How should I prove this???​

How Should I Prove This???

Answers

Answer 1
Since UVX is 90 degrees Angle 6 and Angle 5 are complementary. Then, Angle 5 and Angle 4 are the same since they were bisected by WVY. This makes Angle 4 and Angle 5 the same, so you can say that Angle 6 + Angle 5 are complementary and Angle 6 and Angle 4 are complementary.

Related Questions

und
circumference - 150 m
What is the measure of its radius?

Answers

Answer:

The radius is 75m

Answer:

[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]

Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.

Answers

Answer:

5 + 2 x 7 + 6

Step-by-step explanation:

Answer:

A: 7*(5-2)+6

explanation: it's really easy

Ajar contains 30 red, 40 blue, and 50
white buttons. You pick one button
at random, find the probability that it
is blue.

Answers

Answer:

1/3

Step-by-step explanation:

so we are picking 40 blues from total number of buttons 120.

40 divided by 120 is 1 over 3.

Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line

Answers

Question:

Jordan is cutting a 2 meter by [tex]1\frac{1}{4}[/tex] meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].

Solution:

Length of the paper = 2 m

Width of the paper =  [tex]1\frac{1}{4}[/tex] m =  [tex]\frac{5}{4}[/tex] m

Area of the rectangle = length × width

                                    [tex]$=2\times \frac{5}{4}[/tex]

                                    [tex]$= \frac{5}{2} \ m^2[/tex]

Diagonal of a rectangle divides it into two equal parts.

Area of each piece = Area of the rectangle ÷ 2

                                [tex]$=\frac{ \frac{5}{2}}{2}[/tex]

                                [tex]$=\frac{5}{4} \ m^2[/tex]

                                [tex]$=1 \frac{1}{4} \ m^2[/tex]

Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].

Complete the statements below that show y = x2 + 2x - 1 being converted to vertex form.

Answers

Answer: (-1,-2) Sowwy if im wrong

Step-by-step explanation:

Answer:

1 and 1

Step-by-step explanation:

Please help me! Pic included! will mark brainliest!

Answers

Answer:

B) Point G

Step-by-step explanation:

Because point G is equidistant to all of the angles, and cuts all of the sides in half

1) 4x - 5y = -22
-2x + 5y = 26

Answers

Point form:
(2,6)

Equation form:
X=2, y=6
Answer:

X=2


Explanation: simultaneous equations
4x-5y=-22.....1

-2x+5y=26.....2

Add equation 2 to equation 1

2x=4

Divide both sides by two

X=2

For questions 3 - 5, answer the questions about the equations.
3. How many solutions are there to this equation?
3(x - 4) + 5 - x= 2x-7

Answers

Answer:

  infinite solutions

Step-by-step explanation:

Eliminate parentheses and collect terms:

  3x -12 +5 -x = 2x -7

  2x -7 = 2x -7

This is true for any value of x. There are an infinite number of solutions.

A 15-foot ladder leans against a wall and makes an angle of 65° with
the ground. What is the horizontal distance from the wall to the base
of the ladder, to the nearest tenth of a foot?​

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

The horizontal distance from the wall to the base of the ladder is 6.3-foot and it can be determined by using trigonometric ratios.

Given that,

A 15-foot ladder leans against a wall and makes an angle of 65° with the ground.

We have to determine,

What is the horizontal distance from the wall to the base of the ladder?

According to the question,

Let, the horizontal length be x,

The length of the hypotenuse is 15-foot.

And the angle is 65 degrees.

Then,

The horizontal distance from the wall to the base of the ladder is,

[tex]\rm Cos\theta = \dfrac{Horizontal \ distance}{Perpendicular}\\\\Cos65 = \dfrac{x}{15}\\\\x = Cos65 \times 15\\\\x = 0.42 \times15\\\\x = 6.3 \ foot[/tex]

Hence, The horizontal distance from the wall to the base of the ladder is 6.3-foot.

To know more about Trigonometry click the link given below.

https://brainly.com/question/13710437

twice a number divide by 6 is 42

Answers

Answer:   126

Step-by-step explanation:  42 times 6 equals 252, 252 divided by 2 equals 126

What is 2.3375 rounded to the nearest dollar

Answers

Answer:

2.34

Step-by-step explanation:

Nope, it is 2.34 because you round it off and the 2 stays the same the three does to but the other 3 turns into a 4 because the number next to it which is a 7 is 5 and higher so that makes it 2.34 this would make sense from a mathematician even if my profile doesn't say it.

