Given: Point C is the midpoint of AB¯¯¯¯¯.

AC=7x−10; CB=3x+10

Prove: AC=25



Drag and drop reasons into the boxes to correctly complete the proof.



Statement Reason
Point C is the midpoint of AB¯¯¯¯¯. Given
AC=7x−10; CB=3x+10 Given
AC=CB Definition of midpoint
7x−10=3x+10 Response area
4x−10=10 Response area
4x=20 Addition Property of Equality
x=5 Response area
AC=7(5)−10 Substitution Property of Equality
AC=35−10 Simplify.
AC=25 Simplify.

Answers

Answer 1

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x   = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)


Related Questions

What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?

Answers

Step-by-step explanation:

the answer of this question is 5.39

Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.

Answers

Answer:

E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487

Step-by-step explanation:

Given that :

Test statistic, t = 1.064

P-value = 0.0487

Hypothesis : To test if grazing cows eat more grass than grazing horses

The null hypothesis will be :

H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).

Alternative hypothesis ; H1 : μ1 > μ2

The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.

Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487

If the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Test statistics, t = 1.064

P-value = 0.0487

The null hypothesis will be

H₀: μ₁ = μ₂ (There is no difference in the mean number of grass eaten by cows and horses)

An alternative hypothesis will be

Hₐ: μ₁ > μ₂

The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.

Therefore, if the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4

Answers

Answer:

hope it helps

Step-by-step explanation:

¿De qué manera influye la ética en el hombre a partir de su función crítica? Explique.

Answers

Answer:

La ética es una rama de la filosofía que se ocupa de la reflexión crítica sobre las acciones de los hombres. En un sentido general, la ética busca establecer los criterios para juzgar si una acción puede calificarse de correcta o incorrecta, y para evaluar los motivos y consecuencias de dicha acción. Las cuestiones éticas también juegan un papel importante en la política, los negocios y la medicina, y en campos de la ciencia y el estudio como la historia, la biología y la sociología, la ética de la profesión es ocasionalmente un tema de discusión.

Así, la ética implica una evaluación de las acciones de las personas, calificándolas como correctas o incorrectas a los ojos de la sociedad. De esta manera, influye en la forma en que las personas realizan o dejan de realizar una determinada acción, ya que estas consideran sus consecuencias positivas o negativas al momento de realizarla.  

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?

QUICK ASAP PLS

Answers

Answer:

Step-by-step explanation:

66

if you help i will say thank you​

Answers

Answer:

C

Step-by-step explanation:

(5,-4)

Answer:

C

Step-by-step explanation:

(5,-4) by using elimination method

Write the rational number as a decimal. 7 over 40

Answers

Answer:

0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.

Answer: 0.175

Step-by-step explanation:

given tu ij find the length of hj

Answers

that doesnt make sense

Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).

Answers

So if they gained 15,632 from going to swamp town, ang get 15,795 from getting lunch, they drove 163 miles, and add the 52 miles to get there, they drove 215 miles after getting lunch. So jn total, they drove 15,847

solve x : 3 (x-1) +7= 4x +2 -3 (2-x)

Answers

Answer:

Step-by-step explanation:

x=2

remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2

Submit For

Score

Which term best describes the savings account that Isabel has set up, given its purpose?

Select the correct answer.

es

Comments

O emergency fund

O mutual fund

Orainy-day fund

sinking fund

Answers

Answer:

Emergency Fund

Step-by-step explanation:

Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.

can someone help me with this please?

Answers

Answer:

3x+6

Step-by-step explanation:

Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified

Q1)
Find each portion when you share $12 in the ratio:
1:2

Answers

Answer:

Step-by-step explanation:

1+2 = 3

12/3 = 4

so for the "1" you get 4

for the "2" you get 8

Simplify (x-y-5) (x-2)

Answers

x^2 - 7x - xy + 2y +10

You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily

Answers

Answer:

$8800 might be wrong on that not sure

Solve equation by using the quadratic formula.
[x^{2} + 4x = -4

a. x = -2

b. x = -4

c. x = -4, x = 4

d. x = 0, x = 4

Answers

ANSWER IS C because I looked it up

In a orchestra , 10% the musicians play brass instruments. 15% play woodwin and, %5 play percussion .The other 28 musicians olay stringed insturments.

how many musicians are in the orchestra altogther? ​

Answers

Ok so basically 100% is the total amount of like percentage. It stand for 1 . But since you have 3 different percentages, you would use 100% instead.
Firstly, add up the percentages:
10%+15%+28% ( don’t worry about the percentage sign)
= 53% that would be the percentage of the musicians+Woodwind+percussion

28 other play stringed instruments, what you do is u want to change 53%to a normal number , so 53% is out of 100 , so 53/100x100= 53 , and 53+28= 81.

—There are 81 musicians altogether .

