Question

Help? 100pts giving brainliest (: Find x and y, given that line KL and line MN are parallel

Answer 1

Answer: x= 21.20 and y =6.47 (wondering if the numbers written in were given? The lengths seem weird. For the top triangle, the drawing shows one length as 8, the other as 5, but clearly the "5" length is longer than the "8" length shown in the picture?)

Step-by-step explanation:

5/y = 17/22; now cross multiply:

17y = 5(22); 17y = 110; y = 6.47

Now for x:

8/6.47 = (8 + x-2)/22;

8/6.47= (6 + x)/22; now cross multiply:

6.47(6 + x) = 8(22)

38.82 + 6.47x = 176

6.47x = 137.18; divide by 6.47:

x = 21.20

Answer 2

Answer:

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