Question

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

Answer 1

54.6

Explanation:

Answer 2

Final answer is
`x=125.45`

Explanation:

given that AB is parallel to NP

then ratio of corresponding segments must be equal

`(MA)/(AN)=(MB)/(BP)`

`(MN-AN)/(AN)=(MB)/(BP)`

`(80.5-35)/(35)=(x)/(96.5)`

`(45.5)/(35)=(x)/(96.5)`

Cross multiply

`35x=45.5\cdot96.5`

`35x=4390.75`

`x=(4390.75)/(35)`

`x=125.45`

Hence final answer is
`x=125.45`