In the figure, AB || DC and AD || BC. To prove that AB = CD, one must first show that
AABC-ACDA.
Which theorem or postulate can be used to justify AABC - ACDA?
Answers
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, obtuse, acute and right angled triangles.
Two triangles are said to be congruent if all the corresponding sides and angles of both triangles are equal. Congruent triangles have the same size and shape.
Given that AB || DC and AD || BC, therefore:
∠DCA = ∠BAC (alternate angles are equal)
∠DAC = ∠BCA (alternate angles are equal)
AC ≈ AC
Therefore from triangle ABC and triangle CDA, since ∠DCA = ∠BAC, ∠DAC = ∠BCA and AC ≈ AC, hence both triangles are congruent by Ange-side-angle congruence theorem.
Therefore AB = CD
Answer:
the answer is AB is equal to CD
Step-by-step explanation:
Related Questions
The list price of a furnace is $2,468.00. The manufacturer offers a discount of 15 percent. The net price is
$2,097.80.
$370.20.
$209.78.
$3,702.00.
Answers
Answer:2,097.80
Step-by-step explanation: If you multiply the 2,468.00 to 0.85% you will get the answer of 2,097.80.
Answer:
$2,097.80
Step-by-step explanation:
$2,468.00 - 15%
$2,468.00 * 0.15 = $370.20
$2,468.00 - $370.20 = $2,097.80
(Just another way to do it)
find the rational number between-5/6 and -3/8
help me
Answers
Answer:
-2/5
-4/9
Step-by-step explanation:
-5/6 = -0.83333 (three's keep repeating)
-3/8 = -0.375
the above are both rational because they result in a repeating or terminating decimal
There are an infinite number of rational numbers between the two listed above but here are some:
-2/5 = -0.40 (terminates)
-4/9 = -0.4444444 (fours keep repeating)
-1/2 = -0.50 (terminates)
-3/4 = -0.75 (terminates)
plz plz help me for math
Answers
Answer:
Oasis idiot and a good time in the day before
Need explanation for this question please
Answers
please help in this........
Answers
Helloo!
I founded same type of question from Brainly! People who have been written this solving questions. Also search and check for this question on Brainly!! Or my advice to download course hero because there is so many subjects that you can work on it.
Solve the equation. Then check your solution. – two-fifths + a = One-fifth a. Three-fifths c. StartFraction 3 Over 10 EndFraction b. Negative one-fifth d. Negative three-fifths Please select the best answer from the choices provided A B C D
Answers
Answer:
A . a = 3/5
Step-by-step explanation:
- 2/5 + a = 1/5
Add 2/5 to each side
-2/5 + a + 2/5 = 1/5 + 2/5
a = 3/5
Therefore a = 3/5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Can anyone help ? I’m bad at math
Answers
Answer:
Step-by-step explanation:
First you need the third angle (C).
<C + 89 + 45 = 180 All triangles = 180 degrees. Combine the left terms.
<C + 134 = 180 Subtract 134 from both sides
<C = 180 - 134
<C = 46
Next, Let BA = x
x/Sin(46) = 15/Sin(89)
x = 15*sin(46) / Sin(89)
Sin(46) = 0.7193
Sin(89) = 0.9998
x = 0.7193 * 15 / 0.9998
x = 10.7911
Note
When you are studying this material, you should note 2 things.
The first is that you are dealing with 2 ratios that are equal to each other.The second is, the side is always opposite the angle in the triangle. The two are connect. Side c = 15. It is opposite the 89o angle.The train is travelling with the speed of 90km/hr. What is the distance covered in 2min?
Answers
We are given:
Speed of the train = 90 km/h
Converting the speed to km per minute:
[tex]90\frac{km}{h}* \frac{h}{60 min}[/tex] [since 1 hour = 60 minutes, h/60 minutes is equal to 1]
The 'h' in numerator and denominator will cancel out
90km / 60 min
1.5 km/min
Distance travelled in 2 minutes:
Distance = Speed * time
Distance = [tex]1.5\frac{km}{min}* 2 min[/tex]
Distance = 3 km
sunita has to ribbons of lengths 25 inches and 35 inches he want to cut the Ribbon into strips of equal length what is the longest possible length for the strips
Answers
Answer:
5 cm
Step-by-step explanation:
Find the area of the trapezoid 12in 11in 8in???
HELP ME PLEASE!!!
Answers
Answer:
formula: A= a+b/2 times height
So 12+8=20/2=10x11=110
Step-by-step explanation:
GIVEN THAT AD = 5 and BC = 24, what is the radius of circle A?
Answers
Answer:
12
Step-by-step explanation:
B to C looks like your diameter so half of 24 is 12.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $11.50. The auditorium can hold at most 81 people. The drama club must make at least $760 from ticket sales to cover the show's costs. If 43 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Answers
Answer:
the closest I found was 79
Step-by-step explanation:
8×43=344
760-344=416
416÷11.5=36.173
36+43=79
Determine the y-intercept of the following equation. help pls
Answers
Answer:
0,8
Step-by-step explanation:
(-x-2)(x-4)=y
To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.
