Which of the following completes the proof?
Triangles ABC and EDC are formed from segments BD and AC, in which point C is between points B and D and point E is between points A and C.
Given: Segment AC is perpendicular to segment BD
Prove: ΔACB ~ ΔECD
Reflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, ________. This establishes that ________. Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
translate point E' to point A; ∠E'D'C' ≅ ∠ABC
translate point D' to point A; ∠E'D'C' ≅ ∠BAC
translate point D' to point A; ∠D'E'C' ≅ ∠BAC
translate point E' to point A; ∠D'E'C' ≅ ∠BAC
Answers
From the given question, the required answer is option D. It can be deduced that: Reflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, (translate point E' to point A). This establishes that (∠D'E'C' ≅ ∠BAC). Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
Rigid transformation is a process of resizing a given shape or figure. This can be done by either increasing or decreasing its dimensions (size) or changing its orientation. Some of the methods required in rigid transformation are: reflection, translation, rotation etc.
From the given question,
if ΔECD is first reflected over (turned about) segment AC, it would be deduced that m∠ACB ≅ m∠E'C'D' = [tex]90^{o}[/tex](right angle principle).
Then, the next process is to translate (extend) point E' to point A, so that m∠D'E'C' ≅ m∠BAC.
This would also ensure that m∠E'D'C' ≅ m∠ABC due to the translation.
This implies that ΔACB ~ ΔECD by the AA similarity postulate.
Therefore, performing reflection and translation operations on ΔECD step-wisely can be used to prove that ΔACB ~ ΔECD by the AA similarity postulate.
A sketch for more clarifications is herewith attached to this answer.
For more clarifications, visit: https://brainly.com/question/20486329
Answer:
its d, i took the test
(at the bottom of the photo it says earned 1 point meaning it right)
Related Questions
simplest form
7/15 - 1/5
Answers
Answer:
4/15
Step-by-step explanation:
7/15 - 3/15 = 4/15
Answer:
4/15
Step-by-step explanation: i did the math
what equation does this model show?
Answers
Answer:
14x-12=9x-25
Step-by-step explanation:
Since the balance is equaled, the equation would read to be 14x-12=9x-25.
Which expression is equivalent to 4k+2k?
Answers
Answer:
it equals 6k but an equivalent expression could be 2k + 4k
Step-by-step explanation:
2k + 4k = 4k + 2k
Answer:
6k
Step-by-step explanation:
You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.
~theLocoCoco
A cylinder has a diameter of 18 centimeters. The length of the curved surface is
centimeters
Answers
Answer:
180πcm²
Step-by-step explanation:
The formula for calculating curved surface area of a cylinder is
CSA=2πrh
r I the radius= 18cm/2 = 9cm
Let the height be 19cm
CSA = 2π(9)(10)
CSA = 180πcm²
Hence the length of the curved surface area is 180πcm²
Note that the height of the cylinder was assumed
It takes 2 hours to drive 100 miles, at this rate how long does it take to drive 50 miles?
Answers
Answer:
1 hour
Step-by-step explanation:
As driving 100 miles takes 2 hours, 50
hours will take 1 hour to drive.
This is because 50 is half of 100. Therefore, what is half of 2? 1!
(1+1=2)
Determine if the two triangles are congruent if they are state which congruence theorem is used
Answers
Answer:
yes through ASA association
Which inequality is a true statement?
Select each correct answer.
−5≤−7
−5>−7
−5<−7
−5=−7
−5≥−7
PLZZ HELP
Answers
Answer It's A, B, C, and F. Or 1, 2, 3, 5
Step-by-step explanation:
To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.
The temperature of a cooling cup of coffee can be modelled by the equation
T = 90(0.94)", where T represents the temperature of the coffee and n is the
number of hours since it was poured. Explian what 90 and 0.94 represent in
this equation.
Answers
Answer:
See below
Step-by-step explanation:
I assume the " is n.
90 is your initial/starting temperature, in other words when n = 0 hours, the temperature will be 90.
The 0.94 part shows the rate of exponential decay.
Find the first three terms of the sequence below.
Tn = n2 + 5n + 2
Answers
Step-by-step explanation:
T1 = 1^2 + 5(1) + 2 = 8
T2 = 2^2 + 5(2) + 2 = 16
T3 = 3^2 + 5(3) + 2 = 26
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
First three terms : 8 , 16 , 26
Step-by-step explanation:
[tex]T_{n}=n^{2}+5n + 2[/tex]
n = 1 , [tex]T_{1}=1^{2}+5*1+2=1+5+2 = 8[/tex]
n = 2 , [tex]T_{2}=2^{2}+5*2+2 = 4+10+2 = 16[/tex]
n= 3, [tex]T_{3} = 3^{2}+5*3+2=9+15+2 = 26[/tex]
could somebody help me please im dumbbb
Answers
Answer:
its parentheses, exponents, multiplication and division and addition and subtraction
Which expression is equivalent to 3(4y)
I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Well 12y is the most obvious answer.
