Parellograms help please

1- KL=12

2- VU=22

3- KL=8

4-RQ=11

5- UV=20

Step-by-step explanation:

x+1=2x-10

1=x-10

x=11

x+1=12

KL=12

2+4x=5x-3

5+4x=5x

5=x

x=5

2+4(5)=22

VU=22

2x-12=x-2

2x-10=x

x=10

2(10)-12

KL=8

2x-3=x+4

x=7

2(7)-3

RQ=11

3x-1=2x+6

x=7

3(7)-1

UV=20

1. 12

Step-by-step explanation:

The solutions are rather simple than you think. Simply just set the equations on each side asked equal to each other and solve for x. I'll only solve one since I don't have much time.

1. KL is parallel to JM, therefore, set them equal to x+1 = 2x-10. Solve for x by subtracting 2x on both sides to get -x+1=-10. Move the 1 to the right side by subtracting 1 on both sides to get -x=-11, or x=11 equivalent. Plug in value into x+1 to get 12.

Repeat this method with the rest.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .