Answer:
x = 5.006 (approximate answer)
Step-by-step explanation:
According to the instructions, the two triangles are similar. Thus, we can write and solve an equation of ratios:
2x - 10 39
-------------- = ------------
78 169
x - 5 1
This reduces to ------------ = -----------
1 169
or (after cross-multiplication) 169x - 845 = 1
Solve for x: Add 845 to both sides, which results in 169x = 846
Dividing both sides by 169 results in x = 5.006 (approximate answer)
