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

40 points on the line please answer I have 4 minutes left!!!

Write the product, and then write the expression in standard form by removing parentheses and combining like terms. Justify each step.


A. The multiplicative inverse of 1/5 and (2x - 1/5)

Please help!!!

Answers

Step-by-step explanation:

please see it my steps to work this problem

tell me your opinions on the following image

Answers

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

A shop keeper purchased 200 bulbs for Rs.10 each. However 5 bulbs were fused and had to
be thrown away. The remaining were sold at Rs.12 each. Find the gain or loss %

Answers

Answer: 17%

Step-by-step explanation:

A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:

= 200 × 10

= 2000

Since 5 bulbs were fused and had to

be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:

= 195 × 12

= 2340

Gain would be:

= 2340 - 2000

= 340

Gain percent would be:

= Gain / Cost price × 100

= 340/2000 × 100

= 17%

Is 5+x equal to 8+0.75x

Answers

Answer:

1.2

Step-by-step explanation:

X×5=0.75

X=(6, 5)

x=1.2

Answer:

no

Step-by-step explanation:

5+x=8+0.75x

x=12

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

I’d appreciate an answer ;)

Answers

Answer: Hope you have a good day or night!

Step-by-step explanation:

What is 56/5 simplest form???

Answers

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer.​

Answers

Answer:

240 days

Step-by-step explanation:

Create an equation where x represents the total number of days

Use the information that 40 days is 1/6 of the total:

40 = 1/6x

Now, solve for x:

40 = 1/6x

Multiply both sides by 6, since it is the reciprocal of 1/6

40 = 1/6x

240 = x

So, the total number of days he has to record data is 240 days.

Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?
a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)

Answers

The answer is the letter D

Answer:

D

Step-by-step explanation:

D is also equivalent

could u plz help me with this
x/5=3 and x/2=8.5​

Answers

Answer:

15 and 17

Step-by-step explanation:

x/5=3

x= 15   15/5 is 3

x/2=8.5

x=17   17/2 is 8.5

what is the answer?????????????????????????????????????

Answers

Answer:

A

Step-by-step explanation:

HURRYYYYY!!!
If f(x) = |x + 7| find f(-12).

Answers

The answer is 5. |-12+7| =|-5|=5

PLEASE HELP DUE IN 6 MINS!!!!!!!!!!!!!!!!!!!!!
Box of nails: $3.80

Box of screws:$5.25

Claw Hammer:$12.95

Electric Drill:$42.50


a.Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.


b.What is the total cost of the items purchased?

Answers

Answer:

Step-by-step explanation:

a. 3n+2s+2h+1x=42.50

b. 90.3

Simplify: 1/2 (24q -1)

Answers

Answer:

12q -1/2

Step-by-step explanation:

Answer:

12q -1/2

Step-by-step explanation:

if g(x) = 8x -20, find g(-4)

Answers

Answer:

g(-4)= -52

Step-by-step explanation:

g(x) = 8x -20

Substitute -4 for x

g(-4) = 8(-4) -20

g(-4) = -52

Order the following numbers from least to greatest (15 Pts)

Answers

Answer:

-5.1 , -14/3, -4

Step-by-step explanation:

In the negative side of the numberline -5 is lesser than -14/3 and -4.

Also -14/3 is aproximatedly -4. 6. so its less than -4

Answer:

1. -5.1

2. - 14/3

3. -4

Explanation:

- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.

Hope this helps!

I hope I explained well!

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answers

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

(0.2a + 0.15b) = 100.5a - b = 30

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

(0.2a + 0.15b) = 100.5 - - - - - (1)

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

a - b = 30 - - - - - (2)

The system of equations required to determine the amount of drink A and B made are :

(0.2a + 0.15b) = 100.5a - b = 30

Learn more : https://brainly.com/question/20379472?referrer=searchResults

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.

Answers

Answer:

A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

Step-by-step explanation:

Required

Determine which system of equation satisfy (-4,2)

To do this, we simply substitute -4 for x and 2 for y in the given functions.

A.

[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

[tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

[tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

[tex]-24 + 22 = -2[/tex]

[tex]-2 = -2[/tex]

The above shows that the given linear combination has a solution of (-4,2).

Hence, this option answers the question and there is no need to check other options

Answer: the answer is A

Step-by-step explanation:

What is the area of the triangle?

48 in 2
28 in 2
96 in 2
24 in 2

Answers

Answer:

48 in^2

Step-by-step explanation:

To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.

