The difference of two supplementary angles is 24 degrees. Find the measure of the angles.

Answers

Answer 1

Answer:

102, 78

Step-by-step explanation:

angle 1= x

angle 2= x-24

x+x-24=180

x=102

x-24=78

102+78=180

Answer 2

The measure of the angles are 102 and 78 degrees

Let one of the angles be xLet the other angle be y.

If the difference of two supplementary angles is 24 degrees, then;

x - y = 24

y = x - 24

Taking the sum of the angles and equating to 180 degrees since they are supplementary

x + y = 180

x + x - 24 = 180

2x = 180 + 24

2x = 204

x = 102

Since y = 180 - x

y = 180 - 102

y = 78 degrees

Hence the measure of the angles are 102 and 78 degrees

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Related Questions

Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information.Elevation Zone Number of Artifacts Number Unidentified7000-7500 ft 114 715000-5500 ft 142 23Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area.(a) Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.)lower limit: upper limit:

Answers

Answer:

Step-by-step explanation:

Determine which of the following relations is a function.

Answers

Answer:

The farthest left box.

Step-by-step explanation:

In order for a relation to be a function, the order of numbers must be constant from the input to the output. The other numbers do not have a consistent value, but the one on the far left is x=+5 and y=-5, and it continues this way throughout the relation.

Hopefully this helped!

Answer: Hi! I am doing the same school program and the answer is A and C! Hope this helps.

I need help with this problem

Answers

Answer:

Step-by-step explanation:

ill help

In a large population, 69% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that At least one of them has been vaccinated?

Answers

Answer:

0.991

Step-by-step explanation:

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

P = 1 - Q

Now if 69% are vaccinated, then 31% are not vaccinated.

Thus any given person has a probability of 0.31 of not being vaccinated.

Q = (0.31)^4 = 0.00924

P = 1 - 0.00924 = 0.991

PLS HELP
f(1) = -6
f(2) = -4
f(n) = f(n - 2) + f(n - 1)
f(3) =

Answers

Answer:

f(1) = -6

f(2) = -4

f(n) = f(n - 2) + f(n - 1)

=> f(3) =  f(2) + f(1) = -6 + (-4) = -10

Hope this helps!

:)

Answer:

f(3)=-10

Step-by-step explanation:

Khan

Given the table of candy distributions below, find P(Not green), the probability
of selecting anything but a green candy at random from a large bag.
Above or below is the list of possible answers

Answers

Answer:

C

Step-by-step explanation:

A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write

Answers

Writing the integral in polar coordinates is less taxing:

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\iiint_Rrf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

The region R is captured by the set of points (in polar, of course)

[tex]R=\left\{(r,\theta)\mid1\le r\le3\land\dfrac{5\pi}4\le\theta\le2\pi\right\}[/tex]

so that the integral is

[tex]\displaystyle\int_{5\pi/4}^{2\pi}\int_1^3rf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

In rectangular coordinates, we have to split up the region so that

[tex]R=R_1\cup R_2\cup R_3[/tex]

where

[tex]R_1=\left\{(x,y)\mid-\dfrac3{\sqrt2}\le x\le-\dfrac1{\sqrt2}\land-\sqrt{9-x^2}\le y\le x\right\}[/tex]

[tex]R_2=\left\{(x,y)\mid-\dfrac1{\sqrt2}\le x\le1\land-\sqrt{9-x^2}\le y\le -\sqrt{1-x^2}\right\}[/tex]

[tex]R_3=\left\{(x,y)\mid1\le x\le3\land-\sqrt{9-x^2}\le y\le0\right\}[/tex]

and the integral is split into 3 over these regions,

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\sum_{n=1}^3\iint_{R_n}f(x,y)\,\mathrm dx\,\mathrm dy[/tex]

The base of a prism is never a

Answers

Answer:

circle,oval overall its never round or with curves

Step-by-step explanation:

The base of a prism is never a ''Circle''. Because by definition Circular prism is not a prism.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the never possible shape of base of prism.

Now, We know that;

A prism is a solid that has two faces that are parallel and congruent.

Hence, If you take any cross section of a prism parallel to those bases by making a cut through it parallel to the bases, the cross section will look just like the bases.

Hence, Circular prism is not a prism according to definition.

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[25x^{2} + 16y^{2}

plz factor

Answers

Answer:

[tex](5x)^2+(4y)^2[/tex]

Step-by-step explanation:

[tex]25x^2+16y^2=\\(5x)^2+(4y)^2[/tex]

Hope this helps!

can someone help me please

Answers

Answer:

  y = (-1/80)x^2 +2x

Step-by-step explanation:

The graph of the equation for the arch will go through the points ...

