1.) A, B and C are collinear points with coordinates -4, 2 and -7 respectively. Determine which point is between the other two.

2.) A, B and C are collinear points with AB = 5, BC = 9 and AC = 4. Which is between the other two?

3.) If the coordinates of A and B are -5 and 7 respectively and C is the midpoint of line AB, find the CA. What is the coordinate of C?

4.) In ∠ABC, ray BD is the angle bisector of ∠ABC. If the m∠ABD = 2x + 5 and m∠DBC = 5x - 10, find:
a. value of x
b. m∠ABD
c. m∠ABC​

Answers

Answer 1

The point between the other two is point A

2. The point between the other two is point A3. The coordinate of C is 14. x = 5, ABD = 15 and ABC = 30

The point between the other two.

Arranging the given points in order, we get:

C (-7) < A (-4) < B (2)

We can conclude that, the point A is between points C and B.

The point between the other two.

Since A, B, and C are collinear, we have:

BA + AC = BC

Substituting the given values, we get:

5 + 4 = 9

9 = 9 --- true

We can conclude that, the point A is between points C and B.

Midpoint of AB

Given that

A = -5

B = 7

We have

Midpoint C = (7 - 5)/2

Midpoint C = 1

The value of x and the angles

Here, we have

Bisector BD

This means that

2x + 5 = 5x - 10

Evaluate

3x = 15

x = 5

So, we have

ABD = 2(5) + 5

ABD = 15

Then, we have

ABC = 2 * 15

ABC = 30

This means that the measure of angle ABC is 30 degrees

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Related Questions

Sofia needs 8 inches of ribbon to make 1 party favor. Which of the following lengths would be enough ribbon for Sofia to make from 15 to 20 party favors? 1 inch 5 2.54 centimeters, 1 centimeter < 0.39 inch
A 61 centimeters
B 390 centimeters
C 405 centimeters
D 411 centimeters
E 490 centimeters

Answers

First, we need to determine how much ribbon Sofia needs for each party favor. Since she needs 8 inches of ribbon for one party favor, we can convert that to centimeters (since the answer choices are given in centimeters):

8 inches x 2.54 cm/inch = 20.32 cm

So Sofia needs 20.32 cm of ribbon for each party favor.

To find out how much ribbon she needs for 15 to 20 party favors, we can multiply the amount needed for one party favor (20.32 cm) by the number of party favors:

15 party favors x 20.32 cm/party favor = 304.8 cm
20 party favors x 20.32 cm/party favor = 406.4 cm

The closest answer choice to this range is C, 405 centimeters. Therefore, C is the correct answer.

Answer:

D: 411 centimeters

Step-by-step explanation:

Multiply 8 by 15 you'll get 120 inches from thisMultiply that by 2.54 to find how many centimeters it is. It would be 304.8 centimeters.Then repeat steps 1-2 but replace 15 inches with 20 inches. When you multiply it by 8 it becomes 160 and it becomes 406.4 centimeters when it's multiplied by 2.54 which is why the correct answer is D

Write two fractions with different denominators whose LCD (lowest common denominator) is 36.

give brainly

Answers

Answer: 36/36 and 6/36

Step-by-step explanation: That simple just get smarter that is all.

Deon won a charity raffle. His prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.

(a) Find the odds in favor of Deon winning a camera.

(b) Find the odds against Deon winning a camera.

Answers

Answer:

I think the answer is a if it is not then try b

Step-by-step explanation:

It will be 25% chance of deon winning a camera

{Brainliest} if correct

Use the graph below to answer the question.

Determine the scale factor used to create the image.

one half
2
one fourth
4

Answers

Answer:

The scale factor used to create the image is one-half.

!!!HELP ME I WILL GIVE 100 POINTS FOR 1 ANSWER AND A BRAINLIEST FOR ANSWERING!!!

Answers

Answer:

16

Step-by-step explanation:

It's basically the same thing as 8 x 2

For future problems like this, you just need to switch the equation symbol (Division --> Multiplication) and use the reciprocal of the fraction given to you if the equation wants you to divide.

yes it’s 16
1) keep the first #
2) change sign to division
3) flip the second # (1/22)

Please answer the question

Answers

Solution:
2x+15=3x-15
x=30

We can also conclude that each angle equals 45 degrees, and that the ray is an angle bisector.

1) what is the equation of a parabola with the given vertex and focus
vertex (1,6) focus (1,8)
2) A radio station has a broadcast area in the shape of a circle with the equation x^2+y^2=1296
find the intercepts of the graph.
state the radius in miles .
what is the area of the region in which ten broadcast from the station can be picked up?

Answers

Answer:

Step-by-step explanation:

10

What is an angle that is adjacent to CED?

