Solve for X. Help, I cannot figure this out!

Question

asked Dec 5, 2020 152k views

1 Answer

Steven Johnston · Answer 1 · 2020-12-09T09:56:24+0000

Answer:

b.

Explanation:

From the diagram shown,

There are 3 parallel lines cut by 2 non-parallel transversals.

According to the triangular proportionality theorem extension to parallel lines cut by transversals,

The ratio of lengths of transversals are proportional to each other.

Therefore,

$(3x)/(4x)=(3x+7)/(5x-8)\\(3)/(4)=(3x+7)/(5x-8)\\3(5x-8)=4(3x+7)\\15x-24=12x+28\\15x-12x=28+24\\3x=52\\x=(52)/(3)$

Hence, the correct option is b.