If the diagonals of a parallelogram are congruent then what would be the best and
most restrictive description of that quadrilateral?
a) Kite
b) Rectangle
c) Trapezoid
d) Rhombus

Answers

Answer 1
Answer: b) Rectangle.

=======================================================

Explanation:

If the diagonals were congruent, then you can use the SSS property to prove a pair of right triangles are congruent. This leads to showing that we have adjacent congruent corresponding angles. Let's call those angles x and y.

Since they are congruent, we know that y = x. Adjacent angles of any parallelogram add to 180, so x+y = 180

By substitution we can solve for x

x+y = 180

x+x = 180

2x = 180

x = 180/2

x = 90

So y = 90 as well.

This line of thinking is used to show that all four angles of this parallelogram are 90 degrees. A rectangle is any quadrilateral in which all four angles are 90 degrees, so that's why this parallelogram is a rectangle.


Related Questions

HELP ME OUT ASAP!!!!!

Answers

Answer:

13.5

Step-by-step explanation:

1350/100=13.5

Answer:

13.5 gallons

Step-by-step explanation:

you divide basically I don't know how to explain but that's the answer

ANSWER THIS AND YOU GET BRAINLIEST!

Which number is irrational?
7/6
√289
3.3333
√2

Answers

Answer:

The correct answer is the square root of 2.

Step-by-step explanation:

Irrational numbers can not be put into fractions, so it is not the first one. 3.3333 is also 3 1/3 and the square root of 289 is rational.

Goran took 2 3/4 hours to clean the bathroom. He took 1 2/5 hours to clean the kitchen. How much longer did it take Goran to clean the bathroom?

Answers

Answer: 1 7/20 or 1.35

9 - 3 divide 1/3 + 1 =

Answers

Answer:

8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

9 - 3 divide 1/3 + 1

-3 divide by 1/3

9 - 9 + 1

0 + 1

1

It is 1, because you should use the order of pemdas. PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction.

Give the place value of the digit 2 in 853,267,149.

Answers

Answer:

hondred thosend

Step-by-step explanation:

Answer:

The place value is the hundred thousands place.

Step-by-step explanation:

<3

Pls help with the question (also lmk how to award brainliest and I will)

Answers

Answer:

4. (-3,-4)

Explanation:

Both coordinates will be located in the third quadrant.

2x+ 1 = 19
This is supposed to be two step equations.

Answers

Answer:

x=0.1

Step-by-step explanation:

2x+1+=19

19-1=18

2x=18

2/18=0.1

x=0.1

Answer:

x= 9

Step-by-step explanation:

First I would subtract the 1 from 19 which leaves me with 18 then divide both sides by 2 so 2x/2 = 18/2 which gives me 9 now to check. 2 multiplied by 9 =18 plus 1 =1 9. and thats how I get the answ.r

1

2

cups of

3

Monica and Veronica are making strawberry pineapple smoothies. For every 1 cups of strawberries, they use

pineapple. Monica and Veronica have already put 1 cup of pineapple into the blender. The girls cannot agree how many

cups of strawberries to add to the blender to keep the same ratio, so they each did some work to determine the number

of cups of strawberries necessary for the smoothie.

(a)

Monica's Work:

3

13:

3- 3

a

ONU WOT

Veronica's Work

Answers

Answer:

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

Step-by-step explanation:

This question can be solved by using ratios

Strawberry       :      Pineapple

1     cup              :          2/3 cup

x cup                  ;            1 cup

Using the cross product rule

2/3 * x= 1*1

x= 1*1 ÷ 2/3

x= 1*3/2= 1 1/2= 1.5

For 2 cups of pineapple 3 cups of strawberries are used.

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

For 3 cups of pineapple 4.5 cups of strawberries are used.

Plsss help me I have a limited amount of time!!!
I will give brainliest!!!

Answers

Answer: (5x² +3) (5x² - 9)

Plz mark brainliest:)

Answer:

[tex](5x^2+3)(5x^2-9)[/tex]

Step-by-step explanation:

On weeks days, Aaron gets home from school at 4:30 p.M., and his bedtime is at 9:00 p.M. If he spends 90 minutes playing football, 35 minutes eating dinner, and 1 hour and 45 minutes doing homework, how much time after school will Aaron have left to play video games?

Answers

Answer:

40 minutes

Step-by-step explanation:

Time at which Aaron gets home from school = 4:30 PM

Bedtime for Aaron = 9:00 PM

Total available for Aaron = 9:00 - 4:30 = 4 hr 30 minutes

To convert minutes to hours, we need to divide by 60.

