1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
3 years ago
5

B is the midpoint of AC. If Ab= x +5 and BC = 2x-11, find the measure of Ab.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

__________________________

Measurement of "AC" :

(x + 5) + (2x <span>− 11) ;
________________________

Find the measurement of "AB" [which is: "(x+5)" ]: 
______________________________________________
First, simplify to find the measurement of "AC" :
________________________________________
 </span>(x + 5) + (2x − 11) ;

=  (x + 5) + 1(2x − 11) ;

=   x + 5 + 2x − 11 ;

 → Combine the "like terms" ; 

   x + 2x = 3x ;
   
   5 − 11 = - 6 ;
______________
to get:  3x − 6 ; 
_______________
So,  (x + 5) + (2x − 11) =  3x − 6 ;
_______________________________
Solve for:  "(x + 5)"
_______________________________

We have: 
_______________________________

(x + 5) + (2x − 11) =  3x − 6  ;

Subtract:  "(2x − 11)" ;  from EACH SIDE of the equation ;
                                      to isolate "(x + 5)" on one side of the equation; 
                                      and to solve for "(x + 5)" ;
________________________________________________________
    →  (x + 5) + (2x − 11) − (2x − 11) =  (3x − 6) − (2x − 11) ;
  
         → (x + 5)  = (3x − 6) − (2x − 11) ;
_________________________________________________
  Note:  Simplify:  "(3x − 6) − (2x − 11)" ;

     →  (3x − 6) − (2x − 11)  ;
 
         =  (3x − 6) − 1(2x − 11) ;
 
         =   3x − 6 − 2x + 11 ;
__________________________
   →  Combine the "like terms" :
_____________________________
         +3x − 2x = 1x = x ;
  
          -6 + 11 = 5 ; 
_____________________________
To get:  x + 5 ; 

So we have:
______________________________
 x + 5 = x + 5 ; 
______________________________

So, x = all real numbers.

x = <span>ℝ </span>
You might be interested in
A bakery sells bagels at two different rates. When a customer buys fewer than 12 bagels, each one costs $1.25. When a customer b
Sav [38]

Answer:

1.25b when b < 12 , 1b & then 0.75 b when b <u>> </u>12

Step-by-step explanation:

  • Price for b bagels = Price x Quantity

* Less than 12 bagels bought, cost $1.25 per bagel

So, price for b bagels, when (b < 12) = 1.25b

* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel

So, price for b bagels, when (b = 12) = b

So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12

8 0
3 years ago
Multiply and simplify<br><br><img src="https://tex.z-dn.net/?f=35%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B10%7D%20" id="TexFormula1" ti
Kobotan [32]

We can convert 7/10 to a decimal first.

7/10 = 0.7

Now we can multiply this problem easier.

35 x 0.7 = 24.5

6 0
3 years ago
If x = y and y=z which statement is true?
dybincka [34]
The x=y
Is this the the test of the question?
3 0
3 years ago
Read 2 more answers
Mrs. Carter has 4 boxes of colored chalk. There are 30 pieces of chalk in each box.
Tasya [4]

Answer:

120

Step-by-step explanation:

30 x 4 = 120

4 0
3 years ago
Which equation is true when the value of x is 3.5?
MAVERICK [17]
G

•••••••••••••••••••••
7 0
3 years ago
Read 2 more answers
Other questions:
  • Ellen bought 3 greeting cards for $3 each.
    8·1 answer
  • According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are enrolled in day care. what is the probabi
    8·1 answer
  • Express as a fraction in simplest form: 60 to 12.​
    13·2 answers
  • One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?A. 22°F
    5·2 answers
  • How do you sove 673 times 86?
    5·1 answer
  • How to write 19,000+400+1+60=
    14·1 answer
  • What are the zeros of the polynomial function
    7·1 answer
  • Sarah used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below:
    12·2 answers
  • Justin uses 2/3 of a gallon of paint to cover 1/12 of his bedroom wall. How much paint is needed to cover the entire wall
    12·1 answer
  • 26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy wei
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!