- Given: C is the midpoint of AE
C is the midpoint of BD
AE = BD
=
Prove: AC = CD

Answers

Answer 1

A midpoint is a point that bisects a line into two equal parts.

Given that  C is the midpoint of AE, hence;

AC + CE = AE ........ 1

Similarly, if C is the midpoint of BD, then;

BC + CD = BD................... 2

If AE = BD, then we will equate 1 and 2 to have:

AC + CE = BC + CD

Also since CE = BC, the equation becomes

AC + CE = CE + CD

AC = CD (Proved)

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Related Questions

someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it​

Answers

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

3x - 5y = 4
-2x + 6y = 18

Answers

Answer:

From 1st eqn .,

3x=4+5y

X=4+5y/3

From 2nd eqn ..,

-2x+6y=18

-2(4+5y/3)+6y=18

-8+10y/3 +6y=18

-8+10y+18y/3=18

-8+28y/3=18

-8+28y=54

28y=54+8

y=62/28

y=31/14

Therefore the value of y is 31/14

Again,

Putting the value of y in ..

X=4+5y/3

=(4+5*31/14)/3

=(211/14)/3

=211/42

Step-by-step explanation:

So the value of X and y is 31/14 &211/42 respectively.

Plz mark me brainest .

Answer:

x=14:25;convert to whole number 14:y=7:75; convert to whole number is 7

Step-by-step explanation:

using determiner method {x=3and-2;y=5and6}=4and18; solution cross multiple 3×6-5×6=general determiner is 28; to solve for x exchange for the number for x with the number outside which is 4;18

4.Which is the best buy in the following cases. a) 4pens for Rs 56 or 6pens for Rs 90 give full step of answer​

Answers

Answer:

4 pens

Step-by-step explanation:

better value

(y^5 -3y^2 -20)/(y -2)

Use synthetic division

Answers

Answer:

The answer is y^4+2y^3+4y^2+5y+10

Step-by-step explanation:

I essentially just factored everything, as I'm certain this is right. :D

Use simple interest to find the ending balance​

Answers

Answer: 7788.50

Solving steps:
P = 7400, R = 10.5%, T = 6

F = P + P rt
P = 7400
R = 10.5%
T = 6

F = 7400 + 7400rt

7400 x (12 + 6 x 0.105/12

7400 x (12 + 0.63)/12

7400 x 12.63/12

93462/12

15577/12

15577/2 0.01
7788.50
Answer: 7788.50

Please help due in 2 hours and I’m clueless.

Identify the domain and range of each graph.


Answers

So all u have to do is say all the x values that have a point (the domain) and all the y values that have a point (the range). If it is continuous, like a line, then u say all the points between two points. For example the range of the bottom right is [-1,5]. If it goes to infinity or negative infinity, you say something like (-infinity,infinity). With the sideways 8 of course. Btw, (-infinity, infinity) is the domain of the bottom right ;D

Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost​

Answers

Step-by-step explanation:

450/180= 2.5 kilos

it is a one to one relationship

f(x)=x/180

where x is the amount given to her

Simplify the numerical expression:

(0.05)(-0.25)

A) -0.0125
B) 0.0125
C) -1.25
D) 1.25

Answers

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)

ANSWER THIS ASAP PLEASE !

Answers

Simple the answer is: n=14

2n-3=25
We can move the divided by to other side of equal sign and it now because multiply by 5.
2n=28
We add 3 to both sides of equal sign
n=14
We divide 2 to both sides of equal sign to get the variable by itself
Your answer is : n=14

Which of the following equations have infinitely many solutions?
Choose all answers that apply:

A
- 10x - 10 = -10x + 10

B
10x - 10 = -10x - 10

C
- 10x - 10 = -10x - 10

D
10x – 10 = -10x + 10

Answers

Answer:

10

Step-by-step explanation:

that is the answer because its her choice

Help help help help help help help help help

Answers

Answer:

subtract 20 from both sides

Step-by-step explanation:

1. To find the answer, let's actually try solving the equation first and find the 2nd step.

2. (Solving)

Step 1: Distribute 2 to each term.

[tex](2)(x)+(2)(10)=60[/tex] [tex]2x + 20 = 60[/tex]

Step 2: Subtract 20 from both sides.

[tex]2x + 20 - 20 = 60 - 20[/tex] [tex]2x = 40[/tex]

3. Since we got that the second step was "subtract 20 from both sides," the answer is subtract 20 from both sides.

I WILL GIVE BRAINLIEST. PLEASE ANSWER ILL GIVE A LOT OF POINTS

Answers

To graph a straight line only 2 points are required

although 3 points are better (in case of error with other 2 .)

To find the y-intercept let x = 0 : hence y = - 5 ie (0 , - 5 )

To find the x-intercept let y = 0 : hence -x - 5 = 0 so x = - 5

ie ( - 5 , 0 )

These 2 points will allow the line to be drawn but a 3rd

is preferable. Choose any value for x and evaluate y.

choose x = 2 : then y = - 2 - 5 = - 7 ie (2 , - 7 )

Plot these 3 points: (0 , - 5 ) , (- 5 , 0 ) and (2 , - 7 ) and

draw a straight line through them .

