9. If NK = 7x-1, NM = 10x - 13, and KM = 24, find NP. ​

Step-by-step explanation:

Given

See attachment

Required

Length of NP

First, calculate the value of x

So:

Collect like terms

Solve for x

To solve for NP, we consider right triangle

Where

Using Pythagoras theorem, we have:

Collect like terms

Take square roots

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.