Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find the measure of both angles.

Answers

Answer 1

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136


Related Questions

William melts a cube-shaped block of candle wax that is 4 inches on each side. He then pours the wax into cylinder-shaped molds in order to make candies. Each mold has a height of 2.5 inches
Complete the table below to show the maximum number of whole candles that William can make from the block of wax using molds of the given diameters

Answers

9514 1404 393

Answer:

  130, 32, 8

Step-by-step explanation:

I find it convenient to use a spreadsheet to do repetitive calculations. The formulas for volume of a candle and number of candles are shown in the attached spreadsheet.

The block of wax has a volume of 4×4×4 = 64 cubic inches. The volumes shown for the candles are in cubic inches, so the number of candles is 64 divided by the candle volume.

here is the other part
mario

Answers

Answer: cool

Step-by-step explanation:

how can you find the solution of a system of linear equations by graphing

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Answer:

Use desmos if you can but usually just look at where the lines intersect. there can be more than one point

Step-by-step explanation:

I need 5x - 6y = 30 super bad including The Slope and the Y-Intercept, please I need this super fastttt!

Answers

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

PLS HELP WITH THIS MATH Equation

Answers

answer: (175+125)÷3

have a nice day

The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?

Answers

Answer: D) the significance level of the test

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

Explanation:

The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.

The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.

If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".

Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).

The height of the equilateral triangle is 3√3 cm.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.

The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.

By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).

However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).

Therefore,

The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.

Now,

The height of an equilateral triangle can be found using the formula:

height = (side length / 2) x √3

The side length = 6 cm

So,

height = (6 / 2) x √3

           = 3√3 cm

Therefore,

The height of the equilateral triangle is 3√3 cm.

Learn more about hypothesis testing here:

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Ту
5
How many points need to be removed from this graph
so that it will be a function?
4
3
2
1
1 point
O 2 points
O 3 points
O 4 points
2 3 4 5
х
54 -3 -2 -11
-24
-3
.
-4
.

Answers

Answer:

We need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-3           2

-3           3

1             4

1            -4

2           -2

2            -4

It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.

In other words, there are 3 duplicated pairs.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Thus, we need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is the ladder's angle of elevation?

Answers

Answer:

70.5°

Step-by-step explanation:

To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine

= cos θ = Adjacent/Hypotenuse

Where

Adjacent = Distance of the base from the house = 10ft

Hypotenuse = Length of the ladder = 30 ft

cos θ = 10/30

cos θ = 1/3

θ = arc cos 1/3

θ = 70.528779366

Approximately = 70.5°

Therefore, the ladder's angle of elevation is 70.5°

A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?

Answers

Answer:

1/10

Step-by-step explanation:

20 STUDENTS, 2 chosen

2)
Which graph represents a function?
A)
B)
A
D)

Answers

Answer:

it should be c im pretty sure it's a quadratic function graph

A rectangular piece of wood measuring 360 CM by 280 cm is cut into small identical squares of largest possible length. Find
a the length of each square.
b the total no. of wooden pieces​
Please helpp really would appreciate

Answers

I'm not sure if it's correct..........

Jillian exercises 4 times a week she runs 2 miles each morning and bikes in the evening if she exercises a total of 28 miles for the week how many miles does she bike each evening

Answers

Answer:

5 miles

Step-by-step explanation:

Total miles Jillian runs in a week = 4 x 2 miles = 8 miles

Total miles she bikes each week = total miles in a week - total miles Jillian runs in a week

28 miles - 8 miles = 20 miles

Miles she bikes in a week =20/4 = 5 miles

HELP ME PLEASE IM DESPERATE

Answers

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Lehana and Marty each opened a savings account with a deposit of $100.
● Lehana earned 2.5% simple interest per year.
● Marty earned 2% simple interest per year.
● Neither of them made additional deposits or withdrawals.
How much more did Lehana receive in interest than Marty after three years?

