If DEF measures 32 inches, EF = 2x - 10 and DE = 4x find x and the measure of each segment.

Add EF and DE together to equal 32

2x-10 + 4x = 32

Combine like terms;

6x-10 = 32

Add 10 to each side:

6x = 42

Divide both sides by 6:

x = 42/6

X = 7

EF = 2x-10 = 2 (7) - 10 = 14-10 = 4

DE = 4x = 4 (7) = 28