Answers

The angle adjacent to CED is BEC

Answer: CEB

Step-by-step explanation:

adjacent means touching/joint vertex so CED touches CED

Balvinder had his first child on his 26th birthday, his second child exactly 4 years later, and his third child exactly 4 years after that. How old was Balvinder when his age was equal to the sum of his three children's ages?
Answer with explanation pls

Answers

Answer:

Step-by-step explanation:

Answer:34 years old

Step-by-step explanation:26+4+4=34

Which angles are complementary to DFE? Select all that apply.

Answers

Answer:

cfd

Step-by-step explanation:

complementary angles take the sum of both angles and have to add up to 90 degrees

from 22 kilograms of fresh mushrooms, 2.5 kilograms of dry mushrooms are obtained, containing 12% water. What is the percentage of water in fresh mushrooms?

(I didn’t really understand the problem’s wording, so you don’t have to give me an answer if you aren’t able to. Just an approach at it.)

Answers

Answer:114

Step-by-step explanation:

i am smart

The percentage of water in fresh mushrooms is 10 percent.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, from 22 kilograms of fresh mushrooms, 2.5 kilograms of dry mushrooms are obtained, containing 12% water.

Let x% of water in fresh mushrooms.

Here, x% of 22 = (100-12)% of 2.5

x/100 ×22 = 88% of 2.5

22x/100= 88/100 ×2.5

22x=88×2.5

x=4×2.5

x=10%

Therefore, the percentage of water in fresh mushrooms is 10 percent.

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What is the measure of N?
A) 23°
B) 25°
C) 27°
D) 45°

Answers

N+63=90
N=27°
the answer is C

Answer: C. 27

Step-by-step explanation:

Since the larger angle is a right angle, it would total to 90 degrees. Subtract 63 degrees from this number to get the value of N.

help me, please so I can get a better score

Answers

Answer:

27

Step-by-step explanation:

the sum of both of these angles would be 180

45+5x=180

5x=180-45

5x=135

x=27

So first you cut the shape into two triangles. One triangle is 180 so you would do 45+45+5x+5x=360. SP then you add up the numbers 45+45=90 then you would do the same for 5x+5x =10x. Now that you have both numbers you’re able to subtract 90 from 360 and that equals 270 now you do 270 divided by 10x and that equals 27

Write the other side of this equation so it's true for no values of x:

1/3(12x + 18) + x

Answers

To make the equation true for no values of x, we need to make sure that the left-hand side and the right-hand side are not equal for any value of x.

Let's simplify the left-hand side of the equation first:

1/3(12x + 18) + x
= 4x + 6 + x
= 5x + 6

To make this equation true for no values of x, we need to find an expression that is never equal to 5x + 6. One way to do this is to take the negative of 5x + 6:

-(5x + 6)

Now the full equation is:

1/3(12x + 18) + x = -(5x + 6)

We can simplify the left-hand side again:

1/3(12x + 18) + x
= 4x + 6 + x
= 5x + 6

And substitute it into the equation:

5x + 6 = -(5x + 6)

Simplifying this equation gives:

10x + 12 = 0

Dividing both sides by 10 gives:

x + 6/5 = 0

x = -6/5

So the original equation, 1/3(12x + 18) + x = -(5x + 6), is true for no values of x.

MASSIVE DROP 100 POINTS

Please help me I don't understand

Answers

well, for 3)

we have a cylinder with a hole in it, mind you that we don't have a height for it, so let's call our height "h".

so hmmm let's take the area of the circular rings atop and bottom, Check the picture below.  Then we'll take the lateral area of the cylinder.

now, we have a hole in the middle, a cylindrical hole, since we need the walls of that hole, that's simply just the area of the inner-cylinder.

[tex]\stackrel{ \textit{\LARGE area of the outer part} }{\stackrel{ \textit{two circular rings} }{(2)\pi (\stackrel{ R^2 }{10^2} - \stackrel{ r^2 }{5^2})}~~ + ~~\stackrel{ \textit{lateral area} }{2\pi (10)(h)}}\implies 75\pi +20\pi h \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{ \textit{\LARGE area of the inner part} }{\stackrel{ \textit{total area of inner cylinder} }{2\pi (5)(h+5)}\implies 10\pi h+50\pi} \\\\[-0.35em] ~\dotfill\\\\ (75\pi +20\pi h)~~ + ~~(10\pi h+50\pi)\implies {\Large \begin{array}{llll} 125\pi +30\pi h \end{array}}[/tex]

they other person is right!

please help me thanks

Answers

the first answer is 1.429624 × 1012

id know how to do the rest, sorry

help me ! please needs to be done today

Answers

Answer:

I believe the answer will be C, because if Claire wants a cupcake also, then it would have to be 30. After all, 29 girls, not including Claire.

