An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer 1

Answer:

Step-by-step explanation:

If an angle measures x degrees, the measure of its supplement is (180-x) degrees.

This means that x-62.4 = 180-x, meaning that x=121.2.

So, the angles are 121.2 and 58.8 degrees.


Related Questions

help its for calculus

Answers

Answer:

maybe its e(1/y)

Answer:

it should be e(1/y)

Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.

Answers

Using the binomial distribution, it is found that the expected value of his test score is of 6.8.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, the parameters are given as follows:

For the first 6 questions, n = 6 and p = 1.For the last 4 questions, n = 4 and p = 1/5 = 0.2.

Hence, the expected score is given by:

E(X) = 6 x 1 + 4 x 0.2 = 6.8.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A.

Step-by-step explanation:

Find the axis of symmetry and the vertex of the graph of the function.
g(x) = 2x^2+12x+4

Answers

so hmmm from the equation we can see that is in "x terms" so the independent variable is "x", that tells us the parabola is a vertical one, leading term's coefficient is "2", that means it opens upwards like a bowl.

on a vertical parabola the axis of symmetry is the x-coordinate of its vertex, let's find the vertex of this one.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 12}{2(2)}~~~~ ,~~~~ 4-\cfrac{ (12)^2}{4(2)}\right)\implies \left( -3~~,~~4-\cfrac{144}{8} \right) \\\\\\ (-3~~,~~4-18)\implies (\stackrel{x}{-3}~~,~~-14)~\hfill \stackrel{\textit{axis of symmetry}}{x=-3}[/tex]

Find the volume of the figure. If necessary, round your answer to the nearest tenth.

Answer choices
A: 441.6 cm^3
B: 883.2 cm^3
C: 147.2 cm^3

Answers

Here is the answer and explanation I wrote:

Answer:

A

Step-by-step explanation

math

Ed Galaxy- Operations with whole numbers and decimals ​

Answers

Answer:

0.6

Step-by-step explanation:

1.0l-0.4l=0.6L

Paul bought 4 DVDs for $9.95 each. What was his total cost?

A.$39.90

B.$40.80

C.$39.80

D.$38.80

Answers

I believe it’s C $39.80 $9.95 x 4

2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.

Answers

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

2x+5y<19

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

x-2y<-9

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

Solution Region

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

x < ( ) . . . . . shading left of the dashed line

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-term

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

1) A user must be at least 13 years old to set up a video-sharing account.
Let x be the age in years of a user who can set up an account.
Which inequality represents the situation?

Answers

Answer: x [tex]\geq[/tex] 13

Step-by-step explanation: quite simple actually, since the user must be AT LEAST 13 years old to set up the account, the equation would be X is greater than or equal to 13.

Hope this helps

Use a net to find the surface area of the cylinder. Use 3.14 for pie

Answers

Answer:

62.83

nearest tenth 62.8

Simplify: 4/15+7/8-11/12​

Answers

Answer:

[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

LCD: 120

[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]

[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]

[tex]\frac{27}{120}[/tex]

[tex]\frac{9}{40}[/tex]

Hope this helps!

Answer:

9/40

hope this helps.

Lilit and Sergio sold candles for a class trip. On the first day, Lilit sold 8 candles and Sergio sold 10 candles. For the next three days, both sold another 3 candles each day.PLEASE HELP

Answers

Answer:

Lilit- 17 candles

Sergio- 19 candles

Step-by-step explanation:

this is the most probable answer.

Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?

Answers

562.79 ounces

Step-by-step explanation:
The amount of dark chocolate that Nicholas bought will be:
= 776.25 - 213.46
= 562.79 ounces

The first three and last terms of an arithmetic sequence are 7, 13, 19,..., 1357.
(a) Find the common difference.

Answers

Answer:

6

Step-by-step explanation:

common difference = (n + 1) - nth term = 13 - 7 =6

Answer:

subtract 6 every time

Step-by-step explanation:

you subtract first term from second term

If you can help me with this please and thank you

Answers

Answer:

1) im not sure

2) im not sure

3) 72 degrees

Step-by-step explanation:

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.



29 i

29 i - 20

- 21 i

29

Answers

(2 - 5i) (2 + 5i) (i)
(4 + 10i - 10i -25) (i)
(4 - 25) (i)
-21i

The original price is $125. The sale price is $81.25. How much was the discount as a percent?

Answers

Answer: 35%

Step-by-step explanation:

Start by subtracting the original price by the sale price.

