100pts giving brainliest (:
find x and y, given that line kl and line mn are parallel

x = 21.2

y = 6.470588235

Step-by-step explanation:

We can use similar triangles and proportions to solve.  

KJ              KL

=

JM              MN

Substituting what we know

5          y

=

5+12          22

Using cross products

5*22 = (12+5)y

5*22 = (17)y

Divide each side by 17

5*22/17  =17y/17

110/17 = y

6.470588235 =y

KJ              JL

=

JM              JN

Substituting what we know

5          8

=

5+12      8+x-2

Using cross products

5 *(8+x-2) = 8(5+12)

5*(6+x) =8*17

Distribute

30+5x = 136

Subtract 30

30-30 +5x = 136-50

5x = 106

Divide by 5

5x/5 = 106/5

x =21.2

(section d)