Answer:

C

Step-by-step explanation:

They're 24 boys and 29 girls which she's not included in. If she wants to know how many she knew to make for here to get 1 cupcake and the rest of friends she's inviting she'll have to do 24 boys + 29 girls + plus her(1). Making it 24 + 30 = c

I have no clue and I always get these questions wrong! It would be awesome if someone can help me!

Answers

Sorry if this doesn’t help now!


The number between 67 and 113 which is a multiple of 3, 9, and 12 will be 725, and 108.


All the LCM= 36

If the number is a multiple of 36 will be also a multiple of 3, 9, and 12.36,

725 and 108

Tom is making birdhouses to sell at a farmers market each birdhouse requires 4.5 feet of wood planks to build and he sells them for $19.75 each if he has no more than 80 feet of planks to make birdhouses how much money can Tom earn at the farmers market. Show your work I know the answer but not the work.

Answers

Answer:

335.75

Step-by-step explanation:

80 / 4.5 = 17.8

19.75 * 17 = 335.75

Answer: If he has more than 80 feet of planks he can make at least 17 birdhouses, and that's $335.75

Step-by-step explanation:

80/4.5 = 17.7 (at least 17 birdhouses)

17 x 19.75 = 335.75

What is the height of the parallelogram?


5 cm


2 cm


4 cm


8 cm

Answers

The answer is 4 cm. Since 24 divide by 6 is 4
The answer is 4, Because you divide the Area by the base ex; 24 divided by 6 is 4.

Need these two done to get my final grade up! Help please! o(≧口≦)o (giving brainliest to right answers!!)

Answers

Answer:

First problem:

$2,700,000/15 sec. = $180,000/sec.

$10,800,000/60 sec. = $180,000/sec.

$16,200,000/90 sec. = $180,000/sec.

$21,600,000/120 sec. = $180,000/sec.

a) Yes, the cost of the commercials is proportional to the length of time the commercial aired.

b) y = 180,000x

Second problem:

14 = .35 × w

14 = .35w

w = 40

There were 40 questions on this Biology test.

Help me thank you so much if you do help me :D

Answers

Answer: 706.001

Step-by-step explanation:

Most logical way is if you re-arrange. If u re-arrange, you will get seven hundred and six one-thousandths. From here it's easy. seven hundred six is 706. one-thousandths is 0.001. If you add 706 and 0.001, you will get 706.001

706,001 its very simple :)

Find the measure of angle w.

w =
°

Answers

Answer:

that is racism

Step-by-step explanation:

WWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answer: W=n/a there is no picture

Step-by-step explanation:

i need help with this question.

Answers

Answer:

fourth one 8.4x17.5 equals fourth one

Answer: it’s the option on the bottom right corner.

Step-by-step explanation:

if you move the triangle part to the other side the overall width doesn’t change. As a matter of fact nothing changes except for the placement of the triangle.

Which number is divisible by 5 and 10?

Answers

Any number divisible by 10 is also divisible by five. Ex 110/10 is 11 but 110/5 is 22

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,512 from popcorn sales and $1,584 from nacho sales. If on the next night the employees sell $1,848 of popcorn, how much is earned from nachos

Answers

Answer:

$1,920

Step-by-step explanation:

$1,848 minus $1,512 equals $336

$336 plus $1,584 equals $1,920

There is your answer

$1936

Explanation:

1512. 1848
——- = ———
1584. x

Cross multiply and divide
(1848x1584)/ 1512

evaluate 3^-4 into a fraction or whole number

Answers

Answer:

[tex] \frac{1}{81} [/tex]

Step-by-step explanation:

Use the degree properties:

[tex] {3}^{ - 4} = { (\frac{1}{3})}^{4} = \frac{ {1}^{4} }{ {3}^{4} } = \frac{1}{81} [/tex]

Due today or tomorrow it’s math

Answers

Answer:

P = 10 feet

Step-by-step explanation:

I unit=2
5 units x 2 =10
Do 5x2 4 times
Add all answers 10+10+10+10
Or 10x4
40

If u help me with this question u are a topG

Answers

Answer:

37

Step-by-step explanation:

I’m not sure if this is the right way, but it should get ur answer/

Do 2 x 11 = 22 (I got 11 by add 3,4,4)

And then 5x3 which is 15

15 + 22 = 37

Answer:37 ft^2

Step-by-step explanation:

2*11=22

cuz 4+4+3

then

5*3=15

22+15= 37ft^2

2b= 5a^2-3 make a the subject

Answers

First add three to the other side. Then you’ll want to take 5 and times it by itself which equals 25. Finally divide the other side by 25 and the answer will be —> 2b-3/25=a
2b-3/25=a is the answer to this problem
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