Question

Solve for x. A triangle has the following sides, starting from the bottom and moving clockwise: a horizontal side, a side that rises from right to left, and a side that falls from left to right. A line segment divides the third side and the horizontal side into two segments. It is indicated that this segment that divides the sides is parallel to the second side. The top left segment of the third side is labeled "x" and the bottom right segment is labeled "x plus 4." The left segment of the horizontal side is labeled "14" and the right segment is labeled "21." x plus 4 14 21 x

Answer 1

The value of x will be given as follows:
using ratios and proportionality, the ratio of corresponding sides are equal. Thus,
(2x+4)/(x+4)=35/21
solving for x we get:
21(2x+4)=35(x+4)
42x+84=35x+140
7x=56
x=56/7=8
Answer: x=7