Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
__
8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
Answer:

Step-by-step explanation:

You have to cut 15 pounds into 3.75 four times
Answer:
(a) The system of the equations
has no solution.
(b) The system of the equations
has many solutions 
Step-by-step explanation:
(a) To find the solutions of the following system of equations
you must:
Multiply
by 2:

Subtract the equations

0 = -3 is false, therefore the system of the equations has no solution.
(b) To find the solutions of the system
you must:
Isolate x for 

Substitute
into the second equation

The system has many solutions.
Isolate y for 

2(x + 3) = x - 4
distribute
2x + 6 = x - 4
either subtract 6 from both sides or add 4. i will be subtracting 6.
2x = x - 10
subtract x from both sides
x = -10