(-0-2)(0-4)=y
(-2)(-4)=8
y=8
0,8
find the x intercept of 3x²-5x-28=f(x)
Answers
Answer:
x+ 4, -7/3
Step-by-step explanation:
10) A 15% tip is left on a $72.25 dinner bill. How
much is the tip? Round to the nearest hundredth
Answers
Find the number of unique permutations of the letters in each word.
5) CORRIDOR
6) NUMBER
Answers
Answer:
Ur Answer is 5 one CORRIDOR
The number of unique permutations of the letters CORRIDOR is 3360
The number of unique permutations of the letters NUMBER is 720
What is Permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items in a certain order.
[tex]\frac{n!}{mA!mB!......mZ!}[/tex]
In the given word
CORRIDOR
There are 7 letters in which "O" repeats 2 times and "R" repeats 3 times.
Then n = 7 , A = 2 and B = 3
Put values in above formula
Then,
= [tex]\frac{7!}{2!3!}[/tex]
= [tex]\frac{7\times6\times5\times4\times3\times2\times1}{2\times3\times2}[/tex]
= 3360
Similarly
NUMBER
There are 6 letters in which no letter repeats
means A = B = .......= Z = 1
Put values in above equation
= [tex]6![/tex]
= 720
Hence,
The number of unique permutations of the letters CORRIDOR is 3360.
The number of unique permutations of the letters NUMBER is 720.
Learn more about permutation:
https://brainly.com/question/121616
#SPJ2
What is the answer to this?
Answers
Answer:
Area = 1514 m^2
Step-by-step explanation:
Total Area = area of rectangle + area of circle
= (60 m × 20 m) + πr^2
= (1200 m^2) + (3.14)(10 m)^2
= (1200 m^2) + (314 m^2)
= 1514 m^2
Help!! It's question 14
Answers
Answer:
200/120 = 5/3
5/3 x 3 = 5 oz
you can also do it this way:
3/120 = x/200
x = 600/120 = 5
A boy has a weekend job advertising an upcoming play. He has 2 options for being paid. Option A is an hourly wage of $7.00. Option B is a 5% commission on all money made at the play she plans to work 8 hours each day on Saturday and Sunday. He estimates the play will make about $2,100 this weekend. Which option gives him more earnings this weekend?
Answers
Answer:
He would be paid more if he took the hourly wage//option A
Step-by-step explanation: hope this helps<3
Which of the expressions below is equal to 24/18? Select all that apply.Which of the expressions below is equal to 2418? Select all that apply.
Answers
Answer:
A, B, D
Step-by-step explanation:
Given that :
24 / 18 = 4 / 3 = 1.333
Comparing the options solutions for the options given :
3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333
4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333
5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18
8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333
Hence, expressions which are equal are :
A, B and D
Please help me with this!!!!!!!!!!!!!!! MATHHHHHH
Answers
Find the sum of the series please
Answers
Answer:
12
Step-by-step explanation:
This is considered a geometric series.
a = 4
r = 2/3
[tex]Sum = \frac{a}{1-r}[/tex]
[tex]Sum = \frac{4}{1-\frac{2}{3} } =12[/tex]
Which expression represents the following?
Add 450 to 348, and then multiply by 7.
Answers
Answer:
(450 + 348) · 7
equals 5586
Step-by-step explanation:
find the answer of 450 and 348, then multiply the answer by 7
Answer:
(450 + 348) x 7
Step-by-step explanation:
1. a box contains 11 pink 8 blues and 9 orange marbles. If you pick two marbles without looking , what is the probability that the first will be orange and the second will be pink?
2. You accidentally dropped a coin from the top of 10 stairs. What is the probability that it will land heads up on the seventh step?
Answers
2. the probability is about 47%
. If Shawn rides his bike ¾ mile every ½ hour, how many miles does he bike per hour?
Answers
Answer:
1 1/2 mile or 6/4 mile
Step-by-step explanation:
Every half hour he rides 3/4
Just multiply 3/4 by 2 which equals 6/4 or 1 1/2
is this a polygon or not a polygon
Answers
This is not a polygon as it has a section (at the bottom) which is composed of non-straight segments.
A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing that: She plans to drive 125 miles. She has at most $230 to spend. Write and solve an inequality which can be used to determine xx, the number of days Jaya can afford to rent while staying within her budget.
Answers
Answer:
Jaya can afford to rent a car 4 days while staying within her budget.
Step-by-step explanation:
The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:
53.75x+0.12y≤230, where:
x is the number of days the car is rented
y is the number of miles driven
As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:
53.75x+0.12(125)≤230
53.75x+15≤230
53.75x≤230-15
53.75x≤215
x≤215/53.75
x≤4
According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.
Take(10 2+7−3)from(4 2−9+12)
Answers
Answer: -13
How to: Simplify the expression.
Answer:
0 is less than 2 is equal to 2
0/
1
< 2/
1
= 2/
1
There are two precalculus sections at a high school. Mr. Abel's class has 14 girls and 8 boys, while Mr. Bonitz's class has 12 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answers
Answer:
14/46
Step-by-step explanation:
12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.
Answers
Answer:
tangent 59° = Tree height / 45 feet
Tree Height = 1.6643 * 45
Tree Height = 74.8935 Feet
Step-by-step explanation: