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

Solve this inequality for x.

Answers

Answer: [tex]\boxed{A}[/tex]Solution Steps:

______________________________

1.) Multiply both sides of the equation by 5:[tex]81[/tex] × [tex]5=405[/tex][tex]55[/tex] × [tex]5=275[/tex]

 - Since 5 is positive, the inequality direction remains the same.

Inequality at the end of Step 1:

[tex]405-(1[/tex] × [tex]5+1)[/tex] ≤ [tex]275[/tex]2.) Solve the parenthesis:Multiply 1 and 5 to get 5.Add 5 and 1 to get 6.

 - We turn the fraction into parenthesis by multiplying because a fraction is originally is dividing, so we have to do the opposite, which in this case is multiplying.  

Inequality at the end of Step 2:

[tex]405-6x[/tex] ≤ [tex]275[/tex]3.) Subtract 405 from both sides:[tex]405-405=[/tex] Cancels Out[tex]275-405=-130[/tex]

 - We do this to get 1 number/variable on each side.

Inequality at the end of Step 3:

[tex]-6x[/tex] ≤ [tex]-130[/tex]4.) Divide both sides by −6:[tex]-6x[/tex] ÷ [tex]-6=x[/tex][tex]-130[/tex] ÷ [tex]-6=\frac{-130}{-6}[/tex]

 - Since −6 is negative, the inequality direction is changed.

Inequality at the end of Step 3:

[tex]x[/tex] ≥ [tex]\frac{-130}{-6}[/tex]5.) Reduce the fraction [tex]\bold{\frac{-130}{-6}}[/tex] to lowest terms by extracting and canceling out −2:[tex]-130[/tex] ÷ [tex]-2=65[/tex][tex]-6[/tex] ÷ [tex]3[/tex]

 - Extracting and cancelling out just means dividing. So we just divide the numerator and denominator by -2.

Inequality at the end of Step 5:

[tex]x[/tex] ≥ [tex]\frac{65}{3}[/tex]6.) Turn the fraction into a mixed number:[tex]\frac{65}{3}=21\frac{2}{3}[/tex]

 - You can figure this out by dividing 65 by 3 which gives you a decimal, then turn the decimal into a fraction.

______________________________

SOMEONE PLEASE HELP!!! THIS IS MY LAST QUESTION!!!

Answers

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex] \frac{18}{27} = \frac{20}{x} \\ \\ \frac{540}{18} = \frac{18x}{18} \\ \\30 = x[/tex]

Happy to help!

Answer:  x = 30

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

Explanation:

Due to the parallel lines, we have two similar triangles. So the sides are proportional.

18/27 = 20/x

2/3 = 20/x

2x = 3*20

2x = 60 .... cross multiply

x = 60/2

x = 30

---------------

Another way you can approach it is to say

18/(18+27) = 20/(20+x)

18/45 = 20/(20+x)

2/5 = 20/(20+x)

2(20+x) = 5*20

40+2x = 100

2x = 100-40

2x = 60

x = 60/2

x = 30

Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
and his son drove 7,997 miles. Martin drove the rest. How many miles did Martin drive?
Show work.

Answers

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

can someone fact check this to make sure its correct

Answers

All your answers look good!

Answer:

looks good

Step-by-step explanation:

Is this a function?

Answers

No I don’t believe it is

If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets

Answers

Answer:

$63

Step-by-step explanation:

First, divide 28 by 4 to get 7

Now we know that one ticket cost $7.

Do 7 times 9 to get 63

9 tickets costs $63

9 movie tickets would cost $63.

Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.

May I have brainliest please? :)

a package of nine pens cost 3.60 how much is one pen

Answers

Answer:

Step-by-step explanation:

40 cents

Answer:

40 cents.

Step-by-step explanation:

If you take 3.6 and divide it by nine, you get 0.4. To check, if you multiply 0.4 times 9, you get 3.6. Hope this helps :)

4xr=14 pls i need help.

Answers

Answer: x =7/2 or r = 7/2 so this means there the same.

Step-by-step explanation:

>> Answer

_________

[tex] \: [/tex]

4 × r = 14

4r = 14

r = 14/4

r = 7/2

r = 3½ or 3,5

When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,
the result is

Answers

Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10

Noah fills a soap dispenser from a big bottle that contains 2 1/3 liters of liquid soap. That amount of soap will fill 3 1/2 dispenser. How many liters of soap fit into one dispenser

Answers

Answer:

i have no more money to buy a candle shop full of dogs with cats and people

Step-by-step explanation:

ur mae

Answer:

None

Step-by-step explanation:

If two parents, one with brown eyes (a dominant trait) and the other with blue eyes (the recessive trait) produce one twin boy with blue eyes, what is the probability that a fraternal twin will transmit the blue eye allele to his or her offspring

Answers

Answer:

50 percent

Step-by-step explanation:

It is given that one of the parent with a dominant trait have brown eyes and the other parent with a recessive trait has blue eyes. They produce a twin boy with eyes that is blue in color. So the probability of the fraternal twin to transmit his allele of blue eye to his or her offspring is 50 percent.

And also the probability of the offspring to pass the allele on to his or her offspring is 50 %.