Answer:

The answer is $2

step-by-step explanation:

You are adding 6[tex]\frac{3}{4}[/tex] + 3[tex]\frac{2}{3}[/tex] using fraction strips. Explain how you rename the fraction part of the sum.

Answers

Step 1: find a common denominator, in this case it is 12.
Step 2: Multiply the numerators by the same number that you multiplied the denominators by to find the new numerators. You should get 9/12 + 8/12
Step 3: Add the fractions. You should get 17/12 which equals 1 5/12
Step 4: add the whole number. You should get 9
Step 5: add the whole numbers and the fraction. 9 + 1 5/12. You should end up with 10 5/12.

Answer:

10 5/12

Fraction part: 5/12

Step-by-step explanation:

6¾ + 3⅔

6 + 3 + ¾ + ⅔

9 + [3(3) + 4(2)]/12 12 is the LCM

9 + (9+8)/12

9 + 17/12

9 + (12+5)/12

9 + 1 + 5/12

10 5/12

is 419108 divisible by 4?​

Answers

Answer:

419,108 is divisible by 4

Step-by-step explanation:

419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.

Answer:

yes

Step-by-step explanation:

At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.

This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.

The sum of four consecutive even integers is-28

Answers

Answer:

  -10, -8, -6, -4

Step-by-step explanation:

Perhaps you want to know what they are.

__

The odd number between the middle two is their average value: -28/4 = -7.

The integers are -10, -8, -6, -4.

Answer: The even integers are -10, -8, -6 and -4

Step-by-step explanation:

Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6

Thus, x + (x+2) + (x+4) + (x+6) = -28

4x + 12= -28

Make x the subject of the equation

4x= -28 - 12

4x= -40

x = -10,

since the x = -10,

x + 2= -10 + 2= -8

x + 4= -10 +4 = -6

x + 6= -10 + 6= -4

I hope this helps.

54 months = _____ years 5.4 years 4 years 4.5 years 5 years

Answers

Answer:

4.5

Step-by-step explanation:

54 divided by 12= 4.5

12 becuase there are 12 months in a year.

Answer:

4.5 i did the test on got it right

Step-by-step explanation:

A 1,000 gallon pool (no top) with a rectangular base will be constructed such that the length of the base is twice the width. Find the dimensions (length, width, and height) of the pool that minimize the amount of material needed to construct it.

Answers

Answer:

W = 4.646 ft

L = 9.292 ft

H = 3.097 ft

Step-by-step explanation:

Let's say the L is the length, W is the width, and H is the height.

The volume of the pool is:

V = LWH

The area of the pool is:

A = LW + 2LH + 2WH

L = 2W, so substituting:

V = (2W)WH

V = 2W²H

A = (2W)W + 2(2W)H + 2WH

A = 2W² + 4WH + 2WH

A = 2W² + 6WH

Solving for H in the first equation and substituting into the second:

H = V/(2W²)

A = 2W² + 3V/W

Find dA/dW and set to 0.

dA/dW = 4W − 3V/W²

0 = 4W − 3V/W²

4W = 3V/W²

4W³ = 3V

W = ∛(¾V)

V = 1000 gallons or 133.7 ft³.

W = ∛(¾(133.7 ft³))

W = 4.646 ft

So L = 9.292 ft and H = 3.097 ft.

f (x) = -3x – 4.
f (2/3)=

Answers

Answer:

f(2/3)=-6

Step-by-step explanation:

f(x) =-3x-4

x=2/3 then

f(2/3)=-3*(2/3)-4=-6/3-4=-2-4=-6

Which set of steps will NOT get you to the point (112,4)?


A. Starting at the origin, go 112 units up and then 4 spaces to the right.


B. Starting at the origin, go 4 spaces up and then 112 spaces to the right.


C. Starting at the origin, go 112 spaces to the right and then 4 spaces up.


D. Put one finger halfway between 1 and 2 on the x-axis, and put another finger at the 4 on the y-axis. Move the first finger up and the second finger to the right until they meet.

