Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.

Answers

Answer 1

Answer:

i. The diagonals are congruent.

iii. Both pairs of opposite sides are parallel.

iv. The diagonals are perpendicular bisectors of each other.

Step-by-step explanation:

Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)

The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.

Note: A rectangle, therefore, has all the properties of a parallelogram:

Parallel opposite sides

Same length for opposite sides

The intersection of diagonals in the middle

A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.

A rectangle has a center of symmetry, which is the point of intersection of its diagonals.

Answer 2

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.


Related Questions

please answer asap it’s due in 1 min

Answers

They are corresponding angles. The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines:)

plesase solve this

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)

Answers

Diagram:-

Required Answer:-

Tools Needed:

pencil, paper, ruler

Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.

Is [tex]\begin{align*}\triangle XBY \sim \triangle ABC\end{align*}? Why or why not? Measure \begin{align*}AX, XB, BY,\end{align*} and \begin{align*}YC\end{align*}. Then set up the ratios \begin{align*}\frac{AX}{XB}\end{align*} and \begin{align*}\frac{YC}{YB}\end{align*}.[/tex] Are they equal?

Draw:-

a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices

Draw:-

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.

Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?

From this investigation, it is clear that if the line segments are parallel, then [tex]\begin{align*}\overline{XY}\end{align*}[/tex] divides the sides proportionally.

PLEASE HELP ME BRAINLIEST AND 20 POINTS

What is the domain of f(x) = 35x?
O all real numbers
O positive numbers and zero
O all integers
O whole numbers

Do not guess please this is important and, please explain your answer. Thank you

Answers

Domain is -infinity to +infinity. So it is all real numbers. This is because you can plug any number into the x value.

Find the missing measure and write your solution on the blank provided

Answers

Step-by-step explanation:

sum of internal angles of any triangle = 180 degrees

sum of an exterior angle and an interior angle = 180 degrees

Meredith's goal is to read one library book each week. On the first night, she read 14 pages more than of the pages in the book. If the book has 280 pages, how many pages did she
read the first night?
A 54
B
42
С
38
D
26

Answers

Answer: A : 54

Step-by-step explanation:

1/7 of 280+14

How many solutions does -3+9v=8v have

Answers

Answer:

-3 = 8v-9v

-3 = -1v

v = -3/-1

v = 3

ONE SOLUTION

Answer:

-3+9v=8v

By moving the terms,
9v-8v=3
1v=3
1v/1=3/1

So -3+9v=8v has one solution.

Find the circumference of the circle

Answers

Answer:

31.4 cm

Step-by-step explanation:

it says [tex]c =\pi d[/tex]

d stands for the diameter and to find d, just add the radius by itself.

So to find d, you would add 5 + 5 which would be 10 and multiply 3.14 which stands for pi. And the answer you would get is 31.4

Hope this helps and pls mark me brainliest if you can:)

Determine which trig function can be used to solve for x. Then, solve for x, 48° 17 Make sure your calculator is operating in "Degree Mode if applicable. Round your answer to the nearest tenth.​

Answers

Answer:

x=18.9

Step-by-step explanation:

tan48=x/17

17tan(48)=x

18.9=x

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y intercept represent? How much money will she make if she baby-sits 5 hours?

Answers

C = 5h + 3
C = 5(5) + 3
She will make $28

calculate (4-7i)-(-3+6i)

Answers

Answer:

7 - 13i

Step-by-step explanation:

1. Distribute the negative in front of (-3+6i)

2. Combine like terms

Please help someone I’m miserable I’ll pay Lol

Answers

Answer:

7,6 1/2, 5 here are your answers welcome

Drag each expression to match each number with an expression.

Number. Expression.
34 34x10*0
3,400 34x10*3
34,000 34x100
340 34x10*1

Answers

Answer:

3,400

Step-by-step explanation:

Penny’s bank account showed a balance at the beginning of the month of $180. She
spent $2.50 each day on bus tokens. Write an equation representing the amount A left in
her account after d days.

Answers

d=180-2.50x I think.

Answer:

[tex]a=180-2.50d[/tex]

Step-by-step explanation:

If Penny starts with a balance of $180, and [tex]a[/tex] represents the account left in her account after [tex]d[/tex] days. we can start modeling an incomplete equation:

[tex]a=180[/tex]

We are then told that she spends $2.50 each ([tex]d[/tex]) day. This can be represented as:

[tex]2.50d[/tex]

Let's now include the expression into the incomplete equation. Remember that since she is spending, the [tex]2.50d[/tex] will be subtracted from her balance of $180:

[tex]a=180-2.50d[/tex]

Is the equation a linear function or nonlinear function?
y = 5x + 3

Answers

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 5x + 3

Step 2: Compare

y = mx + b

y = 5x + 3

m = 5

b = 3

It is a linear function and is proportional.

it’s a linear for sure

Jacob ate 21 chips ahoy cookies in 1 hour and Bryant ate 25 chips ahoy cookies in the same time, at this rate, how mant whole cookies could Bryant eat in 80 minutes

Answers

Answer:
55 cookies in 80 mins
Step-by-step explanation:
1 hour has 60 mins
so 25/60=0.417
0.417/3=0.139
0.139x4=0.556
so he can eat 55 cookies in 80 mins

What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)

Answers

Answer:

2550

Step-by-step explanation:

Hope This Helps

Answer:

2550

Step-by-step explanation:

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

Answer:

I believe the answer is 50 ft

Step-by-step explanation:

pleas yall help me ill give a lot of points and brainiest

Answers

It’s the first one I believe.