Here is the graph of y = - x - 5

graph{-x-5 [-20, 20, -10, 10]}

Answer:

Y=3x-5

Step-by-step explanation:

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer for 33 = 1, 3, 11, 33.

This is because all of those numbers divide into 33 evenly / are factors of 33.

Answer for 93 = 1, 3, 31, 93

This is because all of those numbers divide into 93 evenly / are factors of 93.

Answer:

1) composite: 1, 3 , 11 , 33

2) composite 1, 3, 31, 93

Step-by-step explanation:

1) We know that 33 is divisible by 3 because the whole value is equal to 6, and the last digit is a 3.

2) We know that 93 is divisible by 3 because the last digit was 3, and all of the place values added up to 12, which is also divisible by 3.

-kiniwih426

A lab technician has 40 gallons of a 15% iodine solution. How many

gallons of a 40% iodine solution must he add to make a 20% iodine solution?


Please show work!!

Answers

The quantity of a 40% iodine solution that must be added to 40 gallons of a 15% iodine solution to make a 20% iodine solution is: 10 gallons.

According to the question;

We are required to determine how many gallons of a 40% iodine solution must he add to make a 20% iodine solution.

Let gallons of a 40% iodine solution to be added be; x gallons.

Therefore, the total gallons of a 20% iodine solution obtained is; (40+x) gallons.

By mass balance of iodine in each solution;

(15% of 40) + (40% of x) = (20% of (40 + x))

(0.15 × 40) + 0.4x = 0.2x + 8

0.2x = 2

x = 10 gallons.

In essence; 10 gallons of a 40% iodine solution must be added to make a 20% iodine solution.

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If y=6 when x=2 over 3 find x when y=12

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.

(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).

Hope this helped :)

SHOW WORK FOR CREDIT.

4. −10(x − 3)

A) −15x + 30
B) −10x + 30
C) −15x + 35
D) −15x + 37

Answers

Answer:

B) -10x + 30

Step-by-step explanation:

You have to multiply -10*x and -10*-3. -10*x equals -10x and -10*-3 is +30.

Answer:

[tex]\sf -10x+30[/tex]

Step-by-step explanation:

[tex]\sf -10(x - 3)\\-10x-\left(-10\right)\times \:3\\-10x+30[/tex]

3x - 5y = 4, -2x + 6y = 18 (system of equations)

Answers

Answer:

(x, y) = (57/4, 31/4)

Step-by-step explanation:

-2x + 6y = 18

-2x = 18 - 6y

x = -9 + 3y

3(-9 + 3y) - 5y = 4

-27 + 9y - 5y = 4

4y = 31

y = 31/4

x = -9 + 3(31/4) = 57/4

Answer:

Step-by-step explanation:

-5y=4-3x

y=(4/-5)-(3/-5x)

2x+6y=18

6y=18-2x

y=18/6-(2/6x)

y=y

(4/-5)-(3/-5x)=18/6-(2/6x)

0.93x=3.8

x=3.8/0.93

x=4.09

sub 4.09 for the 3x-5y=4

which will give you y=1.65

sub 4.09 for -2x+6y=18

which will give you y=4.36

1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.

i) A CFL bulb if the marked price is Rs. 280

ii) A bunion if the marked price is Rs. 650.

iii) A gas cooker if the marked price is Rs. 7500

Answers

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750

Darren made strawberry jam and raspberry jam. He made enough strawberry jam to fill 3 3/8 jars. If he made 3 5/6 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as mixed number

Answers

Answer:

Harry would have made 1 and 1/2 jars of raspberry jam

Step-by-step explanation:

Hope this helps

Raspberry jam can fill [tex]12\frac{15}{16}[/tex]  jars when the quantity of raspberry jam is [tex]3\frac{5}{6}[/tex] times as strawberry jam .

Given, that strawberry jam has filled 3 3/8 jars.

Multiplication: It is the basic mathematical operation among division, addition and subtraction.

The number of jars of strawberry jam is [tex]3\frac{3}{8}[/tex] jars.

The number of jars of raspberry jam is [tex]3\frac{5}{6}[/tex] times of the number of jars of strawberry jam.

So,

[tex]3\frac{3}{8} \times 3\frac{5}{6}[/tex]

[tex]= \frac{27}{8} \times \frac{23}{6}\\ \\= 207/16\\\\= 12\frac{15}{16}[/tex]

The number of jars of raspberry jam is [tex]12\frac{15}{16}[/tex] .

Learn more about multiplication, here:

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#SPJ3

can somebody please help me I’m begging I need help

Answers

Answer:

4.0%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100

percent change = (25475 - 24500)/(24500) * 100

percent change = 3.979...%

Answer: 4.0%

last 2 guyss !!!! tysm

Answers

First one is a rotation 90° clockwise

Second one is B. 134°

Answer:

A 90° clockwise

B 134°

Profit and loss. Help plz​

Answers

Answer:

351 minus 316 I think

Step-by-step explanation:

okay so you will do 351 minus 316 and ur answer is 35 so her profit is 35 dollars also known as 35$ I hope this helped!!

