What is the value of x to the nearest tenth? 12.0 7.2 4.8 9.2

Line x is the mid point of both lines
 so the triangle becomes base = 19.2/2 = 9.6
hypotenuse = 24/2 = 12

using Pythagorean theorem:

x^2 = 12^2 - 9.6^
x^2 = 144 - 92.16
x^2 = 51.84

x = sqrt(51.84) = 7.2