Anything that makes 12 is good enough.
4(3y) is another answer
12(y)
1(12y)
6(2y)
2(6y
A chef needs to increase the temperature of a food dish. She thinks she can do this by stacking another dish on top of it. She has three dishes to choose from for the top dish: A, B, and C.
Which one of these dishes would make the food dish the warmest when placed on top of it? As part of your answer, explain how the energy and temperature of both the top dish and the food dish will change when the food dish warms up, and why.
Answers
Answer:
This question is incomplete
Step-by-step explanation:
Answer:
I may not know the answer but from what I. seeing we taking the same test TwT
Imothy evaluated the expression using x = 3 and y = –4. xy-2 3x2y−4 1. (1 3 )x−1y2 2. (1 3 )3−1(−4)2 3. (1 3 )(1 31 )(−4)2 4. (1 3 )(1 3 )(−16) 5. −16 9 Analyze Timothy's steps. Is he correct? If not, why not? Yes, he is correct. No, he needed to add the exponents when he simplified the powers of the same base. No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction. No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Answers
Answer:
No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Step-by-step explanation:
The expression is not well written. The expression is written as;
(xy^-2)/(3x²y^-4)
According to indices;
a^m ÷ a^n = a^{m-n}
Applying this to solve the question
1/3(x^{1-2})/(y^-2÷y^-4)
= 1/3(x^{-1})(y^{-2+4})
= 1/3(1/x)y²
= 1/(3x) × y²
Substituting x = 3 and y = -4
= 1/3(1/3)×(-4)²
= 1/9(16)
= 16/9
Imothy solution is incorrect.
According to Imothy solution, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Answer:
Step-by-step explanation:
Enter in standard form (10 points)
Answers
Answer: sorry i just need points TWT
a rock climber begins climbing at the altitude of 120 meters. she climbs at a rate of 25 meters per hour. which equation could be used to find the altitude of the rock climber, y, after x hours?
Answers
Answer:
The answer is y=25x+120.
Answer:
y
Step-by-step explanation:
HELP!!! this is due today and i’m super dumb :( pls help me the help will be very much appreciated.
Answers
Answer:
Side length: 28
Area: 784
Step-by-step explanation:
Pythagorean
Hope This helps
Answer:
Side lengths of the square are 10 units. The area of the square is 100 units squared
Step-by-step explanation:
Use the Pythagorean theorem to find the hypotenuse of the right triangles. The lengths of the hypotenuses is the same as the side lengths of the square. Since it's a square all the sides are congruent(same length) To find the area of the square multiply the base times the height(10x10) because it's a square the area is squared. Therefore, the area is 100 units squared.
plz help to find a
u will get 20 points
Answers
a=30
Hope this helps:)
9. Select the value below that is between 0.5 and 0.65. *
0.055
3/4
6%
5/9
Answers
Answer:
0.5<
Step-by-step explanation:
5/10<5+65/10+100<65/100
=5/10<5+65/10+100<65/100
=1/2<1+13/2+20<13/20
=1/2<14/22<
Judith's family went on a cross-country trip. They drove exactly 232 miles a day for 12 days. How many miles did they drive?
696 miles
2,824
2,884
2,784 miles
Answers
Answer:
2,784 miles
Step-by-step explanation:
232*12=2,784
If the spinner lands on green 10 times out of 60 spins, which statement is true?
The spinner lands on green 5 more times than expected.
The spinner lands on green 5 less times than expected.
The spinner lands on green 2 more times than expected
The spinner lands on green 2 less times than expected.
Answers
Answer: The spinner lands on green 5 less times than expected.
Step-by-step explanation:
Assuming the spinner has 4 colors, the chance of it landing on green will be 25%.
If there are 60 spins, the expected number of times it should land on green is;
= 60 * 25%
= 15 times
It only landed on green 10 times which is 5 less times than expected.
Which statement is correct about the product of 423 and 78?
A. Because 78 is less than 1, the product of 423 and 78 is less than 423.
B. Because 78 is greater than 1, the product of 423 and 78 is less than 423.
C. Because 78 is less than 1, the product of 423 and 78 is greater than 423.
D. Because 78 is greater than 1, the product of 423 and 78 is greater than 423.
Answers
Answer:
D
Step-by-step explanation:
I hope this helped!