Answer:

48 in2

Step-by-step explanation:

when finding area we use the equation A= 1/2bh

b meaning base and h meaning height

so for this we would use A= 1/2(24)(4)

multiply them both to get A=1/2(96)

and then take half of 96 to get 48

so the answer is 48in 2

Question 3 HELPPPPPPPPPPPPPPPP

Answers

Answer

The following is a picture of the number with a point on -2

Which is greater: 6/30 or 12/40

Answers

Answer:

12/40

Step-by-step explanation:

match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30

6/30(40/40) = 240/1200

12/40(30/30) = 360/1200

As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger

Answer: [tex]\frac{12}{40}[/tex]

Step-by-step explanation:

Hey there!

-If we were to simplify [tex]\frac{6}{30}[/tex] we would be able to simplify it to [tex]\frac{1}{5}[/tex].

-Multiply [tex]\frac{6}{30}[/tex] by 100 and you get 20 .

-Now compare that with [tex]\frac{3}{10}[/tex] which is [tex]\frac{12}{40}[/tex] simplified.

-Multiply [tex]\frac{12}{40}[/tex] by 100 and you get 30.

-We can now tell that [tex]\frac{12}{40}[/tex] is greater than [tex]\frac{6}{30}[/tex].

~I hope I helped :)~

3n +15 for n =4
what is the answer​

Answers

Answer:

the correct answer would be 27

Step-by-step explanation:

So first things first you need to replace n with 4

3n+15

(3)(4)+15

=12+15

=27

Hope this helps have an amazing day!!

Answer: 27

Step-by-step explanation:

-We would need to substitute the value of the variable into the equation and simplify.

-We will be plugging in 4 for n.

Step 1: Plugging in.

3 * 4 = 12

Step 2: Addition.

12 + 15

Final Answer: 27

Which equation represents a linear function? (5 points)

Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1

Answers

Answer :

y = 3x + 1

Explanation:
Answer: 2 - y =3x + 1

If 4 raffle tickets is 6 dollars how much is 1 raffle ticket

Answers

4/6 = 1/x cross multiple so x= 1.5 dollars

Given h(x) = 3x + 4, find h(-1).

Answers

Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1

The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function  h(x) = 3x + 4

If we want to calculate the value of the function at a certain point then we need to keep that point in the function.

So,

Value of function at = -1 will be

h (-1) = 3(-1) + 4

h(-1) = 1

Hence "  The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1".

For more about the function,

brainly.com/question/23712366

#SPJ5

A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was .

Answers

Answer:

$1.25

Step-by-step explanation:

step 1:

2.32 x 32

answer:

74.24

step 2:

114.24 - 74.24

answer:

40

step 3:

40 divided by 32

FINAL answer:

40 divided by 32 = x

x =

1.25

--------------

the original cost was $1.25! :D

what is the meaning of life

Answers

Answer:

The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"

Step-by-step explanation:

Answer:

Step-by-step explanation:

The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"

Given the table on the right, what is the slope?

Answers

Answer:

hi

Step-by-step explanation:

In the system of equations, b is a constant. If the system has infinitely many solutions, what is the value of b?

Answers

Answer:

The value of b is 9.5

Step-by-step explanation:

If a system of equations has infinitely  many solutions, that means the two equations are equal

If the system of equations ax + by = c, dx + ey = f, then

a = d ⇒ coefficients of xb = e ⇒ coefficients of yc = f ⇒ numerical terms

Let us use this fact to solve the question

3x - y = 19 ⇒ (1)

1.5x - 0.5 y = b ⇒ (2)

∵ This system of equations has infinitely many solutions

∴ The coefficients of x must be equal

∴ The coefficients of y must be equal

∴ The numerical terms must be equal

→ Multiply equation (2) by 2 to make the coefficients of x and y on it

  equal the coefficients of x and y in equation (1)

∵ 2(1.5x) - 2(0.5y) = 2(b)

3x - y = 2b ⇒ (3)

→ By comparing equations (1) and (3), 19 must equal 2b

∵ 2b = 19

→ Divide both sides by 2

b = 9.5

The value of b is 9.5

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential growth function. ​b) Estimate the population of the city in 2018. ​c) When will the population of the city be ​8 million? ​d) Find the doubling time. ​a) The exponential growth function is ​P(t) nothing​, where t is in terms of the number of years since 2012 and​ P(t) is the population in millions. ​(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the​ equation.)

Answers

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

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