For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14

For Each Question, Draw A Figure. Label The Information On The Figure. Write An Equation That Solves

Answers

Answer 1

Answer:

See attachment for the figures drawn for each question.

10. x = 3; AB = 11

11. x = 2; AB = 6

Step-by-step explanation:

10. AC = 10x + 2

AB = 2x + 5

BC = 4x + 9

AB + BC = AC (segment addition postulate)

(2x + 5) + (4x + 9) = 10x + 2 (substitution)

The equation above is what we would use to solve the problem as follows:

2x + 5 + 4x + 9 = 10x + 2

Combine like terms

6x + 14 = 10x + 2

6x - 10x = -14 + 2

-4x = -12

Divide both sides by -4

x = 3

AB = 2x + 5

Plug in the value of x

AB = 2(3) + 5 = 6 + 5

AB = 11

11. AB = 3x

BC = x - 6

AC = 8x - 14

AB + BC = AC (segment addition theorem)

3x + (x - 6) = 8x - 14 (substitution)

Use the equation to solve for x as follows:

3x + x - 6 = 8x - 14

Collect like terms

4x - 6 = 8x - 14

4x - 8x = 6 - 14

-4x = -8

x = 2 (dividing both sides by -4)

AB = 3x

AB = 3(2)

AB = 6

For Each Question, Draw A Figure. Label The Information On The Figure. Write An Equation That Solves

Related Questions

pls help me i dont understand.

Answers

Answer:

- 2.2× (-2) ÷ (-1/4)×5

- 2.2× (-2) × (-4) ×5

4.4 × (-20)

-88

Step-by-step explanation:

Answer:

Step-by-step explanation:

For fraction division, multiply with the reciprocal of the fraction.

Reciprocal of (-1/4) = -4/1

-22 * (=2) ÷  (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]

                                   [tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]

What is the slope for this?

Answers

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

Answer:

b. 1/2

Step-by-step explanation:

Points: (7, -2), (3, -4)

slope = (y2 - y1)/(x2 - x1)

slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2

Find the difference
16-(-4)
i need help ASAP

Answers

the answer is 20!
you need to change the subtraction sign to an addition sign and change -4 to a 4. then, solve!
hope this helps!!

What is the value of C-F​

Answers

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.

7. f(3)+g(4) 8. g(3)+f(4)

Answers

Answer:

First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.

Step-by-step explanation:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(  

g

f

​  

)(x)=  

g(x)

f(x)

​  

 

= \small{\dfrac{3x+2}{4-5x}}=  

4−5x

3x+2

​  

 

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(  

g

f

​  

)(x)=  

4−5x

3x+2

Simplify 7x^2 + 3 - 5(x^2-4)

Answers

Answer:

2x^2 + 23

Step-by-step explanation:

For this problem, we will simply combine like terms after using the distributive property:

7x^2 + 3 - 5(x^2 - 4)

= 7x^2 + 3 - 5x^2 + 20

= 7x^2 - 5x^2 + 3 + 20

= 2x^2 + 23

Cheers.

Answer:

2x^2 + 23

Step-by-step explanation:

The third option

Rewrite in simplest radical form! Show your work.

Answers

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

[tex]x^{-2} = \frac{1}{x^{2} }[/tex]

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2

Need some help on this

Answers

I believe you would subtract 64 from 180 (since it’s the measurement of the straight line) that would leave you with 116. From there you would divide that by 2 since it’s split in 1/2 which would leave you with 58. Therefore, the answer is x=58

Which function describes the table of values?

Answers

Answer:

C. f(x)=3x-1

eg. f(2)=3(2)-1 = 5

An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?

Answers

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

Calculating overtime pay

Answers

Answer:

Hourly pay rate x 1.5 x hours worked overtime.

Step-by-step explanation:

For example, if you had an hourly wage of $10, you would first:

Start with the $10 owed. Then:

Multiply your hourly pay by 1.5 to get $15.

Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.

An equation to help you solve this could look something like this:

Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.

Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?

Answers

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

Can you answer this question please

Answers

The answer is y=34

Explanation:

Choose all the number sentences that have a sum less than 345,195: A) 189,753 + 155,655 B) 324,675 + 19,285 C) 185,476 + 155,923 D) 97,560 + 246,894 E) 313,489 + 32,450

Answers

Answer:

C, D

Step-by-step explanation:

Calculate the sum of all.

C and D have less then 345,195.

That is the answer.

The expression that has a sum of less than 345,195 are B, C, and D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To calculate the number of sentences that have a sum of less than 345,195. The expression is needed to be simplified as shown below.

A) 189,753 + 155,655 = 345,408

B) 324,675 + 19,285 = 343,960

C) 185,476 + 155,923 = 341,399

D) 97,560 + 246,894 = 344,454

E) 313,489 + 32,450 = 345,939

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Jan completes 50 trials of pulling colored socks out of a box. She pulled green 10
times. If there are 40 socks in the box, how many of them are probably green? *

Answers

Answer:12

Step-by-step explanation:

Indentify the segment bisector of RS

Answers

Answer: line k is the segment bisector and the distance between RS is 34

If a = 2 b=-3 then find the value of 2a - 4b?