125-81.25=43.75

Now divide that amount by the original price.

[tex]\frac{43.75}{125} =0.35[/tex]

Multiply that value by 100 for the answer

0.35×100=35

35%

Answer:

Discount Percent = 35.00 %

Step-by-step explanation:

125-81.25=43.75 actual discount

43.75/125 = 0.35 actual discount / original

0.35 as percentage = 35%  

Errin bought stock in XYZ Corporation for $100 per share. One month later the stock was up 10%. After another month the stock fell 10%. a. What was the price of the stock after the first month? b. What was the price of the stock after the second month?​

Answers

Answer:

350 sum

Step-by-step explanation:

omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!

Answers

Answer:

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69...........(1)

x = 2y - 3

x - 2y = -3...........(2)

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.

Answer:

one number would be 63 and the other would be 6

Step-by-step explanation:

69/2=34.5

it says 3 less which means minus 3, so you would:

34.5-3=31.5

then it says twice the smaller number, so you would:

31.5*2

Set up a system of equations for the given word problem:

Tyrone placed two orders with a nursery. The first order was for 10 bushes and 6 trees, which totaled $568. The second order was for 9 bushes and 3 trees, which totaled $348.

-

Set up a system of equations for the given word problem:

The admission fee at a small fair is $3.50 for children and $6.00 for adults. On a certain day, 1500 people enter the fair and $7,580 is collected.

Answers

Answer:

For the first problem:

10b + 6t = 568

9b + 3t = 348

For the second problem:

c + a = 1500

3.50c + 6a = 7580

1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

i need help with #7 c and d

Answers

Answer:

  c. 33.0%

  d. 14.5%

Step-by-step explanation:

For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.

__

c.

Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...

  32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard

__

d.

The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...

  24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard

_____

Additional comment

a. 97/166 ≈ 58.4% surf

b. 89/166 ≈ 53.6% do not skateboard

__

This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.

Suppose there are 20 equally-sized marbles in a bag. Six marbles are blue, seven red, three of them orange, three of them black, and one green. If you choose a red marble, you win nothing. Selecting a blue marble will win you 25 cents. Selecting an orange marble will win you 50 cents, selecting a black marble will cost you a dollar, and if you choose the green one, you win three dollars.

Answers

Answer:

i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9

just blue- $1.50

just orange- $1.50

just black- $3

just green- $3

red=$0

brainliest if right so who can get it right

Answers

Answer:

1.   E:  20a - 18

2.  D:  42

3.  G:  17b + 3

4.  I:  105

CODE: EDGI

Step-by-step explanation:

Question 1

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

width = 2a + 3length = 8a - 12

Perimeter = 2(2a + 3) + 2(8a - 12)

                 = 4a + 6 + 16a - 24

                 = 20a - 18

Question 2

When a = 3

⇒ perimeter = 20(3) -18

                     = 60 - 18

                     = 42 centimeters

Question 3

The dashes on the side lengths mean those sides are equal in length.

⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)

                     = 17b + 3

Question 4

When b = 6

⇒ perimeter = 17(6) + 3

                     = 102 + 3

                     = 105 meters

Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft

Answers

Answer:

x = 466.7 fty = 240.3 ft

First find the inner angle:

90° - 31°59°

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

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

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]

Find the area of the polygon.

Answers

Answer:

95 m

Step-by-step explanation:

you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m

Please Help Me ASAP.

Answers

Answer:

x > -10

Step-by-step explanation:

5 - 3x > 35

-5           -5

-3x > 30

[tex]\frac{-3x > 30}{-3}[/tex]= x > -10


PLEASE HELP ME OUT AND PLEASE

Answers

Answer:

65⁰ because the opposite angles of parallelogram are equal...

(4x^2+9x-7)-(-7x^2+5x-1)
(4x
2
+9x−7)−(−7x
2
+5x−1)

Answers

Step-by-step explanation:

I think the expression is

(4x² + 9x - 7) - (-7x² + 5x - 1)

and that is the same as

4x² + 9x - 7 + 7x² - 5x + 1 =

= 11x² + 4x - 6

remember that the combination of two '-' signs turns this into one '+' sign.

to subtract a negative number is indeed the same as adding a positive number with the same absolute value.

How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?

Answers

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

HELP PLEASEE!!!

A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?

Answers

Answer:

3.125 cubic unit i guess

Answer:

3.125 unit cube is the answer i hope i helped u

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