Under which angle conditions could a triangle exist? Check all that apply.

3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle under which angle conditions could a triangle exist? Check all that apply.

3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle

Answers

Answer:

The answer in short is A,B and E

Step-by-step explanation:

Answer:

3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

Step-by-step explanation:

PLEASE PLEASE PLEASEEE HELP ILL GIVE U 50 POINTS AND BRAINLIEST :D

Answers

I don’t know the answer to the second problem sorry but I hope this helps

Answer:

See below

Step-by-step explanation:

#22

Find the difference:

6.48×10⁷ - 2.15×10⁷ = (6.48 - 2.15)×10⁷ = 4.33×10⁷ people#23

Find the ratio:

2.15×10⁷ / 2.95×10⁶ = 21.5/2.95 = 7.28 people / mi²#24

Find the ratio:

1.3×10⁹ / 6.48×10⁷ = 130/6.48 = 20 times

Hello. . .

I need help please. . .

answers/w explanation. ✅

Nonsense answers, or answers that's not the question I ask for will be reported.

Answers

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

According to her running log, Ariana averaged 4 miles per week last month and 75% less this month. How much did she average this month?

Answers

Answer:

She averaged 3 miles per week this month.

Step-by-step explanation:

You just take 75% of 4 and get 3.

Name the part of AKTH.
TS is a(n) [blank].

PLEASE PLEASE HELP !!!

Answers

Answer:

I'm pretty sure that's an angle.

Step-by-step explanation:

Which system of equations has a solutions x=0,y=1?

Answers

Answer:

y+x=1

y-x=1

Step-by-step explanation:

Well If x is 0, its pretty straight forward.

1+0=1

1-0=1

lol hope this helps

Read the statement below and then select the idea that can be inferred from the statement.

Toxicity is high in cities. HELP FASSSSSSSST!!!!!

Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.

Answers

Answer: I would say 4

Step-by-step explanation:

Answer:

There are more factories in the city than in the country.

Step-by-step explanation:

Hope this helps!

the value of x - y is

Answers

Answer:

Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair

Other Questions
Can someone please help me with these answers? Ill mark you if give me the answers Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10 % 8 % 2 0.20 13 % 7 % 3 0.20 12 % 6 % 4 0.30 14 % 9 % 5 0.20 15 % 8 % The expected rates of return of stocks A and B are _____ and _____, respectively. Multiple Choice 7.7%; 13.2% 14%; 10% 13.2%; 9% 13.2%; 7.7% In 1995, the cost of tuition at a large Midwestern university was $146 per credit hour. In 2001, tuition had risen to $200 per credit hour.Determine a linear equation to represent the cost, C, of tuition as a function of x, the number of years since 1990. (Assuming the cost increases by the same amount each year.) Linear Equation:In the year 2008, tuition will be ($ )per credit hour.In the year( ) , tuition will be $317 per credit hour Which sentence most likely comes from the introduction paragraph of aninformational essay?A. William Shakespeare was born and died in Stratford-upon-Avon,but he did his important work in London.B. One reason Virginia Woolf is an interesting 20th-century author isher understanding of humanity.C. This essay will compare and contrast the ways Edgar Allan Poeand Jorge Luis Borges address the idea of madness.D. So, for all of these reasons, the works of Toni Morrison havebecome part of the literature taught in schools. he new Japanese constitution after World War II contained a clause that ! ! ! Angles ! ! !(worth ten points)Which is the best explanation of why triangles ABC and ACD are similar?A.) Both triangles are right triangles. B.) Both triangles contain angles A and C.C.) Both triangles a right angle and angle A.D.) Both triangles contain a right angle and angle C. Look at structure A Use the drop downs to answer the questions about this structure What is the name of this part of the flower What is the function of this part of the fower? A when did art become popular? and what was the painting that started it all? How did events like the English Civil War affect conditions described in theexcerpt? Correct answer will get brainiest Colby has a square placemat. The area of theplacemat is 3 square feetWhat is the exact perimeter of the placemat?Use the number pad to enter your answer in the boxThe exact perimeter isft help please 7. A man named Peter left a __________ for you at the hotel. A. message B. quiz C. leave D. phone call Jim thinks that he can throw a baseball six meters per second. What does the six meters refer to? (2 points) aThe speed the baseball travels in six seconds. bThe distance the baseball travels in one second. cThe distance the baseball travels in six seconds. dThe time it takes the baseball to travel one meter. Here is a linear equation in two variables: 2x+4y31=123 What is the missing statement in the proof? What methods do you know that can be used to solve a quadratic equation? serve(s) to increase cellular surface area.O plasma membranesO integral proteinsO microvillio intracellular fluid Classify each term in the expression 3+6ab+c as a constant term or a variable term. You want to purchase 7 Rubiks cubes for a Rubiks cube you are starting. A Rubiks cube cost $7.99 How much does it cost to buy all seven to start your Rubiks cube club ______help in increasing rates of reactions