insert < or > to form a true statement -17/18,3/5

Answers

Answer:

-17/18< 3/5

Step-by-step explanation:

positive is always greater than negative

Do,_1/2 of Z is.
HELP!!! Do not understand!!

Answers

Its 48 dude bro doing it out in my own life


Plz answer this I need help it’s 15 points



Each year, the campers at Alvin's summer camp try to set that summer's record for finishing
the obstacle course as quickly as possible,
Record obstacle course completion times
Year Record time (minutes)
2007 - 29
2008 - 26
2009 - 26
2010 - 23
2011 - 26
According to the table, what was the rate of change between 2008 and 2011?
minutes per year

Answers

Answer:

about 3

Step-by-step explanation:

because it stays the same then it goes down and up

Answer:

about 3 because you have .both 26 then 23 then 26

if wrong plz tell me so i can fix my answer

Step-by-step explanation:

can i have brainliest?❤️

Max read that there are
about 321 million cubic miles
of water in the Earth's
oceans. Write this
amount using scientific
notation
A3.21 x 107 miles
B3.21 x 108 miles
C 3.21 x 100 miles

Answers

Answer:

well its not a bc it goes over so would b so obviously it is c

Dont believe me?

The perimeter of the rectangle with width x and length x + 23.

Answers

Answer:

4x+46

Step-by-step explanation:

What do the following two equations represent?
6x-15y=15 and y=2/5x-1

Answers

Answer:

Same Line

Step-by-step explanation:

The solutions are all the same when both of them are asked to be solved. When you graph it, you get the same line, not intersecting, not perpendicular, its the same line.

Therefore the Answer is Same Line

The given two equations 6x - 15y = 15 and y = (2/5)x - 1 represent that both are identical to each other.

What is the equation?

The equation is defined as a mathematical assertion with at least two terms that contain variables or integers that are equal.

We have been given two equations as

6x - 15y = 15 and y = 2/5x - 1

⇒ 6x - 15y = 15

Divided by 3 both sides of the equation

⇒ 2x - 5y = 5

⇒ y = 2/5x - 1

Multiply by 5 both sides of the equation

⇒ 2x - 5y = 5

When both of them are required to be solved, the answers are identical. When you graph it, you get the same line—not one that is perpendicular or intersecting—but just one that is.

As a result, the answer is identical.

Learn more about the equations here:

brainly.com/question/13947055

#SPJ2

Devon sells used laptop computers. He recorded the ages of some laptops and the prices for which they sold in this scatterplot

Answers

Answer:

B. (6, 325) and (21, 200).

Step-by-step explanation:

A line of best fit that that would best represents and show the trend between two variables on a scatter plot is a line drawn to connect points that will produce a line whereby most of the data points would be clustered around the line or not much far apart from each other along the line of best fit.

Therefore, from the given suggested points that Devon can draw a line, the most appropriate two points that would give a good line of best fit are points (6, 325) and (21, 200).

Try connecting these two points by drawing a line, you will discover that most of the data points represented fall along the line or and they are not much far apart from each other along the line.

Sualuate the following crbustions
2x-3y+1 when x = 1, y = -1

Answers

Answer:

6

Step-by-step explanation:

First you want to rewrite the equation

2*1-3*(-1)+1

Then  you want to do order of operations until you get your answer!

I hope this helps!

Solve the problem and specify the units of measure.
1. On Saturday, you run 5 miles more than your friend. Your friend ran 8 miles. How many
miles did you run?

Answers

You ran 13 miles. Yep

please help me with 11th grade math // Geometry ​

Answers

Answer:

I sent I the answers on ur account

How many gallons of pure alcohol should be added to 40 gallons of a 20% solution so
that a mixture is 25% alcohol?

