Aparallelogram has sides of lengths 30 cm and 70 cm and one angle of measure 65 degrees. approximate the length of each diagonal to the nearest centimeter. use the law of cosines.

diagonal x= 63.5cm

diagonal y= 87cm

Step-by-step explanation:

Please see the attached file.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: