Answer:
Final answer is [tex]x=125.45[/tex]
Step-by-step explanation:
given that AB is parallel to NP
then ratio of corresponding segments must be equal
[tex]\frac{MA}{AN}=\frac{MB}{BP}[/tex]
[tex]\frac{MN-AN}{AN}=\frac{MB}{BP}[/tex]
[tex]\frac{80.5-35}{35}=\frac{x}{96.5}[/tex]
[tex]\frac{45.5}{35}=\frac{x}{96.5}[/tex]
Cross multiply
[tex]35x=45.5\cdot96.5[/tex]
[tex]35x=4390.75[/tex]
[tex]x=\frac{4390.75}{35}[/tex]
[tex]x=125.45[/tex]
Hence final answer is [tex]x=125.45[/tex]