Answers

Answer:

8/3

Step-by-step explanation:

i put equations as this:

x+40 = y

where x is galllons of pure mixture and y is the gallons of the new mixture

the other equation i id was:

x+0.2(40) = 0.25y

x+8 = 0.25y

y = 4x+32

solve using substitution

(x+40) = 4x+32

x = 4x-8

-3x = -8

x = 8/3

A cube has a side length of 20 in . find the value

Answers

The other side and all the sides should be 20 add them together

A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures 90 degrees: If Larry eats the slices in order from the largest to the smallest, then the number of degrees spanned by a slice decreases at a constant rate. (So the second slice is smaller than the first by a certain number of degrees, then the third slice is smaller than the second slice by that same number of degrees, and so on.)





What is the degree measure of the fifth slice Larry eats?


Can someone explain how they got the answer and what numbers to use?

Answers

9514 1404 393

Answer:

  42°

Step-by-step explanation:

The problem tells you the degree measures form an arithmetic progression. The sum of the 6 terms of the progression is 360, and the first term is 90.

The sum of n terms of an arithmetic progression is given by ...

  Sn = (a1 +d/2(n -1))n

For Sn = 360, a1 = 90, n = 6, we have ...

  360 = (90 +d/2(5))(6)

Dividing by 6 and subtracting 90 gives ...

  -30 = 5/2d

Multiplying by 2/5, we find the number of degrees difference to be ...

  d = -12

Then the 5th term of the sequence is ...

  an = a1 +d(n -1)

  a5 = 90 -12(5 -1) = 90 -48 = 42

The 5th slice Larry eats has a measure of 42 degrees.

_____

The slices measure 90, 78, 66, 54, 42, 30 degrees.

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

3

Step-by-step explanation:

find the two angle measures from diagram 8x+10 12x-18​

Answers

Answer:

66 and 66

Step-by-step explanation:

Given angles are vertical angles

Vertical angles are equal as per vertical angles theorem

8x + 10 = 12x - 1812x - 8x = 10 + 184x = 28x = 7

The angles measure

8*7 + 10 = 56 + 10 = 66

What is the y-intercept

Answers

The y-intercept is 7

Answer:

7

Step-by-step explanation:

The y-intercept is the value of y when x = 0. In other words, the point the line intersects at the y-axis. By looking at the graph, you can tell the line intersects the y-axis at point (0, 7).

10. A motor cyclist travel 48km at 16km
Find the time taken​

Answers

Answer:

can u make. the question more clear how can I find the answer when both are in km?

You have nine subjects to split into three groups. You need to select the first three subjects from the list of names provided below.
1. Berliner
2. Blumenthal
3. MacEachern
4. Wolfe
5. Stasny
6. Santner
7. Verducci
8. Lin
9. Critchlow
To do this, use the numerical labels attached to the previous names and the following list of random digits. Read the list of random digits from left to right, starting at the beginning of the list.
44982 20751 27498 12009 45287 71753 98236 66419 84533 11793 20495 0590711384 The simple random sample is:_________.
a. Wolfe, Lin, and Critchlow.
b. 449
c. 498.
d. Wolfe twice and Critchlow.

Answers

Answer:

a. Wolfe, Lin, and Critchlow

Explanation:

We choose random sample of subjects based on the first random number from left to right and since 4(number appears two times so we wait for next different number) and 9 come first we choose Wolfe and critchlow. The third Subject as we have to choose 3 subjects per sample is Lin since her number 8 appears next. Also the order doesn't matter so we could have Wolfe, Lin, and Critchlow or Critchlow, Lin, Wolfe or in any other order

An object has velocity of 8 m/s and kinetic energy of 480j what is the mass of the object

Answers

Answer:  15 kg

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

Work Shown:

KE = 480

v = 8

KE = (1/2)*m*v^2

480 = 0.5*m*8^2

480 = 0.5*m*64

480 = 0.5*64m

480 = 32m

32m = 480

m = 480/32

m = 15

The SI unit for mass is in kilograms

Also a joule is defined with kilograms since 1 J = 1 kg*m/s^2

1 joule is the amount of energy needed to move an object of mass 1 kg with an acceleration of 1 m/s^2

So this is why the mass m is in kilograms.

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