If x is a factor of y and y is a factor z, then x is a factor of z. true or false

True; this would indeed be a factor of .

Step-by-step explanation:

" is a factor of " means that there is a whole number such that .

Likewise, is a factor of if and only if there is a whole number such that .

This would be a factor of if there is some whole number such that .

The first equality implies that may be substituted with .

Substitute the in the second equality with to obtain:

.

Rearrange to obtain:

.

The product of two whole numbers is still a whole number. Since and are both whole numbers, would also be a whole number.

Thus, if , then , while would be a whole number.

Therefore, this would indeed be a factor of .

well what you have to do is divide 84 by 6 so theanswer

step-by-step explanation:

84 divided by 6 = 14

and that lightbulb changing party must be freaking lit!

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).