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]
3 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]3 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
A car travels 80 miles on 5 gallons of gas. How many gallons of gas
dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

80x = 560

Answer:

x = 7

Hope This Helps :)

5 0
3 years ago
50 PTS! NEED HELP NOW!
nordsb [41]

Answer:

maybe its just me but I cant see it :( blurry

Step-by-step explanation:

4 0
2 years ago
Lateral area of cylinder with r=4 h=5​
yulyashka [42]

Answer:

formula: 2πrh

Step-by-step explanation:

2πrh= 2×π×4×5≈125.66371

3 0
2 years ago
QUESTION ON PIC TY!!!
Degger [83]

Answer:

Step-by-step explanation:

Multiply each number times 2 and then subtract from 29

3: 23

4: 21

5: 19

6: 17

3 0
2 years ago
Estimate the temperature at which the rate of chirping is 130 per minute
Andrej [43]

Answer:

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • If the arc on a particular circle has an arc length of 12 inches, and the circumference of the circle is 48 inches, what is the
    13·2 answers
  • Is 50.1 repeating a rational or irrational number?
    12·1 answer
  • What are 2 equilateral triangles?
    11·1 answer
  • The moon is 240,000 miles from earth . what is the order of magnitude of this number
    14·1 answer
  • Determine the total value of the investment given the principal, simple interest rate, and time.
    6·1 answer
  • Jada has 450 cards how many packages of 100 cards can Jada make​
    11·1 answer
  • Write an equation to represent the following statement. 60 is 5 times as great as k
    15·2 answers
  • Three ratios equal to 8/10
    10·1 answer
  • Determine whether x=1 and y=10 is a solution to the equations
    8·1 answer
  • Suppose g(x)=f(x-3)-4. which statement best compares the graph of g(x) with the graph of f(x)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!