Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).
Answer the following to determine if the parallelogram is a rectangle, rhombus, square, or none of these.
(a) Find the slope of WZ and the slope of a side adjacent to WZ.
(b) Find the length of WZ and the length of a side adjacent to WZ. (Give exact answers, not decimal approximations.)
(c)What can we conclude about parallelogram WXYZ? Check all that apply.
-WXYZ is a rectangle
-WXYZ is a rhombus
-WXYZ is a square
-WXYZ is none of these.

Answers

Answer 1

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: D. WXYZ is none of these.

Slope of a Segment

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find WZ and WX:

[tex]WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }[/tex]

[tex]WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }[/tex]

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: D. WXYZ is none of these.

Learn more about slopes on:

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Related Questions

What is the value of b in the equation (y)*
1
(*)" - ?
у24
-20
О 6
ООО
6
20
HELPPPPPP

Answers

Answer:

b = -6

Step-by-step explanation:

Apply the exponent rule that   [tex]\frac{1}{x^{n}} = x^{-n}[/tex]

In this case, [tex]\frac{1}{y^{24}} = y^{-24}[/tex]

Set that equal to [tex](y^{b})^{4}[/tex]:

[tex](y^{b})^{4} = y^{-24}[/tex]

Apply the exponent rule that [tex](x^{m})^{n} = x^{mn}[/tex] so now you get:

[tex]y^{4b} = y^{-24}[/tex]

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.

4b = -24

divide each side by 4 to get:

b = -6

Write a story problem to go with the multiplication problem 4 x2/3 . Then, solve the problem.

Answers

Story:

There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?

Solution of story:

We know that:

Tank = 4 liters2/3 x 4 = Water filled in tank

Multiply both the terms to get the answer.

Solution:

2/3 x 4 liters=> 8/3 liters = 2 2/3 liters

Hence, 2 2/3 liters has been filled with water.

Hoped this helped.

54 is 150 of what number ?

Answers

Answer:

x=36

Step-by-step explanation:

If you are using a calculator, simply enter 54×100÷150, which will give you the answer.

If u mean 150% then:
150/100.X=54
X=54.100/150
X=36
54 is 150% of 36.

Joseph has a new job where he will make $1000 each week. When he gets his first paycheck, however, he only receives $875. Which tax has Joseph MOST likely paid?

inheritance

real estate property

income

Answers

Answer:

correct answer is c. (income)

Step-by-step explanation:

Answer:

income !!!!!!

Step-by-step explanation:

a packing company is doing and inventory of boxes.​

Answers

Answer:

ypu are going to have to give us a problem to solve or a question.

Step-by-step explanation:

this is a statement

What is the equation of the line below?

Answers

Answer:

y = 3x-3

Step-by-step explanation:

i found the slope by comparing the points (1,0) and (0,-3)

the difference of the y-values over the difference of the x-values equals 3

[tex]\frac{(-3-0)}{(0-1)}[/tex] equals -3/-1 or 3

the y-intercept, as seen in graph, is -3

therefore, y = 3x-3

A prism with a base that is a regular hexagon
shown. How would you find the surface area of the hexagonal prism if the
area of the base of the prism is x square centimeters?

Answers

Answer:

Look at explanation

Step-by-step explanation:

The surface area (x^2) that you will be provided as the base is made from the formula (3\sqrt(3)/2)s^2. s is the length of one side of the hexagon. In order to get surface area, you will also be provided the height of the prism. From there, set x^2=(3\sqrt(3)/2)s^2 and solve for s. Then multiply s * the height of the prism *8. Then, add 2x^2 to that value for total surface area/

Select the correct answer.
Which statement best defines the term principal
А.
It is an arrangement in which you buy now and pay later.
B.
It is the annual rate of interest a bank charges for a loan.
С.
It is the original amount of money the bank loans the borrower.
Reset
Next

Answers

Answer: c

Step-by-step explanation:

Answer:

С.

It is the original amount of money the bank loans the borrower.

Step-by-step explanation:

Find the volume of this shape

Answers

Answer:

36 I think

Step-by-step explanation:

length x width x height

HURRY PLEASE. I NEED THE ANSWER BY TOMORROW AND I WILL LITERALLY DIE WITHOUT THE ANSWER PLEASE I NEED IT HURRY. WILL GIVE BRAINLYIST TO THE FIRST RIGHT ANSWER.

Answers

Answer:

LK WA LA K

Step-by-step explanation:

A single lap should be completed each time you hear this sound. [ding] Remember to run in a straight line, and run as long as possible

Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. What are all the possible numbers can this rabbit be now?

Answers

Answer:

3,5,7,9,11,13,15,17

Step-by-step explanation:

If rabbit starts at 0 the following are the possibilities

-4-2-1=-7

-4-2+1=-5

-4+2-1=-3

-4+2+1=-1

4-2-1=1

4-2+1=3

4+2-1=5

4+2+1=7

If the rabbit starts at 10 then

10-7=3

10-5=5

10-3=7

10-1=9

10+1=11

10+3=13

10+5=15

10+7=17


please help me with this question i would really appreciate it!!!

