Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) is a rhombus

Answers

Answer 1

Answer:

The quadrilateral is a rhombus

Step-by-step explanation:

Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus

A rhombus is a quadrilateral with all its sides equal to each other.

We prove this using the formula

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1, y1) and (x2, y2)

For sides PL

P(-2, 3) L( 2, 6)

√(2 - (-2))² + (6 - 3)²

= √4² + 3²

= √16 + 9

= √25

= 5 units

For sides LU

L( 2, 6) U (7,6)

√(7 - 2)² + (6 - 6)²

= √5²

= √25

= 5 units

For side US

L( 2, 6) U (7,6)

= √(7 - 2)² + (6 - 6)²

= √5² + 0²

= √25

= 5 units

P(-2, 3), S(3, 3)

= √(3 - (-2))² + (3 - 3)²

= √5² + 0²

= √25

= 5 units

From the above calculation,

PL = LU = US = PS = 5 units

Hence, the above quadrilateral is a rhombus


Related Questions

What is the POINT in this equation y+5= 9/4 (x+25) *

Answers

Answer:

The vertex (your "point") is (-25, -5).

Step-by-step explanation:

Compare the given equation to

y - k = m(x - h).  We see that the slope, m, is 9/4; the x-coordinate of the vertex is h = -25, and the y-coordinate of the vertex is k = -5.

The vertex (your "point") is (-25, -5).

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answers

Answer:

Step-by-step explanation:

mean: equal for both data sets

median: Greater for data set A

Range: Greater for data set B

graph the set of points which model is most appropriate for the set (-6,4)(-4,0)(-3,-2)(-1,-7)

Answers

Answer:

It is the first one.

Step-by-step explanation:

A cone with diameter 18 millimeters and height 11 millimeters.
Which statements about the cone are true? Check all that apply.
The radius is double the diameter.
The radius is 9 mm.
The base area is calculated using the radius.
The volume is one-third the volume of a cylinder with the same height and diameter.
The volume of the cone is 297 pi millimeters cubed.

Answers

Everything except for a

Answer:

b

c

d

e

Step-by-step explanation:

have a good day

help PLEASE!!!!!!!!!!!!

Answers

i think the last one

Please answer for 20 points

Answers

It’s definitely not B so don’t chose that one because it’s not right

If robert has 8 twenty five-cent , 3 ten-cent, and 4 one cent how much money does Robert has all together ?

Answers

Answer:

$2.34

Step-by-step explanation:

8 · 0.25 = $2

3 · 0.10 = $0.30

4 · 0.01 = $0.04

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

pretty sure its c now stop spamming this question

Step-by-step explanation:

Select the three ratios that describe the model.
CLEAR
CHECK
The ratio of apples to oranges is 4 to 3.
For every 3 apples, there are 4 oranges.
4 of the fruit are apples.
The ratio of oranges to apples is 3 to 4.

Answers

Answer:

the ratio of apples to oranges is 4 to 3

Easy please help asap!!

Answers

The ratio is 2:1 and the same for area

lines p and q line in the coordinate plane. An equation for line p is y=0.36x-600. The slope of line q is 0.2 less than the slope of line p. what is the slope of line q?

Answers

Answer:

y = -1/3x -3

Step-by-step explanation:

Lines

Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point-slope form.

y = 3x + 5 is q. It has a slope of 3. So, p will have a slope of -1/3.

y - y1 = m ( x - x1)

y - (-5) = -1/3 ( x - 6)

y + 5 = - 1/3x + 2

y = -1/3x - 3

The list shows the number of apps that 4 students each downloaded last year.(23, 34, 29, 42) What is the mean absolute deviation of the numbers in the list

Answers

Hello! Your answer would be 128. I got this by adding up all of those numbers and dividing by 4 since there are 4 numbers.

log (5) + log (x) - log (x-6) = 1
can someone tell me how to solve this rq

Answers

Answer:

Step-by-step explanation:

log(5) + log(X) = log(5x)

log( 5x) - log(x - 6) = log (5x/(x - 6))

antilog(log(5x/(x - 6)) = antilog(1)

5x / (x - 6) = 10                                        multiply both sides by x - 6

5x  = 10(x - 6)                                          remove the brackets

5x = 10x - 60                                          Subtract 10 x from both sides

5x - 10x = - 60

-5x = - 60                                               Divide by 5

x = 12

Find the area in square inches of the figure shown below. (No units)

Please help :(

Answers

The area is 25 square inches

0.0443 = 4.43 × 10

look i just wanna know the answer

Answers

.0443 is the answer.

Answer:

4.43 * 10 ^-2

Step-by-step explanation:

.0443

Move the decimal 2 places to the right

4.43 * 10 ^b

The b is 2 since we moved it 2 places, to the right means we make it negative

4.43 * 10 ^-2

A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to two decimal places. a. 28.73% b. 39.68% c. 40.32% d. 45.97%

Answers

Answer:

c. 40.32%

Step-by-step explanation:

8.77-6.25 = 2.52

2.52/6.25 x 100 = 40.32%

Hope this helps!