The product rule is used : 0.5 x 0.5 = 0.25 or 25%.

Use long division to solve for n. 6,588 ÷ 4 = n

Answers

Answer:

n = 1647

Step-by-step explanation:

Answer:

n = 1647

Step-by-step explanation:

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price.



A.) What is the selling price, in dollars, of the book?



B.) A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book?

Answers

Answer:

First, find 75% of 38. Then multiply that number by 1.06. That should give you the answer. Your welcome if your still confused just answer back!

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

I need this it’s due today

Answers

answer
a=9

hope this helps and have a wonderful day :)

i think the answer is 9

Step-by-step explanation:

step 1. simplify both sides of the equation

step 2. add 17 to both sides

step 3. multiply both sides by 3

answer a =9

PLEASE HELPPPP ME!!!!!

Answers

Answer:

Problem 1: No

Problem 2: Yes

Step-by-step explanation:

Problem 1:

{(-2, 1), (-2, 3), (0, -3), (1, 4), (3, 1)}

This relation is not a function because there are two y-values, 1 and 3, related to one x-value, -2.

Thus, for a relation to be a function, every x-value must be related to exactly 1 y-value.

Problem 2:

{(0, 2), (3, 4), (-3, -2), (2, 4)}

In this relation, each x-value (domain) has exactly one y-value (range) that it is related to. Therefore, this is a function.

Find the value of x. 1) m angle2=3x-6 120° 2 B) 10 D) 6 A) 12 C) -11​

Answers

dmdkd bdkdnsndnxnfndksndnxjxkdndkdkd disks

please help a.s.a.p!!!

Answers

Answer: I believe the answer is 2,3, and 4. If not, then it is just 2 and 4.

Step-by-step explanation:

maybeeee just 2 and 4

Complete the following table using the equation: y = -2x+5

Answers

Answer:

what table could you explain

Step-by-step explanation:

What is the decimal equivalent of the fraction 2?
0 2.125
0 2.4
O 2.1
O 2.18

Answers

Answer:

2 .1 because its closes to two

What is the least common multiple of 40 and 30

Answers

Answer:

120

Step-by-step explanation:


A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question



A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *

Answers

Answer:

y = 5x - 3

Step-by-step explanation:

The Slope of a Line

Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

We are given the points (-1,-8) and (3,12). Compute the slope:

[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]

The equation of the line now has one known value:

y = 5x + b

Let's use the point (3,12) to find the value of b:

12  = 5(3) + b = 15 + b

Solving for b:

b = 12 - 15 = -3

The required equation of the line is:

y = 5x - 3

(Giving brainliest to correct answer)

Congruence

Answers

Answer:

SAS

Step-by-step explanation:

you are given two congruent sides

and since the right angle is a vertical angle, you can one congruent angle between the triangles

The sugar is sold at & 5.4 per kg at
At what price should it be sold per kg to com
a profit of 20%​

Answers

the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price should it be sold per kg to earn a profit of 20%

Answer:

7.2 rupees

Step-by-step explanation:

Given that at a loss of 10 percent which is 90% price, we have sugar sold at 5.4 rupees per k.g

Hence, at 100 percent we have => 5.4 × (100 ÷ 90 )= 6 rupees per kg.

Therefore, at 100 percent, where we have 6 rupees per kg, to make a profit of 20% we have

6 rupees per kg x 120% = 6 × 1.2 = 7.2 rupees per kg.

Hence, the final answer is 7.2 rupees per kg to make a profit of 20%.

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

Find the x-intercepts for y = -7x2 + 4x + 9 using the quadratic formula. Choose all
correct answers.

Answers

what are the answer choices 35

The data shows the number of salad wraps sold on each day for two weeks at a sandwich shop.


Week 1: 15, 13, 14, 14, 13, 12, 13

Week 2: 18, 3, 15, 15, 16, 14, 16


Which statement about the data is true?


a. The mean of Week 1 data is a good estimate of the sandwich shop's daily sales.



b. The mean of Week 2 data is a good estimate of the sandwich shop's daily sales.



c. Both the mean of Week 1 data and the mean of Week 2 data are good estimates of the sandwich shop's daily sales.



d. Neither the mean of Week 1 data nor the mean of Week 2 data is a good estimate of the sandwich shop's daily sales.

Answers

Answer:

Did you find the answer?

Step-by-step explanation:

The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?

Answers

Answer:

you didn't post a picture :/

Simplify the expression:
Question 20 options:

A)



B)

2

C)

4

D)

Answers

Whats the expression?

Hi please help me answer this :)

Explain answer

Will give braisnlt

Answers

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is  solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.

Plz help me will put Brainiest
The maximum weight allowed per car on The Wildcat carnival ride is 297 pounds. Your friend weighs 99 pounds.
able to ride in a car together, how much can you weigh? Write and solve an inequality.

X + 99 S 198, at most 297 pounds

X + 99 5 297, at most 198 pounds

X-99 < 297, at most 99 pounds

x + 198 5 297, at most 99 pounds


Answers

Answer:

161 + 60 inequality-lessthanorequalto 221; at most 161 pounds

221 - 60 =161

Step-by-step explanation:

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