Answers

answer:
a. 15

step-by-step explanation:
25 is greater than 9 so you use the first equation
the square root of 25 is 5
5 times by 3 is 15

Answer:

A. 15

Step-by-step explanation:

We use 3√x because 25 >9

3√25 = 15 ( substituting 25 for x)

so the answer becomes 15.

A girl makes $18 per hour as a math tutor. Her paycheck is calculated by multiplying $18 times the number of hours she worked.how many hours will she have to work to earn more than $360

Answers

She would work 20 hours, divide 360 by 18. Should look like this 360/18=20 hours.

jada and christian are saving money. Jada starts with $400 in her savings account and adds $15 per week. Christian starts with $250 in his savings account and adds $25 per week. who will have more money in the account after 13 weeks

Answers

The person that would have more money in their account is Jada.

What is the total money that Jada will have in her account in 13 weeks?

Total amount = starting balance + (number of weeks x amount saved per week)

$400 + ($15 x 13)

$400 + 195

= $595

What is the total money that Christian will have in her account in 13 weeks?

Total amount = starting balance + (number of weeks x amount saved per week)

$250 + ($25 x 13)

$250 + 325

= $575

To learn more about addition, please check: https://brainly.com/question/19628082

can someone pls help me on my question

Answers

Answer:

14 million dollars

Step-by-step explanation:

We notice that there's a pattern on the graph. The company has a loss of 2 million then it gains 4 million and so on. Given this rule, we notice that in 2007 that the company gained 4 million that time and was at 16 million. So, in 2008, the company should lose 2 million, thus giving a total of 14 million dollars.

Please help asap. Really would appreciate it

Answers

Step-by-step explanation:

We got

[tex] \frac{f(x + h) - f(x)}{h} [/tex]

The function here is

9x^2 so we got now

[tex] \frac{9(x + h) {}^{2} - 9 {x}^{2} }{h} [/tex]

[tex] \frac{9( {x}^{2} + 2hx + {h}^{2} - 9 {x}^{2} }{h} [/tex]

[tex] \frac{9 {x}^{2} + 18hx + 9 {h}^{2} - 9 {x}^{2} }{h} [/tex]

Cancel out terms.

[tex] \frac{18hx + 9h {}^{2} }{h} [/tex]

If we direct subsitue we get

[tex] \frac{0}{0} [/tex]

which is intermidate form in calculus so now, let try to find another way to evaluate this, we can factor out 9h

[tex] \frac{9h(2x + h}{h} [/tex]

Cancel out h

[tex]9(2x + h)[/tex]

Subsitue 0 for h.

[tex]9(2x + 0)[/tex]

[tex]9(2x)[/tex]

[tex]18x[/tex]

The answer here is 18x.

Congrats. We just found the derivative of a function.

Which is the best first step when solving the following system of equations? 5 c + 4 d = 10. 3 c + 2 d = 16. Multiply the first equation by Negative 2. Solve for d in the second equation. Solve for c in the first equation. Multiply the second equation by Negative 2.

Answers

Answer:

5c+4d=10

3c+2d=16

8c+6c=26

On an overnight field trip the ratio of adults to students was 3 to 7. There were a total of 91 students who went on the trip.

Answers

Answer:

39 adults

130 people total

Step-by-step explanation:

Adult:Students is 3:7

91/7=13

3(13)=39

There are 39 adults and 39+91=130 people total

Elise and her younger brother, Reid, take turns loading the dishwasher after dinner. Because she is older, Elise loads the dishwasher 4 times for every 3 times Reid loads it. If Elise and Reid have loaded the dishwasher 84 times in all this year, how many times has Elise loaded the dishwasher?

Answers

Answer:

48

Step-by-step explanation:

so  for every 3 Reid washes there are 4 Elsie washes

the ratio of washing is 3:4

lets add 3 and 4 up

3 + 4 = 7

now lets divide the total number of washes by the added ratio

84/ 7

=12

now we know that 1 part is 12

to find Elsie's part we need to x 12 by how many parts she has got

she washed 4 times

4 x 12

=48

PLEASE HELP ASAP. WILL GIVE BRAINLIEST+30 POINTS!!!

Max makes and sells custom postcards. A graph of the line that represents Max's profit in dollars for the number of postcards sold passes through
(4,2) and (10,20).
What is Max's profit prior to selling any postcards? Enter the answer in the box.

Answers

Answer:

-10

Step-by-step explanation:

Let x = number of postcards sold (as this is the independent variable)

Let y = profit (as this is the dependent variable)

We need to find the equation of the straight line that passes through the two points.

