Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE​

Given:AB || DEC Is The Midpoint Of BDProve:C Is The Midpoint Of AE

Answers

Answer 1

Answer:

Step-by-step explanation:

Given: AB║DE and C is the midpoint of BD.

To prove: C is the midpoint of A

                   Statements                       Reasons

1). AB║DE                                   1). Given

2). BC ≅ CD                               2). Point C is the midpoint of BD

3). m∠B ≅ m∠D                         3). Interior alternate angles

4). m∠ACB ≅ m∠DCE               4). Vertical angles

5). ΔABC ≅ ΔDEC                     5). ASA property of congruence

6). AC ≅ EC                               6). ΔABC ≅ ΔDEC

7). AC = [tex]\frac{1}{2}(\text{AE})[/tex]                            7). AC ≅ EC


Related Questions

Under the Objective Theory of Contacts, the Reasonable Person Select one: a. May determine the existence of a contract if there is a dispute. b. May determine the terms of a contract if there is a dispute. c. Both of the above. d. Neither of the above.

Answers

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth . Help please because it says 209.22 is not the answer

Answers

Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2

I NEAD HELP ASAP The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax. (50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55 (50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60 (60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66 (60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72

Answers

Answer:

Step-by-step explanation:

multiply 52 times 90% +52

Answer:

Option B is the correct answer.

Explanation:

The image below is the correct answer.

F(x)=x^2 What is g(x)?

Answers

Answer:

answer is D

Step-by-step explanation:

potatoes are 50p a pound . how much for 24oz​

Answers

Answer:

25p

Step-by-step explanation:

IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!

Answer:

Hi...

The correct ans is 25 p

Hope this helps.....

Pls mark my ans as brainliest....

Sry dude the calculations r longggggggggggg

Be sure to mark my ans as brainliest

Which ordered pair is a solution of the equation y=2x+5

A. (3,11)
B. (2,7)
C. (1,6)

Answers

Answer:

A(3,11)

Step-by-step explanation:

[tex]y = 2x + 5[/tex]

[tex]2×3 = 6[/tex]

[tex]6 + 5 = 11[/tex]

A is the Answer (3,11)

Please help quickly I don’t understand

Answers

The answer is 22

Do you need an explanation?

Lance is tracking the progress of his plant's growth. Today the plant is
5 cm high. The plant grows 1.5 cm per day. Which equation below
represents the height of the plant (h) after d days?

Answers

Answer:

h = 5 + 1.5d

Step-by-step explanation:


Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.

Answers

i would  C because it the lights didnt bend

it went through

NUMBERS THAT ARE GONNA BE ROUNDED TO: 1/2, 1, 0

1. 1/8 + 2/5

2. 13/14 - 1/10

3. 1/12 + 1/20

Answers

Answer:

1. 1/2

2. 1

3. 0

Step-by-step explanation:

Need answers to both large and small cups plez

Answers

Answer:

4 large and 5 small

Step-by-step explanation:

$1.50×4= $6.00

$0.90×5= $4.50

$6.00+$4.50= $10.50

Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?

Answers

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

learn more about inequalities here :

https://brainly.com/question/30228778

#SPJ2

he;p me please i am losing my points please anyone can you help at least one of you please please please! :(

Answers

[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]

Need Help ASAp will give brainliest!!!

Answers

Answer:

0.05

Step-by-step explanation:

3.25 divided by 9 is 0.35 and 2.4 divided by 8 is 0.3 (0.30)

theres a 0.05 gap

if im wrong im sorry

HELPPPPP PLEASE IT'S URGENT!!!!!!

What is the volume of the composite figure? Express the

answer in terms of .