Answers

Answer:

100*.025*3=7.5 100+7.5=107.5

100*.02*3=6 100+6=106

107.5-106=1.5

$1.50

Step-by-step explanation:

thats it

Pls help i dont understand i really need help

Answers

Answer:

I need to know the question before I can help?

Step-by-step explanation:

Can you tell us the question

the answer are 1/2 1/3 1/8 1/24​

Answers

The answer is 1/24 because the first spinner has a chance of 1/6 and the second spinner has a chance of 1/8.

Answer:

1/24

Step-by-step explanation:

The first spinner has 6 letters. The letter A is 1 of those letters. So, the probability of the pointer landing on A is 1/6.

The second spinner has 8 numbers. The numbers 3 and 6 are 2 out of those 8 numbers. So, the probability of the pointer landing on 3 or 6 is 2/8 or 1/4.

Now multiple the two probabilities together.

1/6 × 1/4 = 1/24

Hope that helps.

Write an equation for the line shown on the graph.
y =3/2 x - 2
y = 2/3x + 1
y = 2/3x - 2
y =3/2 x + 1

Answers

Answer: y = 2/3x +1 (the second option)

Step-by-step explanation:

Equation: y = mx + bm (slope) = 2/3 --> rise over runb (y intercept) = 1

The required equation will be y = -0.5x + 27.5 which is shown on the given graph.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

According to the given graph,

We can see two points are (-3, -1) and (3, 3)

The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Here

x₁ = -3, y₁ = -1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

Substitute values in the equation, we get

⇒ y - (-1) = (3 - (-1))/(3-(-3))(x-(-3))

⇒ y + 1 = (4)/(6)(x + 3)

⇒ y + 1 = 2/3(x + 3)

⇒ y = (2/3)x + 2 + 1

⇒ y = (2/3)x + 3

⇒ 3y = 2x + 9

Thus, the required equation will be 3y = 2x + 9.

Learn more about the Linear equations here:

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PLZ HELP ME
saeszxdrctfvgybhunjimkoploihuy7gt5rdesxrdfghbinug 6frbed46c5rtf

Answers

Answer:

Sorry just trying to get pts

Step-by-step explanation:

The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference between the elevations of the town and lake?

Answers

Answer:

425

Step-by-step explanation:

2. Solve the equation for x.
14 - x = 5x - 4

Answers

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

The sum of two complimentary angles is 90. . For one pair of complimentary angles, the measure of the first angle is 15 less than twice the measure of the second angle.

Answers

Answer:

[tex]x=55 \textdegree[/tex]

[tex]y=35 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

[tex]x=2y-15[/tex]

Therefore

[tex]2y-15 +y=90[/tex]

[tex]3y=105[/tex]

[tex]y=\frac{105}{3}[/tex]

[tex]y=35 \textdegree[/tex]

Therefore

[tex]x+35=90[/tex]

[tex]x=90-35[/tex]

[tex]x=55\textdegree[/tex]

HELP!!!

Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|

Answers

The answer to the question is: A.4 x=4

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

Subtract.

(9x + 7) - (x+3) = ?​

Answers

Answer:

8x+4

Step-by-step explanation:

(9x+7)-(x+3) first - multiply both x and 3 so it will be :

9x+7-x-3 and then collect like terms

9x-x+7-3

8x+4

If it's helpful ❤❤❤

THANK YOU

What is the angle for a and b

Answers

A is 64. B is I have no clue

Multiplying binomials using area model.

Answers

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

A rental car company charges drivers a flat fee to rent a car plus $.25 for each mile they drive if a driver paid $100 and drives 160 miles which equation can he use to find his total cost y in terms of the number of miles driven x

Answers

160(.25) + 100 = y

y= 140

PLS HELP!!!!! Use the given parallelogram to find the length of side AB

Answers

Answer:

x+3=2x-6

2x-x=3+6

x=9

AB=9

What is the value of this function when x = 9?

Please help!

Answers

Answer:

Undefined

Step-by-step explanation:

If x = 9, then.......

[tex]f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=[/tex] Undefined

Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form

Answers

3^2
Here’s the working out;
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