Triangle l m n is shown. angle n l m is a right angle. the length of n l is 19.1 inches and the length of l m is 14.1 inches. angle l n m is x and angle n m l is y. what is the approximate value of y − x?

The approximate value of (y − x) is

Step-by-step explanation:

step 1

Find the measure of angle NML

y=m∠NML

---> opposite side to angle y divided by the adjacent side to angle y

see the attached figure to better understand the problem

substitute the given value

step 2

Find the measure of angle LNM

x=m∠LNM

we know that

-----> by complementary angles

solve for x

step 3

Find the approximate value of y-x

we have

so

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following