Answers

Option  A and D will not get to the required point

Step-by-step explanation:

Step 1 :

a)

Start at origin, go 112 units up and then go 4 unit to the right.

Starting at the origin, 112 units up gives y = 112

then 4 spaces to the right gives x = 4

So the point obtained is (4,112)

Hence option A will not get to the required point

Step 2 :

b)

Starting at the origin, go 4 spaces up and then 112 spaces to the right.

Starting at the origin , 4 spaces up gives y = 4

112 spaces to the right gives x = 112

So we get the point as (112,4)

Option B goes to the required point

Step 3:

c)

Starting at the origin, go 112 spaces to the right and then 4 spaces up.

Starting at the origin, 112 spaces to the right gives x = 112

4 spaces up gives y = 4

We get to the point (112,4)

Hence option C gets to the required point

Step 4:

d)

Doing the procedure in option D gives y = 4, and x as between 1 and 2

Hence this will not get to the required point

Step 5 :

Option  A and D will not get to the required point

Answer:

a)Starting at the origin, go 1 1/2 up units up and then 4 spaces to the right

Step-by-step explanation:

no

what is the area, in square centimeters, of the figure below?

show work please!!

Answers

Answer:

C

Step-by-step explanation:

Here it is: 5.8*2.4=13.92

Answer:

6.96

Step-by-step explanation:

2.4 x 5.8 is 13.92, but since it is a triangle you must divide it by 2. Which makes the answer, 6.96.

A container is in the shape of a cylinder with a hemisphere on the top. The cylinder has radius 5 cm and height 8 cm. The hemisphere has the same radius as the cylinder.

What is the total surface area of the container? Give your answer in cm2 correct to 3 significant figures.

Answers

The total surface area is given by:

The base of the cylinderThe lateral surface of the cylinderThe surface of the hemishpere

The base of the cylinder is a circle with radius 5cm, so its area is

[tex]A=\pi r^2=25\pi[/tex]

The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is

[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]

Finally, the surface of a sphere is given by

[tex]A=4\pi r^2[/tex]

so, half that surface will be

[tex]A=2\pi r^2=50\pi[/tex]

And the total surface area will be the sum of the three areas:

[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]

Answer:

Total surface area of the figure[tex]=486.7cm^2[/tex]

Step-by-step explanation:

Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere

[tex]r= 5cm\\\\h= 8cm[/tex]

Area of the cylinder with the side walls and the the bottom:

          [tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]

             [tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]

Area of the top hemisphere:

                                               [tex]2*\pi *r^2[/tex]

                               [tex]=2*3.14*5*5[/tex]

  Area of the top hemisphere= [tex]157 cm^2[/tex]

Total surface area of the figure [tex]= 329.7+157\\\\[/tex]

                                      [tex]=486.7cm^2[/tex]

Archaeologists want to determine the probability of a certain number of students finding a fossil during an expedition.
The probability of an individual finding a fossil is 22%. What determines the number of successful trials in this study?

the probability of an individual finding a fossil

the probability of an individual not finding a fossil

the number of individuals surveyed who found a fossil

the number of individuals whom the archaeologists surveys

Answers

Answer: I think it might be A

Step-by-step explanation:

help please will give 30+ points

Answers

Answer:

I had this on my quiz hold on.. is is 48.

Step-by-step explanation:

What is the first step in financial planning?
A.
maintaining a log of all your expenses
B.
understanding what you want
C.
preparing a balance sheet
D.
attaching a goal cost to every goal
E.
attaching a time frame to every goal
Reset Next

Answers

Answer:

I think E hope it can help

Which of the following is a solution of x^2 + 5x = -2?