A) 1447 mm

B)1687 mm

C) 3121 mm

D) 4567 mm

Answers

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 32, - 16 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )

If you spin a spinner with 3 equal parts, how many possible outcomes are there? A. 1 B. 2 C. 3 D. 4

Answers

the answer is c. 3 possible outcomes
It’s obviously C/3 because there’s only 3 equal parts

What is the volume, in terms of π, for a cylindrical
container with a radius of 3.25 centimeters and a
height of 10 centimeters? (use the formula V
= I1r2 h)

Answers

Answer:

[tex]105.625\pi cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]

Answer in terms of [tex]\pi[/tex]

[tex]105.625\pi cm^3[/tex]

A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without

replacement? Calculate to the nearest tenth.

O 15.2 %

O 13.9%

14%

O 17.1%

Answers

Answer:

15.2%

Step-by-step explanation:

The total number of marbles in the jar is:

5 + 4 + 3 = 12 marbles

The jar contains 5 red, 4 blue, and 3 yellow marbles.

The probability of pulling a red marble is 5/12

There are now 11 marbles in the jar.

The probability of pulling a blue marble is 4/11

Therefore, the probability of pulling a red marble, then, pulling a blue marble, without  replacement is:

5/12 * 4/11 = 5/33

Converting to percentage:

5/33 * 100 = 15.2%

What is the total amount of material
needed for the entire birdhouse?

Answers

Answer:

This question is incomplete ... plz complete the question so that you may get better help.

Step-by-step explanation:

From: Brainy services

Which of the following is most likely the next step in the series Z3Y6X9W 12

Answers

Answer:

V

Step-by-step explanation:

This series is a letter, followed by a number where the letter is the previous letter in the alphabet and the number is increasing by 3

Answer:

12 V 15 U 18 T 21 S 24 R 27 Q

Step-by-step explanation:

Letters going backwards, numbers increasing by 3

f (x) = x² + 10x + 24.
Help plzz !!

Answers

Answer:

Consider the form

x

2

+

b

x

+

c

x2+bx+c

. Find a pair of integers whose product is

c

c

and whose sum is

b

b

. In this case, whose product is

24

-24

and whose sum is

10

-10

.

12

,

2

-12,2

Write the factored form using these integers.

(

x

12

)

(

x

+

2

)

(x-12)(x+2)

Answer:

[tex]f(x)=x+5x^{2} -1[/tex]

Alaine has 1 gallon of paint. She is going to pour it into
paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in?, 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in
The paint will fill the tray exactly
The paint will overfill the tray by 5.22 in?

Answers

Answer:

First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B. 

Step-by-step explanation:

Which of the following is a characteristic of hyperbolic geometry?

A. There are an infinite number of lines parallel to a given line
through a given point.

B. There is exactly one line perpendicular to a given line through a
given point.

C. There is exactly one line parallel to a given line through a given
point.

D. There are an infinite number of lines perpendicular to a given line
through a given point.

Answers

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!

Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?

Answers

Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3  because it becames 0 at 3

x^2 +3 is up 3  because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

please solve
thanks ​

Answers

Answer:

1) 250°, 2) 44°

Step-by-step explanation:

1) See attached

If we add a line ⊥ to both AB and DE, we can find x as a sum of 2 internal angles of right triangles and 180°

∠D internal = 360°-312°=48°

x=180°+(90°-62°)+(90°-48°)= 180°+28°+42°= 250°

x=250°

2)

∠ADC= ∠ABC= 180°- ∠ADE= 180°- 110°= 70°

∠DBC= ∠ABC- ∠ABD= 70°-26°= 44°

∠DBC= 44°

A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?

How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?

How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?

Answers

Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *

A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.

Answers

Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
A. 0.003
B. 0.3
C. 0.0003
D. 0.03

Answers

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

A. 0.003

To go from a percentage to a decimal, you would remove the percent sign and move the decimal two places to the left.

Pls help me it’s emergency plzz fast

Answers

Answer:

67.3%

Step-by-step explanation:

Calculate profit = selling price - cost price

cost price = 50 × $28 = $1400

38 × $49 = $1862

12 × $40 = $480

selling price = $1862 + $480 = $2342

Profit = $2342 - $1400 = $942

% profit = [tex]\frac{profit}{cost}[/tex] × 100%

             = [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )

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