Question

What is the value of x?

Enter your answer, as a decimal, in the box.

Answer 1

ANSWER

x=50.6

Step-by-step explanation

Triangle ABM and triangle NPM are similar.

Therefore the corresponding sides are in the same proportion.


`(MB)/(MP) = (MA)/(MN)`

MA=46.2-14=32.2

MP=72.6

MN=46.2

We substitute these values into the equation to obtain,


`(x)/(72.6) = (32.2)/(46.2)`

We multiply both sides by 72.6 to obtain,


`x= (32.2)/(46.2) * 72.6`



`x=50.6`