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
rusak2 [61]
4 years ago
7

If AB=2(x+1) BC=3x+1 and AC=4(x+2) then find the value for x,AB,BC and AC

Mathematics
1 answer:
taurus [48]4 years ago
7 0

Givens

AB + BC = AC

AB = 2(x + 1)

BC = 3x + 1

AC = 4(x + 2)

Substitute and Solve

AB + BC = AC

2(x + 1) + 3x + 1 = 4(x + 2)     Remove the brackets on the left

2x + 2 + 3x + 1 = 4(x + 2)      Collect the like terms on the left

5x + 3  = 4(x + 2)                  Remove the brackets on the right.

5x + 3 = 4x + 8                     Subtract 4x from both sides.

5x - 4x + 3 = 8            

x + 3 = 8                               Subtract 3 from both sides

x =8 - 3

x = 5

Answers

AB=2(5 + 1) = 2 * 6 = 12

BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16

AC = 4(5 + 2) = 4*7 = 28


You might be interested in
<img src="https://tex.z-dn.net/?f=4%E2%88%9216%C3%B74%2B4%C2%B2" id="TexFormula1" title="4&minus;16&divide;4+4&sup2;" alt="4&min
neonofarm [45]

Answer:

16

Step-by-step explanation:

4−16÷4+4² \\  \\  = 4 -  \frac{16}{4}  + 16 \\  \\  = 4 - 4 + 16 \\  \\  = 16

8 0
3 years ago
Tom's toy box is shown below. The toy box is shaped like a rectangular prism: It has 5 wooden faces and is open on the top.
bazaltina [42]

Answer:

O C 900 square inches

5 0
3 years ago
The cost of going to a drive-in movie theater is $5. 50 per person plus $2. 75 per car. Use the dropdown menu to create an algeb
Pie

The algebraic equation which shows that the number of <em>x </em>people can go to the drive-in with one car for $19. 25 is,

5.50x+2.75=19.25

<h3>How to write algebraic equation?</h3>

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

The cost of going to a drive-in movie theater is $5.50 per person plus $2.75 per car. It has to create an algebraic equation that shows how many people can go to the drive-in with one car for $19. 25.

Suppose the total number of people in the car for drive-in movie theater is <em>x</em>. Thus, the cost of the<em> </em><em>x</em> person to watch the movie is,

C=5.50x

As the cost of one car is $2.75. Thus, the total cost of watching a movie by x person will be,

C=5.50x+2.75

Now, the total cost, drive-in with one car for $19. 25. This cost must be equal to the above expression for total cost. Therefore,

C=5.50x+2.75=19.25

Hence, the algebraic equation which shows that the number of <em>x </em>people can go to the drive-in with one car for $19. 25 is,

5.50x+2.75=19.25

Learn more about the algebraic expression here;

brainly.com/question/2164351

7 0
2 years ago
By the Interior Angles Theorem, if Angle A is 25° and Angle B is greater than 51° but less than 57°, what are the possible measu
Karo-lina-s [1.5K]
So, if you add 25 and 52 you get 75. All angles of a triangle need to add up to 180. the angle c will be around 105 degrees i assume 
4 0
3 years ago
An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A)
erik [133]

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

                      18-20                  Not 18-20           Total

Male                0.23                    0.35                 0.58

Female            0.16                     0.26                0.42

Total                0.39                    0.61                   1

P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)

P(female or between 18-20) =  0.42+0.39-0.16

P(female or between 18-20) = 0.65

Hence, our required probability is 0.65.

3 0
3 years ago
Other questions:
  • PLEASE HELP ASAP 30 POINTS.
    14·2 answers
  • Marilyn and Tiara went for jogging every day. They increased the number of minutes of jogging every week as described below: Mar
    15·1 answer
  • What is the exponential regression equation for the data set x 3,4,7,11,12,16,19 y .3,.5,.9,1.2,1.7,1.7,1.9
    7·2 answers
  • Write an expression that represents the statement " the product of 6 and the sum of 3 times a number n and 5"
    6·1 answer
  • If Mike uses a 3 to 1 ratio of beef to pork how much pork will he use with a total of 3 pounds?
    5·1 answer
  • Which expression is w\equivalent to ???<br> HELP PLEASE <br> A<br> B<br> C<br> D
    5·1 answer
  • Please please help me out
    9·1 answer
  • Eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    11·1 answer
  • What is the measure of AC?
    7·1 answer
  • L.C.M <br> 5=<br> 12= <br>explain??​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!