Question

What is the value of x ?enter your answer, as a decimal, in the box

Answer 1

Answer:

Final answer is $x=125.45$

Step-by-step explanation:

given that AB is parallel to NP

then ratio of corresponding segments must be equal

$\frac{MA}{AN}=\frac{MB}{BP}$

$\frac{MN-AN}{AN}=\frac{MB}{BP}$

$\frac{80.5-35}{35}=\frac{x}{96.5}$

$\frac{45.5}{35}=\frac{x}{96.5}$

Cross multiply

$35x=45.5\cdot96.5$

$35x=4390.75$

$x=\frac{4390.75}{35}$

$x=125.45$

Hence final answer is $x=125.45$