In the accompanying diagram of a parallelogram ABCD ,DC= 5x-18, BC=3x-6, AB=2x+12 find measure BC. Please help

BC = 39

Step-by-step explanation:

Given:

DC = 5x - 18,

BC = 3x - 6,

AB = 2x + 12

Opposite sides of a parallelogram are equal.

Therefore:

AB = DC

2x + 12 = 5x - 18

Collect like terms

12 + 18 = 5x - 3x

30 = 2x

Divide both sides by 2

15 = x

x = 15

BC = 3x - 6

Plug in the value of x

BC = 3(15) - 6 = 45 - 6

BC = 39

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.