Time spent in playing football = 90 minutes = [tex]\frac{90}{60} = 1\ hr\ 30\ minutes[/tex]

Time spent eating dinner = 35 minutes

Time spent in doing homework = 1 hr 45 minutes

Total time spent = 1 hr 30 minutes + 35 minutes + 1 hr 45 minutes = 2 hr 110 minutes = 3 hr 50 minutes

Time left for Aaron to play video games = 4 hr 30 minutes - 3 hr 50 minutes = 40 minutes

PLEASE HELP I will give 100 Branly points to anyone hoo can help Which of the following is the equation of a direct variation that has a constant of variation equal to -1/2


A) y = - 1/2 x

B) y = x - 1/2

C) - 1/2 y =x

D) y = -2 x

Answers

Answer:

A

Step-by-step explanation:

Answer:d

Step-by-step explanation:

who ever answers this right gets brainliest

Answers

Answer

d.?

Step-by-step explanation:

Someone pls help and write the equation pls and the answer

Answers

Answer:[tex](-7-2)=-3(-3-0)[/tex]

Step-by-step explanation:

First use slope intercept form to find the value of b (the y intercept). The slope intercept formula is

[tex]y=mx+b[/tex]

Since we are given the point (-3,2), we can say that y=2 and x=-3. m=-3. Then we get

[tex]2=-3(-3)+b[/tex]

[tex]2=9+b[/tex]

[tex]b=-7[/tex]

Since we now have the y intercept, we can convert it to a point: (0,-7). Plug this into the point slope equation:

[tex](y_{1}-y_{2})=m(x_{1}-x_{2})[/tex]

Our first point is (-3,2). Our second point is (0,-7). Therefore:

[tex]x_{1}=-3\\y_{1}=2\\x_{2}=0\\y_{2}=-7\\m=-3[/tex]

Plugging into the equation, we get

[tex](-7-2)=-3(-3-0)[/tex]

Anthony works in a grocery store.apples are on sale this week for 5 pounds for $12.00 .How much would 3 pounds cost?

Answers

Answer:

7.20

Step-by-step explanation:

12/5=2.4

2.4 for lb of apples

2.4*3=7.2

Answer:

$7.20 for 3 pounds

Step-by-step explanation:

A bag contains:


4 blue marbles


2 green marbles


1 red marble


A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?

Answers

1:2 I think it could possibly be 1 out of 2 because there’s 2 green marbles and 1 red marble there for that could be your probability

What is \text{P(roll less than 4})P(roll less than 4)start text, P, left parenthesis, r, o, l, l, space, l, e, s, s, space, t, h, a, n, space, 4, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Answers

Incomplete question:

A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.

Answer:

P(roll less than 4) = 0.50

Step-by-step explanation:

First, we need to list the sample space.

[tex]S = \{1,2,3,4,5,6\}[/tex]

From the above, we have that:

[tex]n(S) = 6[/tex] i.e. total rolls

Represent Rolls less than 4 with L4; So,

[tex]L4 = \{1,2,3\}[/tex]

[tex]n(L4) = 3[/tex] i.e. number of rolls less than 4

The required probability is calculated as:

[tex]Probability = \frac{n(LA)}{n(S)}[/tex]

[tex]Probability = \frac{3}{6}[/tex]

[tex]Probability = 0.50[/tex]

Answer: 0.50

Step-by-step explanation: Khan academy

NEED HELP NOW One solution to a quadratic equation is x=-5/3 What is true about any remaining solutions? There are no complex solutions. There are no other real solutions. There are two or more complex solutions. There is exactly one complex solution. There is exactly one more real solution. There are at least two more real solutions.

Answers

Given:

One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex].

To find:

The true statement about remaining solutions.

Solution:

We know that, number of solution to a quadratic equation is 2.

According to the complex conjugate root theorem, if a complex number x+iy is a root of an equation then its conjugate x-iy is also a root of that equation.

It means, the complex roots are in the pair of two.

Using complex conjugate root theorem, a quadratic equation has either 0 complex roots or 2 complex roots.

One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex], which is real.

There are no complex solutions and there is exactly one more real solution.

Therefore, the correct options are A and E.

Ruben bought 6 comic books for 21$. Each comic book is the same price. How much is one comic book?

Answers

Answer:

$3.50

Step-by-step explanation:

A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?

Answers

Given :

A 7-inch candle burns at a rate of 2 inches an hour.

To Find :

An equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns.

Solution :

We know, linear equation is given by :

[tex]y = mx + c[/tex]

At x = 0 -> y = 7

So,

7 = m(0) + c

c = 7       .....1 )

At x = 1 -> y = 5

So,

5 = m(1) + c

c + m = 5   .....2 )

Solving equation 1 and 2 , we get :

m = -2 and c = 7

Therefore, equation is given by y = -2x + 7 .

Hence, this is the required solution.

Answer:7–2x

Step-by-step explanation: you are subtracting 7 from 2 hours /x

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $20 and then an additional 6 cents per minute of use. In Plan B, the customer pays a monthly fee of $31.50 and then an additional 4 cents per minute of use. For what amounts of monthly phone use will Plan A cost less than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.

