prove that a rectangle has congruent diagonals

Answers

Answer 1

Answer:

Look below

Step-by-step explanation:

Lets say there is a rectangle abcd

One way is: Triangle ABC is congruent to triangle DCB

Another way is: Since a rectangle is a parallelogram too, segment ab=dc. This is because opposite sides of a parallelogram are congruent.


Related Questions

Look at the following expression. Which operation should be done first?
23 – 5 × 4 + 32 (a small 2 next to the 3)
1.) 5 × 4
2.) 32 (small 2)
3.) 4 + 3
4.) 23 – 5

Answers

Answer

2.

Step-by-step explanation:

The volume and base area of a rectangular cargo container is 720 cubic
meters and 120 square meters. Find the height of the container? *

A)86,400m3
B)400m3
C)4m
D)6m

Answers

Answer:

D, 6m

Step-by-step explanation:

Step one:

Given data

The volume and base area of a rectangular cargo container is 720 cubic

= 720m^3

The area of the cargo container is 120 m^2

Required

We want to find the height of the container

Step two

The expression  for the volume is given as

Volume= Area* height

so,

720= 120*h

divide both sides by 120

720/120= h

h= 6 m

The height is 6m

The Pythagorean theorem

Answers

Answer:

b = 3√37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Define

a = b

b = 14

c = 23

Step 2: Find b

Substitute [PT]:                     b² + 14² = 23²Isolate b term:                      b² = 23² - 14²Exponents:                           b² = 529 - 196Subtract:                               b² = 333Isolate b:                               b = 3√37

Answer:

b=3root37

Step-by-step explanation:

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

if there where 10 apples and my frend took 6 how many do i have

Answers

Answer:

10-6=4

if your friend took 6 apples out of the 10 you have you would have 4 left.

Step-by-step explanation:

The diameter of a circle is 32 inches. What is the circle's circumference?

Answers

Answer:

32[tex]\pi[/tex]

Step-by-step explanation:

if diameter 32 then radius 16

circumference formula 2*[tex]\pi[/tex]*radius

32[tex]\pi[/tex]

Solve (9 - 3 x 2)^2 someone help me please im failing

Answers

Answer:

9

Step-by-step explanation:

Using PEMDAS, we do what inside the parentheses first.

Multiplication before subtraction:

9-6 = 3.

Finally, 3^2 = 9

Pended for the parenthesis:
9-6 = 3
3^2 = 3*3
The answer is 9

A biologist is recording the loss of fish in a pond. He notes the number of fish, f, in the pond on June 1. On July 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on June 1. What is the number of fish in the pond on June 1?

Which equation can be used to find the number of fish in the pond on June 1?


63−f=52

f−52=−63

f−52=63

f−63=−52

Answers

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

Which graph represents all of the solutions of

Answers

Step-by-step explanation:

Solve the inequality for b

-15b <= 45 divide both sides by -15, since you're dividing by a negative number switch the direction of the sign.

b >= -3

So, your number line is all values of b greater than or equal to -3. Since it is including -3, the circle will be filled and increase to the positive.

5,1,0,4,0 what is the range?

Answers

Answer:

range: 4

Step-by-Step Explanation:


A circle is cut in half and removed. What is the approximate area (shaded region) of the remaining portion of the circle in square feet? There is a picture of a circle with a line through the middle showing 12 feet.
12 feet ( A=pie(3.14)r^2)
Options are: A. 60 ft2 B. 120 ft2 C. 225 ft2 D. 450 ft2

Answers

Answer:

Step-by-step explanation:

area of a whole circle is pi [tex]r^{2}[/tex]

diameter is 2*r

1/2 * pi * [tex]6^{2}[/tex]   will find the area of 1/2 of the circle that has a diameter of 12'

56.54866 '

so approx  60 ft

PLEASE HELP ME I ONLY HAVE 5 MINUTES TO TURN THE WHOLE ASSIGNMENT IN

Answers

Answer: 2

Step-by-step explanation:

Answer:

Im pretty sure the answer is 2. Good luck<3

Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?

