Parallelogram PQRS has diagonals that are perpendicular. Based on that, which statement is most correct?

A- Parallelogram PQRS is also a rectangle

B- Parallelogram PQRS is also a rhombus.

C- Parallelogram PQRS is neither a rectangle nor a rhombus.

D- Parallelogram PQRS is both a rectangle and a rhombus, so it is a square.

Answers

Answer 1

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true

Answer 2

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Hope this helps


Related Questions

resuelve la inecuación

(3x<15)

Answers

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

Hurry please and show your work! Thanks! Useless answers will be reported!
Veterinary doctors marked 30 deer and released them. Later on, they counted 150 deer,
12 of which had marks. To the nearest whole number, what is the best estimate for the
deer population?

Answers

Answer:

375

Step-by-step explanation:

12/150 is 0.08, which is 8%

this mean 8 perfect of the population were marked

8 percent is 30 deers

30/0.08=375

find the missing length!!!!!

Answers

Answer:

2x^2+4x

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

9x^2+2x

2x^2+4x

(if you would like an explanation let me know :D)

Victor sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the
day, Victor had sold $95.25 worth of cookies and cupcakes. If he sold 68 cupcakes and cookies combined, how many
cupcakes were sold and how many cookies were sold?

Answers

answer:number of cupcakes sold is 13  Number of cookies sold is 27  

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold.  Let y represent the number of cookies that Jane sold.  Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day,  This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.

Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as

x + y = 68

x = 68 - y

Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,

2.25x + 0.50y = 95.25

2.25(68 - y) + 0.5y = 95.25

153 - 2.25y + 0.5y = 95.25

-2.25y + 0.5y = 95.25 - 153

1.75y = 57.75

y = 33

Now, substitute the value of x in the first equation.

x + y = 68

x + 33 = 68

x = 35

Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

The parabola is swached vertically by a factor of 5.

Answers

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

how to solve 9x-5-(-6x) ​

Answers

Answer: 3x-5

Step-by-step explanation:

9x-5(-6x)

9x-5-6x

3x-5

Answer:

15x - 5

Step-by-step explanation:

We have the equation 9x - 5 - (-6x) and are asked to solve it.

We cannot combine 9x and 5 because they have a variable difference, with 9 having x as its variable and 5 having no variable. What we can do is distribute the minus sign to the right of 5 to (-6x), lets do as said :

9x - 5 - (-6x)

Two negatives make a positive, therefore :

9x - 5 + 6x

Since 9x and 6x have the same variable ending, we can combine them, do as followed :

9x - 5 + 6x

9x + 6x

15x - 5

please help convert the improper fractions to mixed numbers ​

Answers

Answer:

1. 1 1/4

2. 2 1/2

3. 2 2/5

4. 1 1/5

5. 4 1/3

Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?

Answers

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

Please help me with this homework

Answers

Answer:

502.65 cubic feet

Step-by-step explanation:

volume of cylinder = πr²j

=π(4)²(10)

=502.65

Determine the period of the following graph.

Answers

Answer:

Step-by-step explanation:

period = 3π

Write the log equation as an exponential equation. You do not need to solve for x.
log(x+2) (4x) = 3x + 2

Please answer ASAP

Answers

Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

i think but i dont know if this is an exponential equation

2/3 - 3/2y + 1/3y + 4 = 0​

Answers

Answer:

y = 4

Step-by-step explanation:

(2/3 + 4) + (-3/2y + 1/3y) = 0

(-3/2y + 1/3y) = -4 2/3

-9/6y + 2/6y = -14/3

-7/6y = -14/3

cross-multiply:

-21y = -84

y = 4

Answer:

y = 4

Step-by-step explanation:

Please use parentheses for clarity, remembering what big differences they make in expression values.

I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0​" actually means

2/3 - (3/2)y + (1/3)y + 4 = 0​

The LCD here is 6, which is the product of the denominators 2 and 3.

Then your "2/3 - 3/2y + 1/3y + 4 = 0​" becomes:

                     4  - 9y    + 2y + 24 = 0, which simplifies to:

                     28 - 7y = 0.  Solving this, we get y = 4


PLSZSZ HELPPPP

The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?

Answers

Answer: -16

Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:

-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.

hey can someone help me with this immediately! i’ll be giving out brainiest if u don’t leave a link and don’t guess!

Answers

Answer:

101

Step-by-step explanation:

((3x(4+6))-9)=21

(4x(21-1))=80

80+21=101

:D



Leo is constructing a tangent line from point Q to circle P. What is his next step?



Mark the point of intersection S of the segment created from the arcs and circle R, and construct line RS.

Mark the point of intersection S of circles R and P, and construct line QS.

Construct arcs from point Q that are greater than half the length of segment PQ.

Construct a circle from point P that has a radius of P and the intersection of circles P and R.

Answers

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.

What is the change factor for this function?

Answers

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo​

Answers

Answer:

El orden es;

1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado

Step-by-step explanation:

Los términos dados son;

Cuadrilátero; Una forma con cuatro lados

Rombo; Un cuadrilátero con cuatro lados iguales

Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos

Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos

Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos

Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término

Por lo tanto, tenemos,

La primera forma es el cuadrilátero,

El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)

El ángulo del rombo se ajusta para dar un paralelogramo

El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo

El rectángulo se ajusta para dar un cuadrado con todos los lados iguales

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