Answers

Answer:

m>575

Step-by-step explanation:

let the total cost be y

and the number of minutes be m

Plan A

$20 and additional 6cent

6cent to dollar =$0.06

the linear expression is given as

y=20+0.06m---------1

Plan B

$31.5 and additional 4cent

6cent to dollar =$0.04

the linear expression is given as

y=31.5+0.04m----------2

Equating 1 and 2 we can find m

20+0.06m=31.5+0.04m

20-31.5=0.04m-0.06m

-11.5=-0.02m

m=11.5/0.02

m=575

therefore m>575

When given a table of ordered pairs, you can find the slope by choosing any two ordered pairs from the table. Determine the slope represented in the table below. X Y
5 5
7 3
9 1
11 -1​

Answers

Answer: The slope is 2/2 aka 1

Step-by-step explanation:

you do

y2 - y1 over x2-x1

Answer:

-1

Step-by-step explanation:

slope formula is y2-y1/x2-x1

3-5/7-5= -2/2=-1

How do I divide decimals by whole number.

Answers

Answer: You move the decimal to the right for the dividend and divisor.

Step-by-step explanation:

Please help!
Translations and dilation

Answers

Answer:

It looks to me to be a dilation of the old figure

Step-by-step explanation:

The old figure is bigger than the new one. in order for this to happen you need to make it smaller. These to are also similar triangles

P.s.

I hope it is right and it helps you

Can you please help me with this?​

Answers

Answer:

[tex]m=\frac{6}{5}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

(2, -5)

(7, 1)

[tex]m=\frac{1-(-5)}{7-2}[/tex]

[tex]m=\frac{1+5}{5}[/tex]

[tex]m=\frac{6}{5}[/tex]

Shawna is going out of town for the day, so she asks a friend to watch her 3 dogs. She wants to 1 leave of a pound of food for each dog. If a can of dog food has 0.75 pounds of food, how many 2 cans should Shawna leave?​

Answers

Answer:

2

Step-by-step explanation:

if she has 3 dogs and each gets a pound of food. Each can if food has .75 pounds in it then you would times that by then you would get 4 cans of food.

Shawna wants to leave 1 pound of food per dog, and she has 3 dogs. So, she needs 3 pounds of food in total.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

A can of dog food has 0.75 pounds of food.

To determine the number of cans of food Shawna should leave, divide the total amount of food she needs (3 pounds) by the amount of food in each can (0.75 pounds).

⇒ 3 pounds / 0.75 pounds/can = 4 cans of food.

Therefore, Shawna should leave 4 cans of food for her 3 dogs.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

Find the slope of the line that passes through the points (5.3) and (10, 8).

Answers

Answer:

The answer is 1

Step-by-step explanation:

because on a graph with the 2 points the slope goes by 1/1

Solve the equation.

54k = 0

A 27
B 1
C 54
D 0

Answers

Answer:

D

Step-by-step explanation:

ANY THING X 0 IS 0

Answer:

0

Step-by-step explanation:

zero divide any number is zero

Which values from the set {−8, −5, −1, 0, 2, 4, 9} satisfy this inequality?

−12x + 6 ≥ 8

a. -8 -5 -1 0 2 4 9
b. -8 and -5 only
c. 4 and 9 only
D.-8 -5 and -1 only

Answers

Answer:

the answer that i got was D

Step-by-step explanation:

i did -12x+6

the X is the numbers that they give you so

you would do -12*-8+6 = 102 which is bigger than 8

then you would do -12*-5+6= 66 which is bigger than 8

and last but not least you do -12*-1+6=18 which is bigger than 8

In the next several games, Pedro Smalley, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Show your work

Answers

Answer:

5/8

Step-by-step explanation:

Total pitches thrown = 384

Number of fastballs = 240

To obtain the decimal that should be used to update report ;

Take the ratio of fastballs to the total number of pitches :

Fastballs / total number of pitches

240 / 384

= 30 / 48

= 10 / 16

= 5 / 8 (lowest term)

Review the proof of Cosine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 + cosine theta Over 2 EndFraction EndRoot.

Which step contains an error?

Answers

Answer:

Error in step (5)

Step-by-step explanation:

Steps                             Statements

    1                            cos(2x) = 2cosx - 1

    2                           Let (2x) = θ

    3                           Then x = [tex]\frac{\theta }{2}[/tex]

    4                           cos(θ) = [tex]2\text{cos}^2{\theta}-1[/tex]

    5                           cos(θ) + 1 = [tex]2\text{cos}^2{\frac{\theta}{2}}[/tex]

    6                            [tex]\frac{1+\text{cos}\theta }{2}=cos^{2}\frac{\theta }{2}[/tex]

    7                            [tex]\text{cos}^{2}\frac{\theta }{2}=\frac{1+\text{cos}\theta }{2}[/tex]

    8                            [tex]\text{cos}(\frac{\theta }{2})=\pm \sqrt{\frac{1+cos(\theta)}{2} }[/tex]

By comparing the solution given in the picture attached with the solution above,

Step 5 has error.

There should be [cos(θ) + 1 = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]] in place of [-1 + cos(θ) = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]]

Answer:

C. Step five

Step-by-step explanation:

got it right on edge :)

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