  (0, 0), (160, 0), (80, 80)

We can start by making use of the zeros to write the function ...

  y = a(x -0)(x -160)

To make the graph go through the point (80, 80), we must have ...

  80 = a(80 -0)(80 -160) = (-80^2)a

  -1/80 = a . . . . . . divide by the coefficient of "a"

So, our equation is ...

  y = (-1/80)x(x -160)

  y = (-1/80)x^2 +2x

Mrs.Mark has 3/4 pond of cheese to use making sandwiches. She uses about 1/34 pound of cheese on each sandwich. How many sandwiches can she make with the cheese she has?

Answers

Answer:

Step-by-step explanation:  Divide

3

4

which is the amount of cheese she has,

by

1

32

which is the amount of cheese required for each sandwich.

3

4

1

32

This is a complex fraction.

Simplify the fraction by multiplying both the numerator fraction and the denominator faction by the inverse of the bottom fraction

1

32

3

4

×

32

1

1

32

×

32

1

The bottom fraction times its inverse is equal to

1

leaving

3

4

×

32

1

4

divides out of

4

and

32

leaving

3

×

8

=

24

sandwiches

Help me please.. Also look in comments

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the the shape is going to end up in the third quadrant.the squadron only includes both negative X values and negative y values meaning that both X and y will be negative.

Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.





Whoever that answers I will mark you as brilliant

Answers

Answer:

85.6cm

Step-by-step explanation:

Area of a triangle =1/2*b*h

Where base=19.5cm while the height is 8 4/5 = 8.8

Area = 1/2 * 19.5cm * 8.8cm

Area = 171.6cm/2

Area=85.6cm

URGENT


A kite flying at a height of 65 m is attached to a string inclined at 31° to the ground. What is the length of the string? (please show work)

Answers

Sin31=opp/hyp=65 length

L*sin31=65

L=65/sin31

L=126.20

Rufus invest 10,000 in a savings account that pays 3.5 simple interest each year. If Rufus makes no withdrawal or deposits to the account how much money will be in the account after 7 years ?

Answers

Answer:

$1272.28

Step-by-step explanation:

Our equation is

[tex]p*(1+x)^{t}[/tex] , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

[tex]1000*(1+0.035)^{7}[/tex] = around 1272.28

find the value of the x in the isoscelies triangle shown below.

Answers

Answer:

10

Step-by-step explanation:

x = root(6^2 + 8^)

...............

Convert the equations into slope intercept form,

then identify the slope and y-intercept.


1. -x + y = 3

m=

b=

2. -4x + 2y = 6

m=

b=

3. 2x + =3

m=

b=

Answers

Answer:

1. -x + y = 3

m=  1

b=  3

2. -4x + 2y = 6

m=  2

b= 3

Step-by-step explanation:

Slope intercept is form to write equation for straight line.

It is represented as  y = mx+ b

where m is the slope of line

B is the y intercept (pint on y axis where the line crosses y axis)

________________________________________________

Given

1. -x + y = 3  

we need to convert this line in form of y = mx+ b

-x + y = 3

to do this we have to move - x from LHS to RHS

it can be done by adding both side +x which will eleminate -x from LHS

-x + y + x = 3 + X

=>y = 3 + x

=> y = x +c

Thus comparing it with slope form line: y = mx+ b

m =1

b = 3

__________________________________________________

Given

1. -4x + 2y = 6  

we need to convert this line in form of y = mx+ b

-4x + 2y = 6

to do this we have to move + 4x from LHS to RHS

it can be done by adding both side +4x which will eleminate -4x from LHS

-4x + 2y + 4x= 6 +4x

=>2y =6 +4x

Now we have to remove 2 from 2y =6 +4x

To do this we divide both side by 2 . now we have equation

=>  2y/2 =(6 +4x)/ 2 = 6/2 + 4x/2

=> y = 3 + 2x

Thus comparing it with slope form line:  y = mx+ b

m = 2

b = 3

__________________________________

Third part has 2x + =3 has y missing

it can be solved similarly.

say in place of y we have my where m is coefficient of y

2x + my =3

to do this we have to move + 2x from LHS to RHS

it can be done by subtracting -2x from both side  which will eleminate 2x from LHS

