Question

Please please help, need this done by 1:45!!!!

Answer Opt.
A. AM/NC=AN/MB
B. MB/AM=NC/AN
C. AM/MN=MB/BC
D. AM/MN=AN/MN

Answer 1

option B. MB/AM=NC/AN

Explanation:

we know that

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally

In this problem

MN is parallel to BC

MN intersect AC and divide into AN and NC

MN intersect AB and divide into AM and MB

so

Applying the Triangle Proportionality Theorem

`(AN)/(NC)=(AM)/(MB)`

Rewrite

`(MB)/(AM)=(NC)/(AN)`