I'm on a deadline! !

find the value of x to the nearest tenth.

a. 15.5
b. 60.0
c. 39.0
d. 31.0

This is by similar triangles:

You can actually pull out two similar triangles from the figure. One large, and the other small, but they are both similar.
 
The large triangle has sides:     62, 78, 98

The smaller triangle inside has sides: 2x, 39, 49

By similar ratio:

(2x/62) = (39/78)

2x/62 = 1/2

4x = 62

x = 62/4

x = 31/2

x = 15.5

Option A.