2x + my -2x =3 -2x

=>my =3 -2x

Now we have to remove m from my =3 -2x

To do this we divide both side by m . now we have equation

=>  my/m =(3 -2x)/ m = 3/m -2x/m

=> y = 3/m - 2x/m

Thus comparing it with slope form line:  y = mx+ b

m = -2/m

b = 3/m

For the given​ data, (a) find the test​ statistic, (b) find the standardized test​ statistic, (c) decide whether the standardized test statistic is in the rejection​ region, and​ (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. ​
Claim: μ1 < μ2​, α = 0.01. Sample​ statistics: x^-1 = 1240, n1 = 40, x^-2 = 1200 and n2 = 80. Population​ statistics: σ1 = 65 and σ2 = 110.
(a) The test statistic for μ1 - μ2 is _________.
(b) The standardized test statistic for μ1 - μ2 is __________. (Round to two decimal places as needed.)
(c) Is the standardized test statistic in the rejection region?
O Yes Ο Nο
(d) Should you reject or fail to reject the null hypothesis?

Answers

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

  The test statistic for μ1 - μ2 is   [tex]\= x_1 - \= x_2 = 40[/tex]

b

  The standardized test statistic for μ1 - μ2 is   [tex]z = 2.5[/tex]

c

  No

d

    Fail to reject null hypothesis  [tex]H_O : \mu_1 \ge \mu_2 ; H_a : \mu_1 < \mu_2[/tex] At the 1% significance level , there is insufficient evidence to support the claim

Step-by-step explanation:

From the question we are told that

The given data is  

         [tex]\= x_1 = 1240[/tex]

          [tex]\= x_2 = 1200[/tex]

           [tex]n_1 = 40[/tex]

           [tex]\alpha = 0.01.[/tex]

          [tex]n_2 = 80.[/tex]

           [tex]\sigma 1 = 65 \ and\ \sigma2 = 110.[/tex]

Now the test statistic is mathematically evaluated as

           [tex]\= x_1 - \= x_2 = 1240 -1200[/tex]

          [tex]\= x_1 - \= x_2 = 40[/tex]

 The standardized test​ statistic is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2}{\sqrt{\frac{\sigma_1^2}{n_1} } + \frac{\sigma_2^2}{n_2} }[/tex]

substituting values

     [tex]z = \frac{\= 1240 - \= 1200}{\sqrt{\frac{65^2}{40} } + \frac{110^2}{80} }[/tex]

     [tex]z = 2.5[/tex]

Now  the standardized test​ statistic is not in the rejection region because the z value of  [tex]\alpha[/tex]  is  2.33 and  the standardized test​ statistic  is greater than that hence it is not in the rejection region

This implies that the test statisties failed to reject the null hypothesis at significance level of 0.01 , there insufficient evidence to support the claim

The equation of a function is y = 10 – 9x.Find the value of x when

y = -8,


y = -26

Answers

Answer:

x = 2, x = 4

Step-by-step explanation:

The equation y = 10 - 9x is a linear equation and the value of either y or x can be found by substituting the given values of either y or x.

given that y = -8, and substituting this into equation y = 10 - 9x,

we have, -8 = 10 - 9x

10 + 8 = 9x

9x = 18; dividing both sides by 9

x = 2

given that y = -26, and substituting this into equation y = 10 - 9x,

we have, -26 = 10 - 9x

10 + 26 = 9x

9x = 36; dividing both sides by 9

x = 4

What does X equal please help I don’t want to do summer school!!!

Answers

Answer:

180-165 = 15 (remember how a line is always 180 degrees)

Answer:

15

Step-by-step explanation:

Since 180-165=15. That is the answer for x.

PLZ MARK BRAINLIEST!!!

What is the rectangular equivalence to the parametric equations?

x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .

Answers

Answer:

[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex] (An ellipse)

Step-by-step explanation:

Let consider the following trigonometric identity:

[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]

Each trigonometric function is cleared respectively in given parametric equations:

[tex]\cos \theta = \frac{x-2}{3}[/tex] and [tex]\sin \theta = \frac{y + 1}{2}[/tex]

The equivalent expression in rectangular form is:

[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex]

Which represents an ellipse.

$56 they are 25% off wants to know what is the discount price

Answers

Answer:

$42

Step-by-step explanation:

This is an example of a percentage decrease.

To work out the percentage decrease you would first need to convert the percentage of 25% into a decimal. You can do this by dividing the percentage  of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

To work out the discounted price you would multiply the amount of $56 by 0.75, this gives you $42.

1) Divide 25 by 100.

[tex]25/100=0.25[/tex]

2) Minus 0.25 from 1.

[tex]1-0.25=0.75[/tex]

3) Multiply $56 by 0.75.