Answers

Given:

a=2b=-3

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

y−5=3(y−3) [tex]y−5=3(y−3)[/tex]

Answers

Steps to solve:

y - 5 = 3(y - 3)

~Distribute right side

y - 5 = 3y - 9

~Add 5 to both sides

y = 3y - 4

~Subtract 3y to both sides

-2y = -4

~Divide -2 to both sides

y = 2

Best of Luck!

Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316

Answers

Answer: B. $112 = $16 x

Hope this helps!

what is the answer to -9 x (-9) x (-9)

Answers

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]

[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {-9*-9=81}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {81*-9=}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox {-729}[/tex]

[tex]\text {Best of Luck!}[/tex]

PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL

Answers

15+70+45=130 :)) that’s how u calculate the perimeter just add them all together.

what is the area of a circle. Using 3.14 for. A circle with diameter of 8.4 ft.
Round to the nearest tenth if necessary
[tex]\pi[/tex]

Answers

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate

Answers

Answer:

the unit rate is 1/4 every 4 ounces

Step-by-step explanation:

12/3=4          3/3=1 so 1/4 of a cup every 4 ounces.

Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality

Answers

Answer:

         addition property of equality

Step-by-step explanation:

Adding the same number to both sides of equation doesn't change the equality.

¹/₉ + t    =   7

+(-¹/₉)        +(-¹/₉)

   t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉

addition property of equality

You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?

Answers

Answer:

43.20

Step-by-step explanation:

First find the tip

36 * 20 %

36 * .2

7.20

Then add the tip to the amount of the meal

36+7.20

43.20

You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.

[tex]20\%[/tex] of the total meal.

So, First we need to find the tip by multiplying the percentage with the cost of meal

Tip:

[tex]20\% \: of \: 36[/tex]

[tex] \frac{20}{100} \times 36[/tex]

[tex] \frac{1}{5} \times 36[/tex]

[tex]7.2[/tex]

Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:

[tex]36 + 7.2[/tex]

[tex] \boxed{ 43.2}[/tex]

This is our required answer.

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

How do you solve this math problem?

5 = 12 + 4

Answers

It’s called a “false equation” bc their is no way to solve it. 16 does NOT equal 5.
you add 12 to 4 to get 16 and then you discover that this is not an equation because the left and right side of the equals sign are not the same

If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x

Answers

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?

Answers

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

Give the absolute value of expression |-12.1|

Answers

Answer:

12.1

Step-by-step explanation:

its just how many spaces away from 0 it will never be a negetive #

A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?

Answers

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

Other Questions
By treating savings as an ___ it guarantees that you will save the money instead of spending it Which of these sets of ordered pairs below does not represent a function?{(1, 1) (2, 2) (3, 3) (4,4) (5,5)}{(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}{(0, 0) (2, 3) (3,6) (2.9) (6, 12}}{(1,5) (2, 4) (3, 3) (4,2) (5, 1)] the product of two numbers is 12 Solve each literal equation for the given variable y=x+12;x How many elements in oxygen gas? PLEASE ANSWER! What is the mass in grams of each of the following samples? 1.505 mol of Ti 0.337 mol of Na A mineral water bottle is 3/4 full and Denise drank 80% of the water. Find the percentage of water left in the bottle. Which historical period began with the invention of the steam engine? Billy has a bag of 30 marbles must choose only six marbles to bring for show and tell what is the size of the sample space in this experiment Max goes to the gym every fourth day. Ellens exercise routine is to go every third day. Today is monday and both Max and Ellen are at the gym. What will the day of the week be the next time they are BOTH at the gym?A. SundayB. WednesdayC. FridayD. Saturday Where is 95 located on a number line? 6[12-(5+2)]+6(4|-6|) Read the excerpt from Votes for Women, a speech by Mark Twain from 1901.As for this city's government, I don't want to say much, except that it is a shame a shame; but if I should live twenty-five years longer and there is no reason why I shouldn't I think I'll see women handle the ballot.Which quotation correctly uses ellipsis to shorten Twains words?As for this city's government, I don't want to say much, except that it is a shame . . . a shame; but if I should live twenty-five years longer and there is no reason why I shouldn't . . . I think I'll see women handle the ballot. As for this city's government, I don't want to say much, except that it is a shame a shame; but if I should live twenty-five years longer . . . I shouldn't I think I'll see women handle the ballot. As for this city's government, I don't want to say much, except that it is a shame a shame; but if I should live twenty-five years longer and there is no reason why I shouldn't . . . .As for this city's government, I don't want to say much, except that it is a shame a shame; but if I should live twenty-five years longer . . . I think I'll see women handle the ballot. What is the maximum cold-holding temperature allowed for sliced fruit? Which are monomials?CHECK ALL THAT APPLY. -7 a x + y 1/x 24r^2st^3ab/5bx What is an equivalent fraction for 0.625 Alexa ran 22.5 miles less than Anthony last week. She ran a totalof 16.2 miles. How many miles did Anthony run? Help me out Solve for x: -6A. 5B. -5C. -5>x>10S.5>x>-10 what is the acceleration of the object in the graph? -0.8 m/s^21.25 m/s^2-1.25 m/s^2-0.4 m/s^2 What does prosper mean