Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.
Art: A rectangle is graphed on a coordinate plane. The horizontal x-axis and vertical y-axis are solid. The vertex labeled as A lies on begin ordered pair 0 comma 0 end ordered pair. The vertex labeled as B lies on begin ordered pair a comma 0 end ordered pair. The vertex labeled as D lies on begin ordered pair 0 comma b end ordered pair. The vertex C is unlabeled. Diagonals A C and B D are drawn by dotted lines.
The coordinates of rectangle ABCD are A(0, 0), B(a, 0), C( , ), and D(0, b). The length of AC⎯⎯⎯⎯⎯ is equal to . The length of BD⎯⎯⎯⎯⎯ is equal to . The diagonals of the rectangle have the same length. Therefore, AC⎯⎯⎯⎯⎯ is congruent to BD⎯⎯⎯⎯⎯.
Step-by-step explanation:
Given coordinates of the rectangle ABCD:
A(0, 0), B(a, 0), C(x, y), D(0, b)Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
AB = a - 0 = a, CD = aAD = b - 0 = b, BC = bSo the coordinates of C are:
x = a, y = bNow the diagonals:
AC = √(a-0)² + (b-0)² = √a²+b²BD =√(0-a)² + (b -0)² = √a² + b²Since AC = BD, we can state they are congruent
Evaluate-5X 6 =
(Need help)
Answer:
x=7
Step-by-step explanation:
i think
Give an example for a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles,and a pair of alternate interior angles.
Answer:
One way to identify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles.
Step-by-step explanation:
so if I was you I would use that strategy to try to find the pair of the Alternate exterior angles.
so the agles are probably 1 and 7 but i don’t want you to get it wrong so here’s a picture Of an example.
Who is in NMUSD school district
Answer:
not me
Step-by-step explanation:
not really me
why? cause i dont live there
Help thanks please number 7
What is the rule for finding the distance of a point when the points are in the same Quadrant?
Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)
Answer:
no it is not because two different input values have the same output
Step-by-step explanation:
Answer:
Yes it is a function... Because we have output for each input
someone please help me with this
Answer:
The answer is 42.
Step-by-step explanation:
5n - 13 = 42
5n = 42 + 13
5n = 55
n = 11
explanation about the solution = The angles formed by the segments measuring 42 and 5n - 13 are equal in measure which means the segments are as well.
Enter a numerical expression for the word expression.
the sum of 22 and 8
The graph of the function f is shown, f(5)=
Answer: -1 and 5
Step-by-step explanation:
You see you know in f(x) that become f(5) that means x=5 so in the graph you have to find the line of the x ( it is written) and then just see where the the curve is “ cutting” the graduation 5 of the line of the x . Sorry if you don’t understand, have an amazing rest of you day :)
find the slope of the line that contains the points (-6, 4) and (2, -8)
if you answer correctly u get brainliest
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{-8-4}{2+6}=\frac{-12}{8}=\boxed{-\frac{3}{2}}[/tex]
Hope this helps.
Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that at most 2 people have blue eyes
Answer:
1 is the answer good luck
The GCF of 24 and 40 is _______. Numerical Answers Expected! Answer for Blank 1:
the GCF of 24 and 40 is 8
if there's anything else you need to know, let me know :)
Answer: its 8 hehe
Step-by-step explanation:
Plz help I will mark branliest
Answer:
C! Simply solve for X.
Remove the parenthesis,
Move the terms,
Combine the like terms,
Divide both sides.
Ben is an Accounts Payable clerk and has specific instructions from the controller to print 4 reports twice a day on day 1, then 3 of those reports twice a day on days 2 through 6, then on the final day,1 of those reports twice a day. How many reports will Ben print in 7 days?
Answer:
8 +6 + 6 + 6 + 6 + 6 +2 = 40
Step-by-step explanation:
How many decimal places will there be in the product shown below? 23.58 x 14.2 = ?
Answer:
3 decimal places
Explanation:
334.836
Now count:
334.8 3 6
1 2 3
Have a beautiful day. And stay safe.
29/25 as a percent help me
Answer
116%
hope this helps!!!!!!!!!!!!!!!!!
PLEASE HELP ME 50 POINTS!!!!
Identify an expression that is equivalent to 0.3(15y).
Answer: 4.5y
Step-by-step explanation: You have To Multiply 15 times 0.3 and you get 4.5y
Answer:
You have To Multiply 15 times 0.3 and you get 4.5y
Step-by-step explanation:
how many tens should be added to 56 to get 506
Answer:
Step-by-step explanation:
56+ ? = 506
? = 506 - 56
506 - 56
= 450
Answer 450
or 45 tens
45 tens must be added to get 506
What is Place Value?In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number based on its position in the number. For example, the place value of 7 in 3,743 is 7 hundred or 700. However, the place value of 7 in 7,432 is 7 thousand or 7,000.
Given here: The number 56
To convert it to 506 we must add 506-56=450
∴ we must 45×10 to 56 to convert it to 506
Hence, 45 tens must be added to get 506
Learn more about the place value here:
https://brainly.com/question/27734142
#SPJ2
Please help will give you 20 points :)
Answer:
the value is 2133 hope (doesnt) helps
Step-by-step explanation:
51/5=? In long division
Answer: 10.2
I hope that this helps! :3
Answer:
51/5 = 10 with a remainder of 1
Step-by-step explanation:
10
5 | 51 (The '|' is the part implying division)
-5
----------- (These are equal signs)
01
- 0
------------
1
(Sorry if this looks confusing)
Kiana earns $32,000 salary at the start of her career (term 0). Each year, she gets a 5% raise.
Fiona, Richard and pip share some money in the ratio of 3:5:1. Fiona and pip receive £12. How much does Richard get
Answer:
£15
Step-by-step explanation:
just is innit
round 427,266 to the nearest ten thousand
Answer:
430,000
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
Michelangelo buys a computer for $400. He is charged a 6% tax.
How much is just the tax?
How much is the total?
pls show work
Answer:
The tax is $24, so the total is 424
Step-by-step explanation:
6%= 0.06
0.06*400=24
24+400=424
Using the given sets of points, identify slope (m), y-intercept (b), and write the equation. (0, 4) and (-1, -1)
Answer:
y = 5x + 4
Step-by-step explanation:
Its a given that the y intercept is 4 because on that point x = 0
B= 4
now you solve for your slope using y - y' / x - x'
when you plug in the numbers you get -1 - 4 / -1 - 0 which simplfies to -5 / -1 which simplifies just to 5, so we know the slope is = 5
now we just plug In and the base equation is y = mx + b.
FIANCE 50 POINTS
How does the concept of beta impacts financial decision making?
Answer:
The concept of beta impacts financial decision making by providing information volatility or systematic risk of a security.
The information that provided by the concept of beta would take form in a comparison between your chosen securities with other securities that exist in the market. For investors who prefer low risk but small and steady return, they can use the concept of beta to find out the securities with low level of volatility.
Step-by-step explanation: I hope this helps! If not sorry!
Look at the Employee Time Card for
Gwen Ramirez. If Gwen's hourly wage is
$12.00 how much money did she make on
Tuesday?
$84.00
$64.00
$84.50
$96.00
What is the median for 6.0 6.0 7.0 7.0 8.0 9.0
The word median means middle.
The median is 7.0 because it’s in the middle of the following numbers.
In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours?
Answer:
6/12 snow
Step-by-step explanation: