Given: m∠AEB = 45°
∠AEC is a right angle.

Prove: Ray E B bisects ∠AEC.

3 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Proof:
We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the ______________
gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.

Select a sentence to fill in the blank.

Segment addition property
angle addition postulate
reflective property
transitive property

Answers

Answer 1

Answer:

Answer is B. angle addition postulate

Step-by-step explanation:

-UvU-


Related Questions

Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.

6 x + 8 y = 133. 2 x = y.

Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.

Answers

Answer:

See below!

Step-by-step explanation:

Only the first choice is accurate.

The second choice is incorrect since it doesn't accurately represent the situation described.

The third choice is incorrect since it also doesn't accurately represent the situation described.

The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.

While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.

Answer

Only option 1 is correct

I need help with my math homework. It would mean a lot to me if someone coupd explain it. Ill type the directions. It says: Using the graphs below, write the linear equation of the line in slope intercept form (use format: no spaces, y=mx+b) ansaers and earn pixels for correct answers. Answer all 18 problems correctly to reveal the pixel art image. Here are the graphs I need to do. Please help me out if you can. I will make another question on my account so I can add more pictures of the graphs because I can only do five on here.

Answers

Ok I will definitely help you.

The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?

Answers

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

1/2x+y = 3
y = 3x + 10
Solve using substitution

Answers

Answer:

(-2,4)

x = -2 y = 4

I hope this helps

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!
Write an equation to determine the normal price of each cookie (c)
Find the normal price of each cookie.

Answers

Answer:

$1.35

Step-by-step explanation:

divide $2.80 by 7 ($0.40)then add $0.75 Which equals $1.35

Please hurry, best answer gets brainly

Answers

C = 30, B = 90

A + B + C = 180 <=>

A = 180 - B - C <=>

A = 180 - 90 - 30 <=>

A = 60

Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.

Answers

Answer:

Number of students who do not know = 24

Step-by-step explanation:

Year II students = 240

15% of the students want to go to college.

Number of year II students who wants to go to college = 15% of 240

= 15/100 × 240

= 0.15 × 240

= 36

¾ of the students want to stay at school.

Number of students who wants to stay at the school = 3/4 × 240

= (3 × 240) / 4

= 720 / 4

= 180

Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school

= 240 - 36 - 180

= 24

Number of students who do not know = 24

Could u help me !! Plz I will gave Brainliest

Answers

Answer:

1.) 120.722222206 or  120.72

2.) 650.250000382 or 650.25

Step-by-step explanation:

Peter bought 12 collectable coins for $8.00. What was the price per coin? How did you get that answer?

Answers

Answer:

Step-by-step explanation:

8.00/12= $0.60 a piece

Bridget's Café has a regular coffee decaffeinated coffee . This morning the cafe served 80 count coffee’s and all 48 which were regular what percentage of a coffee were regular

Answers

9514 1404 393

Answer:

  60%

Step-by-step explanation:

Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...

  48/80 × 100% = 60%

60% of the 80 coffees served were regular.

Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?

Answers

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

Determine which situation could be represented by the system of linear equations given below

Answers

The answer is
56x-(23y)^9/3 = 42

find the x in the given triangle, step by step explanation please ​

Answers

Answer:

x = 42.67

Step-by-step explanation:

x + 2x + 7 + 45 = (3 - 2) * 180

3x + 52 = 180

   - 52       - 52

3x = 128

/ 3    / 3

x = 42.67

Every triangle is equal to 180 so add 45 and the other number then subtract from 180 to get x

A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?

Answers

Answer:

45 mph

Step-by-step explanation:

3/4x60=45

Which statement best represents the distance on a number line between -14 and -5?

Answers

Answer:

C my dude. have a merry christmassss

Answer:

A

Step-by-step explanation:

Both are negative, and largest is always first.

HELP ME PLEASE!!!
Martha states that –6 is a rational number. Which is a correct explanation for this statement?

The number –6 is the opposite of 6.

The number –6 is a negative integer.

The number –6 can be written as -6/1.

The number –6 is less than 0.

Answers

answer c, but then again i did this a while ago and my memory is cooky

Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)

Answers

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.

Answers

Given:

Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."

To find:

The derivative [tex]\dfrac{dy}{dx}[/tex].

Solution:

Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]

Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

We have,

[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]

Using chain rule and quotient rule, we get

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]

Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].

Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable

Answers

Answer:

Yes it is.

Step-by-step explanation:

Best way is to use percentages you know when estimating.

We know 50% is half.

50% of 242 is 121.

So it has to be more than 121.

10% of 242 is 24.2  so add that to 121 and you get 145.2

You are 60% so far. You just need 9% more.

Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.

Please help me with this question I need the answer

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

First of all A and B are Letters not numbers...

Answer: a-b

Step-by-step explanation:

7: (page 311) Triangle DEF has vertices D(1,2), E(1,6), and F(4,2). What are the coordinates of
the orthocenter of Triangle DEF?

Answers

Answer:

u

Step-by-step explanation:

Please help will mark as brilliant<3

Answers

The slope is -2 and the equation is y= -2x + 1

Which function represents the sequence -5.5, -4.75 -4,-3.25... ?​

Answers

The answer I think should be
C main

exposed clout chaser

Answers

That’s interesting I would say
I’ve seen a few of these.

Construct a difference table to predict the next term of the sequence.
1, 8, 18, 31, 47, 66, . . .

Answers

Answer:

88

Step-by-step explanation:

8-1=7

    +3

18-8=10

       +3

31-18=13

        +3

47-31=16

          +3

66-47 = 19

             +3

x - 66 = 22

  +66   +66

x= 88

-6m - 1 = -31

m = ___

please show work

Answers

ANSWER:

M = 5

Step 1: Add 1 to both sides of the equal sign

-6m-1+1=31+1

-6m=-30

Step 2: Divide both sides by -6

-6m/6 = -30/-6

(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)

I need help!!!!
Answer:
A. 1.50 dollars per kilogram
B. 1.80 dollars per kilogram.
C. 2.10 dollars per kilogram
D. 2.40 dollars per
kilogram.

Answers

Answer:

The average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Step-by-step explanation:

From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.

The price of 100 kg cumin = $450

The price of 600 kg cumin = $1650

so

at x₁ = 100, f(x₁) = 450

at x₂ = 600,  f(x₂) = 1650

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [1650 - 450] / [600-100]

                      = 1200 / 500

                      = 2.4

Therefore, the average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t) = 20,000 (1.08)^t where t represents time in years and P(t) represents the elk population. What is the estimated population of elk in 6 years?

Answers

Answer:

The answer would be 31,737 elks.

Step-by-step explanation:

You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.

I hope this helps

The volume of an Amazon package is given by the function below.

8x^3+30x^2+13x−15


A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?

B. Using the volume formula, find the height of the package. (V=lwh)

Please show work

Answers

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

_____________________________________

Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]

Anna mixes purple and pink dye to create lavander. For every 8 tsp of purple dye, Anna adds 3 tsp of pink dye. Which statement about the relationship between the purple dye and pink dye is true

Answers

Answer:

8 tsp purple : 3 tsp pink

Step-by-step explanation:

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