Answer:

Third choice.

Step-by-step explanation:

The left side is "8 less than 4 times a number"

The right side is "2 times the difference of 2 times the number decreased by 3"

Answer: Third choice.

The first step to change a fraction to a percent is to ...
A. Multiply the numerator by the denominator
B. Change the fraction to a decimal
C. Move the decimal point to the right

Answers

Answer:

a

Step-by-step explanation:

i am smart

Answer:

B

To change a fraction into a percent you need to turn it into a decimal so you can then move the decimal place 2 times to the right. It looks something like this:

1/2 ------>  0.5 -----------> 50%

To change a percent into a decimal move the decimal place twice to the left. Like so:

85.5% ------> 0.855

Step-by-step explanation:

Find the area of a circle with a radius of 11 inches

Answers

Answer:

A ≈ 380.13in²

Or A= 379.94in²

Step-by-step explanation:

Formula for area:

A = π r²

A=π ·11² ≈ 380.13in²

If π is used as 3.14 then

A=3.14·11² = 379.94

A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?

Answers

Answer:

1/3 cups of vanilla per teaspoon

Step-by-step explanation:

Which of the following is a polynomial with roots 5, -6, and 7? (2 points)

Answers

The answer would be C

Answer:

the answer is C

Step-by-step explanation:

which one of the mappings is a function?

Answers

Answer:

the answer is x.

Step-by-step explanation:

the x values are only being used once, therefore, it is a function

Score: 0 of 1 pt
4 of 40 com-
3.1.11
The line graph to the right shows the number of students per teacher in public elementary and
secondary schools for the years 1998 through 2006,
Approximate the number of students per teacher in 1999,

Answers

Answer:

~ 17.4

Step-by-step explanation:

The number of students per teacher in 1999 is approximately 17.4  

Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.

Answers

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

Someone please....
Please define the following terms:

mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.

Answers

Answer:

Mercantilism

Economic policy held that a nation's power was directly related to its wealth; manufactured goods to England and America needed favorable balance of trade, system could bring the colonies prosperity of the colonies didn't see it this.

Import

bring (goods or services) into a country from abroad for sale.

Navigation acts

1651 English government passed several laws to control colonial trade and then sure the colonies remain profitable, increased revenues for England and increased the cost of law-enforcement in America, meant more English involvement in colonial affairs

enumerated articles

pl (plural only) (historical) sugar, tobacco, cotton and indigo - the goods that the English colonies could export only to England in the 17th century.

Legislature

the legislative body of a country or state.

Indentured Servant

Historically, an indentured servant or indentured laborer was a man who took out a loan, most often to pay for the cost of his transportation to a job location: from Europe to North America, for example.

Export

Send (goods or services) to another country for sale.

Dominion of New England, English Bill of Rights.

The English Bill of Rights created a constitutional monarchy in England, meaning the king or queen acts as head of state but his or her powers are limited by law. Under this system, the monarchy couldn't rule without the consent of Parliament, and the people were given individual rights.

Step-by-step explanation:

Need help. Find the ratio of the perimeters and the ratio of the areas

Answers

Answer: The ratio of the perimeters is 3:4, and the ratio of the areas is I don't know how to find the ratio of the areas please show me this formula next time.

Step-by-step explanation:

simplify the like terms

-2x\:+\:3y\:-\:3xy\:+2yz\:-\:3x^2y\:+5x\:-\:4y+3xy

Answers

Answer:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Step-by-step explanation:

Given

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

Required

Simplify

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

We start by collecting like terms

[tex]-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y[/tex]

Then simplify like terms:

[tex]3x-y+0+2yz-3x^2y[/tex]

[tex]3x-y+2yz-3x^2y[/tex]

Conclusively, when [tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex] is simplified, the result is [tex]3x-y+2yz-3x^2y[/tex]

Hence:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

I need help with four answers! Will mark brainliest : )!
Q.1:Which symbol replaces the box to make the statement true?

4⋅16−16□4⋅[24−2⋅(4+8)]



Q.2: Which expression has a value less than the given expression when x = 5?

3x + 15
-----------------------------------
Answers options:
2x²

x² + 5

3(x + 5)

4x + 5
Q.3:Let m = 4 and n = 5.

Select from the drop-down menu to create a true statement.

4m+4n ​ = 2m2+
----------------------------
Answer options:
M
N
MN 2
Q.4: Which expression completes the statement to form a true equation?

28–3+2=
----------------------------------------------------
Answer options:


5(4 + 2)

3² + 19

44–24

Answers

Answer:

Q1:=

Q2:4x+2

I believe question 3 is MN 2

3^3

E. You can see a person in 1/4 the windows, How many people are visable​

Answers

Answer:

0

Step-by-step explanation:

You say that you can see a quarter of a person in a window. You cant have 1/4 of someone so the answer is 0 or 0.25

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