Answers

Answer:

x= -0.4385 or -4.5615

Step-by-step explanation:

x²+5x+2=0

Using almighty formula;

a=1, b=5, c=2

x = [ -b± √( b^2 - 4ac)]/2a

x= -5±√(25-8)/2

x=(-5±4.123)/2

Therefore x=(-5+4.123)/2 or (-5-4.123)/2

x= -0.4385 or -4.5615

The solutions are [tex]\(x = \frac{{-5 + \sqrt{17}}}{2}\) and \(x = \frac{{-5 - \sqrt{17}}}{2}\).[/tex]

To find the solution of the equation [tex]\(x^2 + 5x = -2\), we need to solve for \(x\).[/tex]

Let's rearrange the equation to bring all terms to one side:

[tex]\[x^2 + 5x + 2 = 0\][/tex]

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]

In our equation, [tex]\(a = 1\), \(b = 5\), and \(c = 2\).[/tex]

[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4(1)(2)}}}}{{2(1)}}\]\[x = \frac{{-5 \pm \sqrt{{25 - 8}}}}{2}\]\[x = \frac{{-5 \pm \sqrt{{17}}}}{2}\][/tex]

So, the solutions are:

[tex]\[x_1 = \frac{{-5 + \sqrt{{17}}}}{2}\]\[x_2 = \frac{{-5 - \sqrt{{17}}}}{2}\][/tex]

Thus,  [tex]\(x = \frac{{-5 + \sqrt{{17}}}}{2}\) or \(x = \frac{{-5 - \sqrt{{17}}}}{2}\). These are the solutions to the equation \(x^2 + 5x = -2\).[/tex]

01:5

The US Environmental Protection Agency issues a daily report for pollution levels called the

A. Pollution Advisory Warning

B. Air Rating Level

C. Particulates and Pollution Index

D. Air Quality Index

Please select the best answer from the choices provided.

O

A

OB

Answers

Answer:D

Step-by-step explanation:

The United States Environmental protection agency (EPA) issues the Air Quality Index (AQI) daily report to communicate to the public the quality of the surrounding air( clean or bad). It also forecast how the quality of air in the environment will be in the nearest future.

15 POINTSSSS
HELLLLPPPPP I NEED HEELLLLPPPP
a right rectangular prism is made with 8 small cubes. Each cube has an edge length of 1/5 inch.

What is the volume in cubic inches?

Answers

Final answer:

The volume of a right rectangular prism made from 8 small cubes with an edge length of 1/5 inch each is 8/125 cubic inches.

Explanation:

The question asks for the volume of a right rectangular prism made up of 8 small cubes, with each cube having an edge length of 1/5 inch. To find the volume of the right rectangular prism, we must first understand the volume of a single cube, which is found by multiplying the length, width, and height of the cube. Since each side of a cube is equal, the volume of one cube is (1/5 inch) × (1/5 inch) × (1/5 inch), which equals 1/125 cubic inches.

Next, the volume of the entire prism, which consists of 8 such cubes, is calculated by multiplying the volume of one cube by 8. Therefore, the total volume of the prism is (1/125 cubic inches) × 8, which equals 8/125 cubic inches.

please helppppppppppppppppppppppppppppppp

Answers

Answer:

median : 73

mean : 71.5

mode : 68 and 85 (?)

range: 35

Step-by-step explanation:

50, 50, 68, 68, 68, 78, 78, 85, 85, 85

median:  order numbers least to greatest. add the two middle numbers, 68 and 78. divide by 2. 68 + 78 = 142 ,, 142 ÷ 2 = 73

mean: add all the numbers, then divide by the amount of numbers. 50 + 50 + 68 + 68 + 68 + 78 + 78 + 85 + 85 + 85 = 715. 715 ÷ 10 = 71.5

mode: the number that occurs the most,,theres two whoops 68 and 85

range: subtract the smallest number from the largest. 85 - 50 = 35

when a curve and a line meet at a point, are their gradient equal?​

Answers

Check the picture below.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

gradient

• constant of proportionality

however, is the same cat wearing different costumes.

well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.

What is the equivalent ratio for 5:6

Answers

Answer:

30:36

10 : 12

15 : 18

20 : 24

25 : 30

There are sooo many more but here are a few!

Hope this helped.

What is the GCF of -16y4+12y^2-4y?

Answers

Answer:

4y

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Hope this helps!!! Brainliest is appreciated.