[tex]56*0.75=42[/tex]

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1

Answers

Answer:

[tex] P(z<1.13) = 0.8708[/tex]

And the best option would be:

[tex] 0.8708[/tex]

Step-by-step explanation:

We assume that the distribution for the random variable is:

[tex] X \sim N (\mu=0 , \sigma=1) [/tex]

For this case we want to calculate the following probability:

[tex] P(z<1.13)[/tex]

And we can use the normal standard distribution or excel and we got:

[tex] P(z<1.13) = 0.8708[/tex]

And the best option would be:

[tex] 0.8708[/tex]

To evaluate the effectiveness of a treatment, researchers often measure individuals before and after treatment, and record the amount of difference between the two scores. If the differences average around zero, it is an indication that the treatment has no effect. However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect. For example, Kerr, Walsh, and Baxter (2003) evaluated the effectiveness of acupuncture treatment by measuring pain for a group of participants before and after a 6-week treatment program. Hypothetical data, similar to the results of the study, are as follows. Note that each score measures the difference in pain level after treatment compared to the pain level before treatment. A positive score indicates more pain before treatment than after.
+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

Required:
a. Compute the mean for the sample of n=20 scores.
b. Does it appear the treatment has an effect? How do you know?

Answers

Answer:

Step-by-step explanation:

researchers often measure individuals before and after treatment, and record the amount of difference between the two scores.

If the differences average around zero, it is an indication that the treatment has no effect.

However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect.

A positive score indicates more pain before treatment than after.

a. The mean of the sample for n = 20 scores is

+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

4 + 5 + 2 + 0 + 7 + 4 + 3 + 3 + 2 + (-2) + 1 + 6 + 0 + 4 + (-1) + 3 + 5 + 4 + 2

    = 55-3 / 20

   = 52/20 = +2.6

b. An average of +2.6 was estimated thus, it appears the treatment has an effect as a positive sign indicates more pain before treatment than after.

Need help with Math.

Answers

Answer:

  4^(11/20)

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

Using that here, we have ...

  4^(3/4)/4^(1/5) = 4^(3/4 -1/5)

  = 4^(15/20 -4/20) = 4^(11/20)

Max and Leah each have a lemonade stand . Max sold 12 glasses the first hour and 10 glasses each hour after that . Leah sold 8 glasses the first hour and 10 glasses each hour after that . How many glasses will each person have sold after 5 hours?

Answers

Answer:

max wil sell 52 because the first hour he sold 12 5hours -1 hour = 4 hour

4 hour × 10 p/h= 40

max sold 12+40 =52

leah will sell 58 because the first hour she sold 8

5hours - 1hour = 4 hours

4hours× 10 glasses p/h = 40

leah sold 40+8 =48 glasses

If Max and Leach sold 10 glasses each hour then after Max sold 52 glasses after 5 hours and Leach sold 48 glasses after 5 hours because it forms arithmetic progression.

What is an arithmetic progression?

It is a type of sequence in which each number have a common difference from the other number. The nth term of an arithmetic progression can be calculated as a+(n-1)d.

How to calculate nth term of an A.P.?

For Max we have been given that the first term is 12 and the common difference is 10.

After 10 hours the glasses which Max will sell as 12+(5-1)*10

=12+40=52 glasses

For Leach we have been given that the first term is 8 and the common difference is 10.

After 5 hours the glasses which Leach will sell as 8+(5-1)*10

=48 glasses.

Hence the number of glasses will be 52 and 48 glasses for Max and Leach.

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Female athletes receive 25

Answers

okay and? what’s next

Sayid is buying a frame to go around the perimeter of a painting his daughter made. Each inch of framing costs ​$0.40. What is the total cost of the framing for the​ painting? . What is the first step you need to​ do? What is the answer to the first​ step? Write an equation to show your work. Choose the correct first step below.

Answers

Answer:

The total cost of the framing for the painting is $0.40·P

Step-by-step explanation:

The first step to be done is to measure the length of the perimeter of the painting

Whereby the perimeter of the painting is p inches long, then the total cost of the framing will be found to be as follows

Total cost of framing = Cost per inch of framing × Perimeter of painting

∴ Total cost of framing = $0.40 × p

The total cost of the framing for the painting = $0.40·P.

If our monthly income is $1,450 and your house payment is $1,125, what fraction of your monthly income must go to pay your house payment?

Answers

Answer:

1125/1450 or simplify it, 45/58

Step-by-step explanation:

1125/1450 or simplify it, 45/58

What is th he sum of the first seven terms of the series -3+6-12+24-...?

Answers

Answer:

-129

Step-by-step explanation:

-3+6-12+24-48+96-192=

6+24+96-3-12-48-192=

126-255=

-129

Hope this helps!

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