Answer:

c. 40.32%

Step-by-step explanation:

i will mark a thanks and give 10 points please answer

Answers

Answer:

D

Step-by-step explanation:

because it is not a linear equation

Find the indicated limit, if it exists. ​

Answers

Answer:

6

Step-by-step explanation:

As x approaches -10 from the left, f(x) approaches -4 + 10 = 6

As x approaches -10 from the right, f(x) approaches -10 + 16 = 6

f(-10) = 6

Putting that all together, we have a limit of 6

A box contains 4 pair of sunglasses. How many outcomes are in the sample space for pulling out a single pair, not returning it, then drawing out a second set of glasses.

a. 8
b. 12
c. 6
d. 9

Answers

Answer:

B.12

Step-by-step explanation:

For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.  

How many soultions does the equation 2(p+5) = 4 - 10p have? Explain how you found your answer.

Answers

Answer:

1, p = -0.5

Step-by-step explanation:

2(p+5) = 4 - 10p

2p+10 = 4 - 10p

2p + 10p = 4 - 10

12p = -6

p = -6/12

p = -0.5

2(-0.5+5) = 4 - 10(-0.5)

-1 + 10 = 4 + 5

9 = 9

melissa is involved is several activities. Each week she spends a total of 6 hours at her guitar lessons, 2.5 at her dance lessons, and 4 hours at soccer practice and soccer games. At this rate, how many total hours does melissa spend participating in these activities in a 5-week period

Answers

Answer: It is 62.5

Step-by-step explanation:

How are the functions of the brain and lungs different?

The brain helps break down the food into smaller pieces, while the lungs reduce the sugar level in the blood.
The brain processes information, while the lungs inflate and deflate to help us breathe.
The brain reduces the sugar level in the blood, while the lungs pass oxygen into the blood.
The brain works with the spinal cord to send and receive messages, while the lungs filter the blood.

Answers

The brain processes information, while the lungs inflate and deflate to help us breathe.

please help asap, i need this!!!!!​

Answers

Ch gc cdvnjhg if Gn havin ggcdhb gts Gn
The answer is A: 75°

75+75=150

360-150=210

210\2= 105

So the angles would be 105, 105, 75, 75


Write an equation for the following situation. Four times the number of coins in my pocket plus 5 more is 29.

Answers

Answer:

4x + 5 = 29

Step-by-step explanation:

x = # of coins in pocket, and you have 4 times that much. Add five to that, and you have a total of 29.

Answer:

4x+5=29

Step-by-step explanation:

let x=the # of coins in my pocket

4 times the number of coins in my pocket plus 5 more is 29 =

4x+5=29

Each salad contains red beans, Lima beans, and black eyed beans. Use the information below to determine how many of each of the three types of beans are needed

Answers

Answer:

A.) Black eyed beans = at least 3 ; Red beans = atleast 4 ; Lima beans = atleast 5

B.) Red and Lima beans = 5 each ; Black eyed beans = 8

C.) Lima beans = 4 ; Black eyed beans = 2 ; Red beans = 2

Step-by-step explanation:

Let :

Black eyed beans = x

Red beans = x + 1

Lima beans = x + 1 +1 = x + 2

Total beans is atleast 12

x + (x +1) + (x + 2) ≥ 12

x + x + 1 + x + 2 ≥ 12

3x + 3 ≥ 12

3x ≥ 9

x ≥ 3

Black eyed beans = at least 3

Red beans = atleast 4

Lima beans = atleast 5

B.)

Same number of Red and Lima beans

Black eyed beans is 3 more than red beans

Total beans = 18

Red and Lima = x + x

Black eyed beans = x + 3

x + x + x + 3 = 18

3x + 3 = 18

3x = 18 - 3

3x = 15

x = 5

Red and Lima beans = 5 each

Black eyed beans = 3 + 5 = 8

C.)

Total beans in salad = x

Number of red beans = 2

Lima beans = 2 * 2 = 4

Lima beans = 1/2 of x ; x/2

4 = x /2

8 = x = total beans in salad

Red + lima + black eyed = 8

2 + 4 + black-eyed = 8

Black eyed beans = 8 - 6 = 2

Lima beans = 4

Black eyed beans = 2

Red beans = 2


The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?

Answers

Answer:

-5FStep-by-step explanation:

10-5x3=-5 F

If tan e = 1.3, what is the value of cot (90° - 9)?
1.3
a.
C.
3
d.
b. -1.3
-3
Please select the best answer from the choices provided
Ο Α
ОВ
С
D

Answers

Answer:

A

Step-by-step explanation:

We are given that:

[tex]\tan(\theta)=1.3[/tex]

And we want to find:

[tex]\cot(90^\circ -\theta)[/tex]

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

[tex]\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)[/tex]

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.

Spends at most 30, buys boxes of crayons that cost 2 per box, also buys a poster for 5. Wants to know how many boxes of crayons she can spend.

Answers

Answer:

for 15 crayons box she can spend

Step-by-step explanation:

The computation of the number of crayons for which she can spend is shown below:

Given that

She can spend $30

And, the cost is 2 per box

So, for the number of crayons for which she can spend is

= $30 ÷ 2

= 15 crayons box

Hence, for 15 crayons box she can spend

The same would be relevant

Jamie bought medicine priced at $180 she had to pay 5% sales tax and an additional 1.5% for handling fee how much money did she spend

Answers

Answer:

$191.70

Step-by-step explanation:

total amount spent = cost of medicine + cost of tax + cost of shipping

cost of tax = 0.05 x $180 = $9

cost of shipping 0.015 x $180 = $2.70

total cost = $180 + $9 + 2.70 = $191.70

What is the volume of the prism? Pls I need this ASAP

Answers

Answer:

819 cubic centimeters.

Step-by-step explanation:

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