Answer:

In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a,

Step-by-step explanation:

Other Questions
What evolutionary events might have led to the presence of two genomic clones in pigs, and the discrepancies in their length compared to the cDNA probe? How is this representative of a general type of occurrence in molecular genetic evolution? What is the answer for number 10? please explain step by step In Of Mice and Men, what is most closely the meaning of the underlined phrase inthe passage below (paragraphs 9-10)?"O.K. Someday-we're gonna get the jack together and we're gonna have a littlehouse and a couple of acres an'a cow and some pigs and""An' live off the fatta the lan" Lennie shouted. "An' have rabbits. Go on, George! Tellabout what we're gonna have in the garden and about the rabbits in the cages andabout the rain in the winter and the stove, and how thick the cream is on the milklike you can hardly cut it. Tell about that, George."a) To live without having to workOb) To eat a lot of foodOc) To go on a dietd) To live for a long time U.S. residents accounted for over 75 percent of cruise ship passengers, and U.S. ports had 8 million passengers leaving on cruises in 2004. The growth in cruise travel was phenomenal after the terrorist attacks on September 11, 2001. According to a situational analysis, this event created an _____ for the industry. Part CIdioms with "tener" - to haveBased on the given sentences, create a logical response using one of the tener expressions that you learned in the Social Networking tutorial. Each sentence should include a subject, the correct form of the verb tener (to have), and an appropriate noun to describe the condition. Steve os three times as old as Thresa. in four years he will be twice as old as she will be. How old is each one? Use the distributive property to write the following expression in expanded form. 3(2x+11y) What helped bring about feelings of sectionalism in the United States A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit to the chain's new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results: X = $50.50 and S = 20.Construct a 95% confidence interval for the mean amount its credit card customers spent on their first visit to the chain's new store in the mall assuming that the amount spent follows a normal distribution. 20 POINTS!!!!!!!!An electromagnet is a temporary magnet made by coiling wire around an iron core which becomes a magnet when an electric current flows through the wire.How could the strength of an electromagnet be increased?A) Use fewer coils of wire around the nail.B) Use more coils of wire around the nail.C) Use a battery with less voltage.D) Use a smaller nail. The ____ is a place where music is performed. Avenue Acoustics Venue The two-way table shows data for a florists inventory by flower and color. A 5-column table has 3 rows. The first column has entries roses, tulips, total. The second column is labeled red with entries 25, 11, 36. The third column is labeled Pink with entries 8, 14, 22. The fourth column is labeled white with entries 16, 12, 28. The fourth column is labeled total with entries 49, 37, 86. What is the probability that the florist randomly selects a tulip for a bouquet? P(tulip) = StartFraction 11 Over 37 EndFraction P(tulip) = StartFraction 37 Over 86 EndFraction P(tulip) = StartFraction 37 Over 49 EndFraction P(tulip) = StartFraction 49 Over 86 EndFraction Hamid has selected one middle manager from each department that will be affected by the updated system and one lower-level manager from each department, along with a few senior staff as well as the project sponsor for a JAD session. He is trying to_____________. a farmers land is separated into sections of size 2 1/7 acres. Suppose there are 2 2/3 such sections. how many acres of land does the farmer own You and an operational meteorologist who studies temperature, air pressure, wind, and humidity--applying and summarizing yourfindings and statistical data to forecast weather. Which summary is supported by the graphicThe relationship between temperature and pressure is one of lowerpressure to lower temperatureThe relationship between temperature and pressure is one of highertemperature to lower pressureThe longer the study continues into the month, the higher the pressuremeasures overall in inches.The relationship between temperature and pressure is one ofpressure to higher temperature. The coordinates of triangle BCD are B(8.2), C(11, 13) and D(2,6). Which equality proves that triangle BCD is isosceles? (d =V(x2-x} + ()2 + y)2)BC = CDBC = BDCD = BDDB = CB When was the Great Depression help me fast For what number A does the equation 3Ax - 24 = 5x - 9 + x$ have no solutions for x?HELLLLPPPP which two beverages have a sum of 5/8 of the students votes favorite beverages iced tea 3/8 fruit juice 2/8 water 1/8 soda 2/8 _fraction of student votes Viruses can be transmitted in a variety of ways. The virus that causes SARS(severe acute respiratory syndrome) can be transmitted when an infected personcoughs or sneezes. This virus is transmitted in a manner most similar to thetransmission ofA SmallpoxB AidsC InfluenzaD West Nile