Mathematics College

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

Given C Is The Midpoint Of BD.Prove: AACB AACDReasonsStatements1. C Is The Midpoint Of BD1. GivenA2.

Answers

Answer 1

Answer:definition of midpoint, angle BCA is congruent to angle DCA

Given C Is The Midpoint Of BD.Prove: AACB AACDReasonsStatements1. C Is The Midpoint Of BD1. GivenA2.
Answer 2

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 :

https://brainly.com/question/26131452

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Related Questions

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:

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}

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:

Solve for n: n+516=−1n+516=−1

Answers

Answer:

n=-517

n+516=-1

subtract 516

29 + 15x = -x - 3. Simplified

Answers

for this equation the answer is x= -2

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

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.

Heeeeellpppp
x^5 + 6x + 11x + 6 = 0

Answers

Answer:

The answer for x is

x=0.35262048

identiy why trade improved during the middleages.
this is the question.

Answers

Answer:

intermarriage

Step-by-step explanation:

people from different part intermarried

Answer:

dont know

Step-by-step explanation:

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

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

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

HELP!!! Parallel Line Proofs

Answers

They add to 180 when you connect the two lines

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

IF UR GOOD AT PRECALC PLEASE HELP

Answers

Answer:

Answer is C, u can find this just by looking at domain

The answer is C hope this helps

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!

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

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

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

Find the measure of angle b.
4)
36°
what do you guys think

Answers

Answer: 54°
It’s a 90° angle so you just subtract whatever it is from 90

a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP

Answers

the answer would be ≈43.7

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.

8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew

Answers

Answer:

$17.80

Step-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

helpppp it’s my friends birthday

Answers

-2(13/20)
there you go

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

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.

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

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 :)

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! :)

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

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