How many like terms are in the expression? 14x-14y+7-x+z+2x

The number of like terms in the given expression are:

                                           3

                ( 14x , -x and 2x)

Like terms--

The like terms are the terms which have the same variables with the same power.The coefficients of such terms may vary.

The expression is given by:

        14x-14y+7-x+z+2x

There are total 6 terms in given expression.

The number of terms with variable x are: 3  i.e.   14x , -x and 2x

The number of terms with the variable y is: 1 i.e. -14y

The number of terms with variable z is: 1 i.e.  z

and the number of constant term is: 1 i.e. 7

Hence, the number of like terms are: 3

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).