Given that f (x) = x^2 - 5x and g (x) x + 4

Answers

1) (x-2)^2
2)-4x(x+5)

pls mark as brainliest:))

Find the perimeter of the following shape:

Answers

If you are trying to find the perimeter then just add all the sides so 10+10+7+7=34

But if it's for the area then its supposed to be A=hb/2 which is height times base divided by 2. For the area I did the math which is in the image

need help on these math questions. please and thank u

Answers

9514 1404 393

Answer:

  a) x = -3

  b) y = (28/27)x -27

Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

  x = constant

For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...

  x = -3

__

b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...

  m = -1/(-27/28) = 28/27

Using the point-slope equation for a line, we can model Ace Rd as ...

  y -y1 = m(x -x1)

  y -1 = (28/27)(x -27)

  y = (28/27)x -27

X-8-3X-10
Use distributive property

Answers

Answer:

5x-10

Step-by-step explanation:

8x-3x-10

first you subtract 3from 8 and get 5 just add the x so your left with 10

Answer:

-2(x+9)

Step-by-step explanation:

x-8-3x-10

-4x-18

-2(x+9)

Hope it helps you

Complete the following statements.

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains  quarts of milk.

The milk jug contains  liters of milk.

Answers

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!

Answers

Answer:

8

Step-by-step explanation:

so my school uses the method called kcf (keep change flip)

keep the 4

change the division sign to a multiplication sign

flip 1/2 to 2/1

4x2=8

Answer:

8 i first said two but used a caculater and found out it was 8

Step-by-step explanation:

Write the decimal as a percent.
3.68=%

Answers

Answer:

Step-by-step explanation:3.68 = 368%

guys please help me it's Find the area of the polygon

Answers

For the first figure, draw a vertical line from the upper right corner to the base. Then you can see that the figure is a combination of two shapes: A rectangle that is 8 high and 6 wide, and a right triangle that has altitude of 8 and base of 4.

Area of rectangle = 8*6 = 48
Area of triangle = (1/2)*8*4 = 16
Total area = 48+16 = 64 square units
:::::
The second figure is a parallelogram with equal sides. Note that if you cut off the triangular area and attach it to the top of the figure, you get a rectangle, so the area is 15 times 16 = 24 units.

The piecewise function h(x) is shown on the graph.
What is the value of h(3)?

Answers

Answer:

In the given graph h(x)

When x=3, h(3)=1

1 is the right answer.

what is the constant proportionality of $0.59 per pound​

Answers

Answer:

The constant of proportionality is just 0.59

4. What is the volume of a rectangular prism that has the following
dimensions?
Length - 5 inches
Width - 7.5 inches
Height - 12 inches

Answers

Answer:

450cm3 or 450 cube cm.

Step-by-step explanation:

Formula = Length x Width x Height

So,

5 x 7.5 x 12 = 450cm3

Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?

Answers

Answer:

71,266 peaches

Step-by-step explanation:

paul=5482

peter=5482*4=21,928

sam=21928*2=43,856

5482+21,928+43,856=71,266

I’m pretty sure All together they picked around 49338 peaches together

What is 1 2/3 x 1 1/4 ????

Answers

Answer:

2 1/12 B)

Step-by-step explanation:

Other Questions
It is a collection or set of units orentities from whom we got the data. universevariablepopulationsample The process of combining the parts of a lipid together is called: Tom and his friend Huck were painting a fence. After 1.25 hours, they noticed that they had only painted 3/4 of the fence. What is the rate per hour at which they are painting the fence? Tom and Huck are painting the fence at a rate of___ of the fence per hour. What is the chemical formula for sodium sulfate Compute 292,000 divide 100 Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week (5 school days). What is the cost of each snack? Write and solve an equation to model the situation. SHOW EVERY STEP. These mechanoreceptors would be activated if your little brother poked you in the arm while you were trying to nap. What is the slope of a line with the cords (-3,2) (-1,-1) How many atoms are there in 3.3 moles of strontium? Please help!!Does the amount energy from food eaten by each organism equal the amount of energy used but each organism? How did the climate of the South, as opposed to the North, contribute to the widespread use of slavery?The topography of the South was similar to the conditions in Africa.B)The climate of the North was too cold for the slave population to thrive.Tobacco, cotton, and rice could be grown in the temperate climate of theSouth.D)It was too hot in the South for factory work, so agriculture was the primaryactivity Can you please answer this !!PLEASE HELP!!!!!! x=___ The beakers in the picture above are labeled according to the ionic solutions they contain. What metal or metals could replace copper in the copper(II) nitrate solution? What is the charge of an electron?A-negative B-neutral C-positiveD-none of these what is the radius if the circumference is 1.0 which of the following is export item from Nepal?a. cementb. cashew nutsc. pashminad. palm oil Any permanent change in a gene is called a Whats the decimal as a persent Which statement is false?A. Every rational number is also an integer.B. No rational number is irrational.C. Every integer is also a rational number.D. Every irrational number is also real.