Answer:
d
Step-by-step explanation:
John commutes each day to work either by train or by bus. The bus pass costs 10$ plus 2$ per trip. The train costs 15$ plus 1.50$ per trip what is the most number John can make before the bus costs more than the train?
A) 9 trips
B) 15 trips
C) 11 trips
D) 13 trips
Answers
Answer:
a
Step-by-step explanation:
i plugged in each of the numbers to the equation
at 9 trips the bus costs 28 and train cost 25.5
It cost Mr. Stu $315 for himself and 6 friends to have dinner. How much did it cost per person?
$52.50 per person
$45 per person
$23 per person
$63 per person
Answers
Answer:45
Step-by-step explanation:
The supply curve for a local business can be modeled by q(x) = x2 – 4x + 4, where x is the price of the item in dollars and q(x) is the number of items produced at that price. Use the graph to complete the statements.
There are
items produced at a price of $2, because the
is at (2, 0).
The number of items produced decreases when the price increases from
dollars.
Answers
Answer:
1: A: 0
2: B: x-intercept
3: A: 0 to 2
Step-by-step explanation:
I just did the assignment on EDGEN and it's 200% correct!
Also, heart and rate if you found this answer helpful! :) (P.S it makes me feel good to know I helped someone today:) )
The answers that complete the statements are a) zero, b) x - intercept, c) 0 to 2 are the correct statements.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
A local business can be modeled as function q(x) = [tex]x^2 - 4x + 4[/tex]
x is the price of the item in dollars and
q(x) is the number of items produced at that price.
The graph below shows the function q(x).
From the graph, there are zero items produced at a price of $2, because the x-intercept is at (2, 0).
The number of items produced decreases when the price increases from 0 to 2 dollars.
Hence we can conclude that the answers that complete the statements are a) zero, b) x - intercept, c) 0 to 2 are the correct statements.
Learn more about graph of a function here
https://brainly.com/question/2275360
#SPJ3
Brian bought two shirts for $14.50 each and a pair for shoes for $29.99.the sales tax was 6%.how much did Brian spend?
Answers
Answer:
Brian spent 62.5294 $.
Step-by-step explanation:
The cost of two shirts = [tex]2\times \:14.5=29[/tex] $
The cost of 1 pair of shoes = [tex]1\times 29.99\:[/tex] = [tex]29.99[/tex] $
Adding the calculated costs = [tex]29+29.99=58.99[/tex] $Tax calculation:
[tex]\frac{6}{100}\times \:58.99=3.5394[/tex] $Now, adding calculated costs and tax calculation:
58.99$ + 3.5394$ = 62.5294 $
Therefore, Brian spent 62.5294 $.
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
A: -30
B: -4
C: 4
D: 30
(No shown work is needed)
Answers
Answer:
C: 4
Step-by-step explanation:
when a positive and negative number are multiplied you will get a negative number.
So,
4-7= -3
-3x3= -9
Therefore, your answer is C: 4. Hope this helps! :)
Can someone help me out ? ASAP
Answers
Answer:
Reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
the triangle reflected across x axis
a) 120 =(120:60)* = 2*
b) 240 (240:60)* = 4
4480 = (480: 60* = 8
d) 600 (600:601 - 10
Answers
Answer:
60
Step-by-step explanation:
what am i supposed to answer frl
Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time. How long does it take to screen-print a batch of 143 shirts? Write and solve an equation to find the answer.
Answers
Answer:
So the equation and solution will be:
Total time taken = 3 × number of shirts + 19.87 min (setup time)
= 3 × 143 + 19.87
[tex]=429+19.87[/tex]
[tex]=448.87[/tex]
Step-by-step explanation:
From the question statement, it is clear that
screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time.we have to determine how long does it take to screen-print a batch of 143 shirts.
so the equation and solution will be:
Total time taken = 3 × number of shirts + 19.87 min (setup time)
= 3 × 143 + 19.87
[tex]=429+19.87[/tex]
[tex]=448.87[/tex] min
(9 + 33 – 6 ) ÷ 6 – 3 to the power of 2
Answers
Answer:
Step-by-step explanation:
9+33-6)/6-3
42-6)/6-3
36/6-3
6-3
3 to the second power is 9
because three times three is 9
Answer:
9
Step-by-step explanation:
Do the numbers inside of the parenthesis first because of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction). Then, you will get 36. Divide this by 6, the next step using PEMDAS. You will get 6. Now finally, subtract 3. Now you have 3. Now, what is 3 to the power of 2? Well simply multiply 3 by itself. You have the answer of 9 at this point.
Hope this helps! Please mark this as the brainliest!