#2**+2 **

Assuming that RST is similar to MLK

Note that

RS / ST = ML / LK ....so we have that...

[4x + 8 ] / 52 = 55 / 65

[4x + 8 ] / 52 = 11/13 cross-multiply

13 [ 4x + 8 ] = 52 * 11 simplify

52x + 104 = 572 subtract 104 from both sides

52x = 468 divide both sides by 52

x = 9

Second one..if DC is parallel to SR....then triangle CDE is similar to triangle SRE

So

CE / DE = SE / RE

65 / 70 = [9x + 3 ] /42

13/14 = [ 9x + 3] / 42 cross-multiply

42 * 13 = 14(9x + 3 ] simplify

546 = 126x + 42 subtract 42 from both sides

504 = 126x divide both sides by 126

4 = x

CPhill Feb 27, 2018