Answers

Answer:

2 tablespoons of salt

Step-by-step explanation:

If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.

(sorry if this is confusing but I hope it helped)

1. Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? *
plz help and explain
2. Of the 50 players in a school band, 12% play a woodwind instrument. How many players play a woodwind instrument? * Both different questions

Answers

Answer:

14

Step-by-step explanation:

add the stuff together

In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?

Answers

Answer: the peaches were a lighter shade of orange

Please help me ASAP

Answers

Answer:

With What

Step-by-step explanation:

It’ll go from lowest temp to highest.
1. Gainesville
2. Alford
3. Follett
4. Fowlerton

prove that cos130°+cos110°+cos10°=0​

Answers

Answer:

Use the formula cosC+cosD:2cos(C+D/2)cos(C-D/2) Use this in the question: 2cos(10+110/2)cos(10-110/2)+cos130=0 2cos60°cos(-50°)+cos130°=0 2×1/2.cos50+cos130=0 cos50+cos130=0 2cos(50+130/2)cos(50-130/2)=0 2cos90.cos40=0 2×0.cos40=0 0=0 H.P

Step-by-step explanation:

I hope this will help you!

Choose the correct description of the pattern below. Then find the next 3 number
4 6 9 13.5
Each number is 1.5 times the previous number
Each number is 2/3 of the next number
Each number is 3/2 of the previous number
Written as decimals the next 3 numbers are
PlS HELP!

Answers

Each number is 1.5 times the previous. This makes answers A and C correct.

The next 3 numbers are 20.25, 30.375, 45.5625

Simplify the following expression and explain your answer. 3x-y+2y+4xy


show your work plss

Answers

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Step 1

3x-y+2y+4xy  equation/Question

step 2

3x-y+2y+4xy  simplify by removing brackets and combining terms

(4xy)+(3x)+(-y+2y)

4xy+3x+y

answer

4xy+3x+y

Answer:

(2x+2y)(2y)+3x-y

Step-by-step explanation:

. . 3x-y+2y+4xy

3x+y+4xy

x²+2xy+y²-x²+2xy-y²+3x-y

(x+y)²-(x²-2xy+y²)+3x-y

(x+y)²-(x-y)²+3x-y

=(x+y+x+y)(x+y-x+y)+3x-y

(2x+2y)(2y)+3x-y

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5. what is the midrange

Answers

Answer:

5.5

Step-by-step explanation:

Given the set of data

5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

The average of the least and the greatest value is known as the midrange

The formula for calculating the midrange is expressed as shown:

Midrange = (Greatest value + Least value)/2

Given

Greatest value = 10

Least value = 1

Midrange = 10+1/2

Midrange = 11/2

Midrange = 5.5

Hence the midrange of the data is 5.5

Mrs. Feinstein recorded the weight, in pounds, of each of her 8 great-grandchildren, Her data are shown 45. 52. 31. 27. 38, 60, 44, 55 What is the mean absolute deviation of the data? a 0 pounds b. 9 pounds C 10 pounds d. 44 pounds​

Answers

Answer:

D. 44 pounds

Step-by-step explanation:

I believe this is the answer, I have not done this in a while so let me know how I did :)

rent paid in advance rs 500 in journal???
salary rs 2000 was due but not yet paid in journal???​

Answers

Answer:

payment in advance is prepayments-Asset

Not yet paid is Accruals.. -Liability..

i didn't get your question though??kindly reframe it.

Help help please !!!!!!

