Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answers
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
To learn more about congruent triangles click :
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Related Questions
Solve: C - 20 = 4 - 3c
Need to solve for C
C=___
Answers
Answer:
C = 6
Step-by-step explanation:
Here are steps
C - 20 = 4 - 3C
C + 3C = 4 + 20
4C = 24
C = 6
identiy why trade improved during the middleages.
this is the question.
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Answer:
intermarriage
Step-by-step explanation:
people from different part intermarried
Answer:
dont know
Step-by-step explanation:
find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answers
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution
Answers
Answer:
one solution
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answers
Answer:
D
Step-by-step explanation:
100% true
Answer:
It is D
Step-by-step explanation:
A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?
A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour
Answers
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000
Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.
Hoped this helped!
Find the measure of angle b.
4)
36°
what do you guys think
Answers
It’s a 90° angle so you just subtract whatever it is from 90
what is the rate and unit rate of 13 inches of snow in 7 hours
Answers
Answer:
1 6/7 inches of snow in 1 hour
Step-by-step explanation:
13 divided by 7 is 1 6/7
Simplify x^-5
please please I need it please please please please please please
Answers
Answer:
[tex]1/x^5[/tex]
Step-by-step explanation:
[tex]x^-^y = 1/x^y[/tex]
Answer:
1/x^5
Step-by-step explanation:
When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5
Answer: 1/x^5
a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP
Answers
Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
Answers
Answer:
The answer is
A ) 12 to 20
Step-by-step explanation:
Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answers
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
Answers
Answer:
5.6864
Step-by-step explanation:
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.
Answers
Answer:
30 laps
Step-by-step explanation:
Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps
A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)
Answers
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]
Recall that:
The area of the rectangle = L×w
[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]
[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]
Taking the differentiation of both sides with respect to t; we have:
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]
Then; we set A'(w) to be equal to zero;
So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :
[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
hELLPPLPLP PLEASEE answer 1-3 and please show the work on how to get it
Answers
Answer:
Step-by-step explanation:
Milk consumed in 4 weeks = 20 jugs
Milk consumed in 1 week = 20 ÷ 4 = 5 jugs
Milk consumed in 8 weeks = 5 * 8 = 40 jugs
2) Cost of 20 sets of crayons = $ 60
Cost of 1 set of crayon = 60 ÷ 20 = $ 3
Cost of 9 sets of crayons = 3 * 9 = $ 27
3) Number of tomatoes required to make soup for two guest = 4
Number of tomatoes required to make soup for one guest = 4 ÷ 2 = 2
Number of tomatoes required to make soup for 6 guests= 2*6= 12 tomatoes
Solve for n: n+516=−1n+516=−1
Answers
Answer:
n=-517
n+516=-1
subtract 516
Whoever answers this gets brainlist!
Answers
Answer: 5^5.
Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.
8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answers
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
Solve for x
2x+5 = 32
Answers
Answer:
x=13.5
Step-by-step explanation:
Perform the same operation on each side:
2x+5 = 32
2x = 27
x = 13.5
So, x is 13.5
29 + 15x = -x - 3. Simplified
Answers
what is 2+2 my brain has been in circles about this
Answers
Answer:
hey welcome to Brainly, and 2 + 2 = 4
Step-by-step explanation:
2+2=4
3+3=6
4+4=8
5+5=10
and so on just keep adding 2
helpppp it’s my friends birthday
Answers
there you go
please
help i’ve been stuck on
this all day
Answers
Answer:
CPB
Step-by-step explanation:
acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees
Answer: The answer is CPB
Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answers
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
Heeeeellpppp
x^5 + 6x + 11x + 6 = 0
Answers
Answer:
The answer for x is
x=0.35262048
IF UR GOOD AT PRECALC PLEASE HELP
Answers
Answer:
Answer is C, u can find this just by looking at domain
538 = ? hundred + ? tens + ? ones
What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens
Answers
Answer:
500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.
Step-by-step explanation:
500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.
HELP!!! Parallel Line Proofs
Answers
The employee e-mail accounts in one company are using a mean of 1.071.071, point, 07 gigabytes of memory with a standard deviation of 0.210.210, point, 21 gigabytes.
Answers
Answer:
Mean: 1096 megabytes
Standard deviation: 215 megabytes
Step-by-step explanation:
I got the answer on Khan Academy
