Try it
y
5
U12.4)
4.
3. Show that the included angles, ZJ and V. are
congruent right angles.
y2-yi
Slope =
*2-X1
The slope of WU is
The slope of VU is
Therefore, U is
3
K(-6,2)
2
V
(52)
H(-3,0)
1W (0, 1)
15 -4 -2 -1 1 2.
3
4 5
-21
J (-5, -3)

Try Ity5U12.4)4.3. Show That The Included Angles, ZJ And V. Arecongruent Right Angles.y2-yiSlope =*2-X1The

Answers

Answer 1

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

slope of WU = (4 - 1)/(2 - 0) = 3/2

slope of VU = (2 - 4)/(5 - 2) = -2/3

product of the slopes: 3/2 * (-2/3) = -1

The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, <U is a right angle.

Answer 2

The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope of WU = (4 - 1)/(2 - 0) = 3/2

The slope of VU = (2 - 4)/(5 - 2) = -2/3

The product of the slopes: 3/2 * (-2/3) = -1

Thus, The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, angle U is a right angle.

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Related Questions

An insurance company is considering implementing a plan based on mileage. The current plan, Plan A, charges a flat rate of $235.90 per month. Plan B charges a flat rate of $160.30 per month plus an additional $0.07 per mile driven the previous month. Using the inequality below, find the number of miles, x, where the cost of Plan B is less than the cost of Plan A. $160.30 + $0.07x < $235.90 A. x < 529 B. x < 5,660 C. x < 1,080 D. x < 2,160

Answers

Answer:

plan A

Step-by-step explanation:

What is the arithmetic mean of the following numbers? 6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10

Answers

Answer:

5.4

Step-by-step explanation

First find the mean of the numbers which you do by adding the numbers all together and then you will get 49.Then you have to divide 49 by the amount of numbers there are so there are 9 numbers so you do 49 ÷ 9 and you will get 5.4.Answer = 5.4

The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

What is arithmetic mean?

The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

According to the given question we have

A data set  6, 4, 1, 9, 3, 8, 3, 5, 10

The total numbers in the given data set is 9

Therefore, the arithmetic mean of the given data set is given by

Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]

Arithmetic mean = [tex]\frac{49}{9}[/tex]

Arithmetic mean = 5.4

Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

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Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

Answers

Answer:

Options?

Step-by-step explanation:

Answer:

3.7 meters

Step-by-step explanation:

Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)

Answers

point a is the maximum

Answer:

point a is the maximum

Step-by-step explanation:I took the test

according to a recent study the probability that a randomly selected individual wears glasses is 0.23. suppose you ask a random sample of 18 individuals if they wear glasses and count the total. how many individuals out of 18 would you expect to wear glasses, on average?

Answers

Answer:

4

Step-by-step explanation: 18x.23 = 4.14

Answer:

4

Step-by-step explanation:

Estimate the solution to the system of equations.

Answers

Answer:

Find it in the explanation

Step-by-step explanation:

Equate the two solutions.

2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.

Now we get

4x+6y=12 and

-4x+3y=12

Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.

Adding these two equations together, I get:

9y=24

y=24/9

in fraction form y= 2 and 2 thirds.

Plug that in any of the equations and solve for the value of x, which will be -1

Therefore, the coordinates are (-1, 2 and 2/3)

Answer:

The answer is x= -1/2 and y= 7/3 or 2whole 1/3.

hope it helps..

a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.



Please help due today

Answers

Answer:

X=149-57+23

Step-by-step explanation:

X=149-57+23

Answer:

distance = 149 -57 +23

(-) is backward

(+) is forward

Select the correct answer from the drop-down menu. Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, each student can prepare parallelogram(s).

Answers

Answer:

50

Step-by-step explanation:

this is confusing and I'm a straight A student in highschool.I'm a junior to be exact

Answer:

the correct answer is that the students infinitely many parallelograms

Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always

Answers

Answer:

I believe it is never

Step-by-step explanation:

Sorry if I'm wrong ...

Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.

You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______

Answers

Answer:

there are 25 nickels and 30 dimes

Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please

Answers

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

Write the other side of this equation so it's true for no values of x;

1/2(6x-10)-x =

Answers

Answer:

1/2(6x-10)-x = 2x +3

Step-by-step explanation:

1/2(6x-10)-x =

Distribute

3x -5 -x

2x -5

We need to other side to be of the form 2x - constant where the constant is not equal to 5

2x-5 = 2x+3

Subtract 2x from each side

-5 =3

This is not  true so there is no solution

There cant be a solution to find x.

Which equation could generate the curve in the graph below?

Answers

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

[tex]y = 3 {x}^{2} - 2x + 1[/tex]

[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]

[tex]D = - 8[/tex]

[tex]D < 0[/tex]

Option 2,

[tex]y = 3 {x}^{2} - 6x + 3[/tex]

[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]

[tex]D = 0[/tex]

Option 3,

[tex]y = 3 {x}^{2} - 7x + 1[/tex]

[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]

[tex]D = 37[/tex]

[tex]D > 0[/tex]

Option 4,

[tex]y = 3 {x}^{2} - 4x - 2[/tex]

[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]

[tex]D = 40[/tex]

[tex]D > 0[/tex]

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).

Option 1,

y =3x² - 2x +1

D = b² - 4ac

D = ( -2 )² - ( 4 x 3 x 1 )

D = 4 - 12

D = -6

D < 0

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Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.

Answers

Answer:

If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

Step-by-step explanation:

I honestly don't know the answer and that the person above me makes no sense.

he said "If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

WHAT IS THE ANSWER TO THE DOCTOR PART???

ten times a number increased by eighty four equals 194. what is the number

Answers

Answer: x = 11

Step-by-step explanation:

10x+84=194

10x = "10 times a number"

+84 = "increased by eighty four"

=194 = "equals 194"

10x+84=194

Subtract 84

10x = 110

Divide by 10

x = 11

Hope it helps <3

Answer:

The number is 11

Step-by-step explanation:

Represent the number by n.

Then:  10n + 84 = 194.

Subtracting 84 from both sides, we get:  10n = 110, and so:

n = 110/10 = 11

No explanation needed answer fast TY

Answers

Answer:

50.24

Step-by-step explanation:

The first step is to find the area of it if it was a whole circle

you get this by squaring the radius

8*8 or 8^2= 64

then, you have to multiply it by 3.14 which gives you

200.96.

Then divide it by 4 to get a quarter of the circle to get the final answer

50.24

Hope this helps, if it does, please give me brainliest, it will help a lot :)

Have a good day

which expression below would not be equivalent to 12n+ 6










1) 3(4n+2)
2) 2(6n+3)
3) 6(2n+1
4)12 (n +4)

Answers

Answer:

4)12(n+4)

    =12n+48

Step-by-step explanation:

Answer:

4) 12(n + 4) = 12n + 48

Step-by-step explanation:

The desk is 1/2 as wide as it is long. If the desk is D meters long, how wide is the desk?

Answers

Answer:

1/2D meters

Step-by-step explanation:

I hope this helps

Answer:

  (1/2)D

Step-by-step explanation:

The width is half the length, so is ...

  (1/2)D   or   D/2 . . . meters wide


[tex]if \sqrt{p ^{2} } +1= \frac{5}{4} .Find the postive value of p[/tex]

Answers

Answer:

Positive value of p = 1/2

Step-by-step explanation:

Given:

[tex]\sqrt{p^2}+1=\frac{5}{4}[/tex]

Find:

Positive value of p

Computation:

[tex]\sqrt{p^2}+1=\frac{5}{4}\\\\\sqrt{p^2}=\frac{5}{4}-1\\\\\sqrt{p^2}=\frac{5-4}{4}\\\\\sqrt{p^2}=\frac{1}{4}\\\\p = \frac{1}{2}[/tex]

Positive value of p = 1/2

- (1 /-11 )( 77+1100)

Answers

-(1/-11)(77+1100)=107

Answer:

107

Step-by-step explanation:

-(1/-11)(77+1100)

1/11(1177)

=107

Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction

Answers

Answer:

[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]

Step-by-step explanation:

The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.

Answer:

A

Step-by-step explanation:

What is the remainder in the synthetic division problem below?

O A. 5
O B. 9
O O. 3
O D. 7​

Answers

Answer:

The answer is option D.

I hope it's what you require.

Answer:

D) 7

Step-by-step explanation:

1  /   4      6        -3

               4        10      

       4      10       7

   

Step 1: Carry down the first number 4 as it is

Step 2:  Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10

Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7

And now 7 is the remainder

What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3

Answers

No it’s D because it is rise over run and you rise 3 and run 1. 3/1 is simplified to 3.

In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.

Answers

Answer:

30°

Step-by-step explanation:

Hey, srry for the inaccurate sketch

I hope you will understand the way I solved it

If not, don't hesitate to ask questions ;)

Find the output. y. when the input. . is -5.

Answers

Answer:

The answer is 7.

Step-by-step explanation:

You would find -5 on the graph and go up until you see the line, and where it ends, is your answer or output. 7.

Answer:

(-5, 7)

Step-by-step explanation:

Draw a vertical line through x = -5 and determine the point at which this line intersects the graph.  You'll find that that point is (-5, 7).

Triangle DEF will be rotated 180° clockwise. Where will D’ be located?

a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)

Answers

Answer:

a. (4, -7)

Step-by-step explanation:

Point D is at (-4,7).

Rule for a 180° rotation clockwise around the origin:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to point D:

[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]

Option A should be the correct answer.

Brainilest Appreciated.

Answer:

a. (4, -7)

Step-by-step explanation:

What is the value of log,(5)1252
3
5
15
25

Answers

15 cause u will multiple then divide from each to get a good answer
The answer is 15 first you multiply Daniel divided. <3

A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is
$
.

Answers

Answer:

c

Step-by-step explanation:

Answer:

$62

Step-by-step explanation:

In the circle below, O is the center, MP is a diameter, and m angle POL = 85º. Find the measure of LNP.

Answers

Answer:170

Step-by-step explanation:

The measure of angle LNP is 275 degrees.

What is the inscribed angle theorem?

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.

In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.

The measure of angle  LNP is determined in the following steps given below.

[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]

Hence, the measure of angle LNP is 275 degrees.

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WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.

Answers

Answer:

Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.

Step-by-step explanation:

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Giraffes are tall, interesting animals.Flamingos are pink birds that eat with their heads upside down.Although insects are thought of as pests, they perform several vital functions in our ecosystems.The peregrine falcon of North America is the fastest known bird, with diving speeds of over 250 mph. In the search to determine if car 1 is slower to accelerate than car 2, the mean time it takes to accelerate to 30 miles per hour is recorded (Note: a car is slower to accelerate if it takes more time to accelerate). Twenty trials of the acceleration time for each car are recorded, and both populations have normal distributions with known standard deviations. What are the hypotheses used in this test Unscramble the words and phrases to write a sentence. 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Which of the processes listed likely contributed to the patterns of animal diversity we see Clarice, a young woman with a mental disability, brought a malpractice suit against a doctor at the Medical Center. As a result, the Medical Center refused to treat her on a nonemergency basis. Clarice then went to another local clinic, which was later acquired by the Medical Center. Because the new clinic also refused to treat her, Clarice had to seek medical treatment in another town 40 miles away. Has the Medical Center violated the antitrust laws? Was it ethical to deny treatment to a patient? 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