Answers

Answer:

maybe Add to eliminate y because signs are different

R IN Complete the following statement. The quotient of 5 = A is equal to the quotient of A +5. А. B C D E O== 0 1 NEXT QUESTION O ASK FOR HELP​

Answers

A=5 and 0=5A is there answer

Simplify:
3 + {[(8 ÷ 2) + 2] + 8} =

Answers

Answer:

The answer is 17

hope this helped and good luck on your test! :D

Step-by-step explanation:

FREEBEE POINTSSSSSSSSSSSSSSSSSS
Which situation leads to a unit cost of $4 per hat?
A.
4 hats for $24
B.
12 hats for $48
C.
$6 paid for 2 hats
D.
$4 paid for 4 hats

Answers

Answer:

I think that the answer is B.

Step-by-step explanation:

Hope this helps :)

The situation which leads to a unit cost of $4 per hat is 12 hats for $48. Hence, option B is correct.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data given in the question,

Cost of one hat = $4

Cost of 12 hat = $4 × 12 = $48.

Therefore, $48 is the price of 12 hats.

To know more about the arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.

Answers

Answer:

17.6 cm

Step-by-step explanation:

Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.

1/2 x 22 x 16 = 1/2 x 20 x BD

BD = (1/2 x 22 x 16) / (1/2 x 20)

BD = 17.6 cm

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

Answer:

84

Step-by-step explanation: (edited)

52% problems are pointless i.e. 48% are NOT pointless.

Recall that 1% = 1/100.

Therefore 48% = 48/100 = 12/25.

Let x be the number of problems that are not pointless.

x/175 = 12/25

x = 84

Answer:

84

Step-by-step explanation:

According to the question

175×48%

175×48/100

7×48/4

7×12

84

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

Other Questions
Kate started with a piece of bubblegum that was 5/8 in wide. She later blew a bubble that was 2 7/8 in wide. How much wider was Kates bubble than the original price who is john smith and why is he important . how does exercise contribute to your health? Crude birth rate 38/1,000 individualsCrude death rate 24/1,000 individualsNet migration rate 2/1,000 individuals(i) Calculate the national population growth rate for country X. Show your work.(ii) Using the rule of 70, calculate the doubling time for this population. Which statement accurately describe an element of Islamic culture? Choose all answers that are correct. Caliphs were prophets of equal stature with Muhammad. Jihad refers to a holy war against enemies of Islam. 14 points I really don't know flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff. Hey guys p lease help!! hi waht is mm in algebra maths 2) You have 4 Dragon Ball Z drawings and 5Pokemon drawings. Your brother has the sameratio of Dragon Ball Z to Pokemon drawings,only he has 10 Dragon Ball Z drawings. Howmany Pokemon drawing does he have? Showyour work. (Hint, you can have a fraction of adrawing if it is part way done). PLEASE HELP WITH MARK BRAINIESTA rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping? WILL GIVE BRAINLIEST PLS HELPChantal is planning to hike with some friends in the mountains. The trail map below shows the actual distance of their route from the beginning of the Blue Trail to the junction with the Red Trail, and from there to the top of Peak 1.Chantal determined that the length of their route on the map measured 4 1/2 inches. Based on that length, what is the scale on the map?Blue trail: 2.4 miles, Red trail: 1.6, Green trail: 1.8A. 1 inch : 1 1/4 milesB. 1 mile : 1 1/8 inches C. 1 mile : 8/9 inchD. 1 inch : 8/9 mile Which political party believes in small (less) government? Why SHOULDN'T we have community service?PLS I LITTERALLY SAID SHOULDN'T PLS I BEG OF U SHOULDN'T NOT SHOULD(15 points) Stratton shipyards has 10 million dollars of sales and six million of operating cost including depreciation the company has 20 million of investor supplied operator Capital that has a cost of capital of 10% what is the firm's economic value-added to get from the company's overall tax rate of 40% Can somebody help me with this? Need this very badly What type of figurative language is used in the sentence below?"Tell her to hang in there, Noah."A.PersonificationB.IdiomC.SimileD.Metaphor Evaluate the expression: (8 12) + 60 + (4)2 Which best describes the importance of meiosis to living organisms? *O genetic variation and growthO growth and developmentO development and sexual reproductionO sexual reproduction and genetic variation