Find the gradient using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex]  and [tex](x_2, y_2)[/tex] are the two points

Let [tex](x_1, y_1)[/tex] = (4, 2)  and [tex](x_2, y_2)[/tex]  = (10, 20)

Therefore, [tex]m=\frac{20-2}{10-4}=\frac{18}{6} =3[/tex]

Now use the equation of line formula:  [tex]y-y_1=m(x-x_1)[/tex]

y - 2 = 3(x - 4)

y - 2 = 3x - 12

     y = 3x - 10

If Max doesn't sell any postcards, then x = 0.

Substituting x = 0 into the equation of the line:  y = (3 x 0) - 10 = -10

Therefore, Max's profit prior to selling any postcards is -10 (so he is at a net loss of 10 before selling any postcards).

find the distant between-7 -3 3/2

Answers

Answer:

-7-3 3/2

Step-by-step explanation:

i think alakewm atsra kene

Which expression is equivalent to y • 48?

A (y•40) + 8

B (y•4) • 8

C (y•40) + (y•8)

D (y•4) + 8

Answers

I think its c im not sure tho

Answer:

c

Step-by-step explanation:

a: 40y+8

b: 32y

c: 48y

d: 4y+8

I need help solving using the pythagorean theorem.​

Answers

Answer:

[tex]\sqrt{11}[/tex]

Step-by-step explanation:

well first you have to plug in a and c in the Pythagorean theorem.

[tex]a^2+b^2=c^2\\(2\sqrt{2})^2+b^2 =(\sqrt{15})^2[/tex]

then squaring the square roots cancels them out sooo it becomes

[tex]4 +b^2=15[/tex]

and then isolate b

[tex]b^2 = -4 +15\\\\\\b=\sqrt{-4+15} \\b=\sqrt{11}[/tex]

and there you have it. b is [tex]\sqrt{11}[/tex]

Select the ordered pairs that are located 8 units away from the point (2.1).

Plssss help

Answers

The ordered pairs that are located 8 units away from the point (2, 1) are; (-6,1), (10,1), (2,-7) and (2,9)

Ordered pairs and Distance.

The ordered pairs which can be 8 units away from the point, (2, 1) are pairs in which case, either x or y coordinates or both are 8 units from the given pair of coordinates (2,1).

Hence, the following pair of coordinates have x or y coordinates which are 8 units away from the x or y coordinates of the given pair of coordinates.

(-6,1)(10,1)(2,-7)(2,9)

Read more on coordinates;

https://brainly.com/question/3447129

b) Then solve for x given that the area of the shaded region is 48 square units. Show all your work

Answers

Answer:

10

Step-by-step explanation:

Here it's given that the area of the shaded region is 48 u² and we need to find out the value of x .

The given figure is made up of two rectangles where the smaller one is inscribed into the bigger one .

The area of shaded region will be equal to the difference of the areas of the two rectangles , that is equal to 48 u² .The area of rectangle is length × breadth .The dimensions of bigger rectangle is (x+3)(x-4) and that of smaller one is 3 × x .

So that ,

[tex]\longrightarrow[/tex] ar(bigger) - ar(smaller) = 48

[tex]\longrightarrow[/tex] [ (x+3) (x-4)] - 3(x) = 48

[tex]\longrightarrow[/tex] [ x² - 4x +3x -12 - 3x ] = 48

[tex]\longrightarrow[/tex] x² -4x -12 -48 = 0

[tex]\longrightarrow[/tex] x² - 4x - 60 = 0

[tex]\longrightarrow[/tex] x² - 10x + 4x - 60 = 0

[tex]\longrightarrow[/tex] x( x -10) +4(x -10) = 0

[tex]\longrightarrow[/tex] (x +4)(x-10) = 0

[tex]\longrightarrow[/tex] x = -4,10

Since sides can't be negative ,

[tex]\longrightarrow[/tex] x = 10

Hence the required answer is 10.

2(p + 3)=

Help please!!!!

And give explanation to help me find out how to do

Thanks s/u

Answers

Answer :

P^2 + 3^2 MIGHT be the answer because…

Step-by-step explanation:

when simplifying and expression like that you have to do something called “wording it out”so in this case you can tell that you are going to have to times 2 by whatever p+3 equals. So we add 2 to both the numbers as a exponets since it(2) is being going to be used to multiply, multiple numbers.
Hope this helps you!
Good Luck I Believe in you! <3

Xx

Put these groups of numbers starting with the smallest 1.506, 1.06, 1.501, 1.605​

Answers

1.06
1.501
1.506
1.605


Hope this helps

Evaluate the following expression.
7x[(20-2) +9+4]

Answers

=7(18x9+4)
=7(162+4)
=7x166
=1162
answer=1162

At your school, 300 of the 600 students are boys. What
percent of the students at your school are boys?
Enter the answer

Answers

Answer:

300/600times100

1/2times100

50%

The question is below in picture

Answers

1. For the green graph it’s at (4, -10) and it’s shaded below the line- y ≤ 2/5x + 4
2. For the purple graph it’s at (-5, 8) and it’s shade below the line- y
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