Given △qrs ~ △xyz, what is the value of tan(q)?

tan(Q) = 0.75

Step-by-step explanation:

It is given that triangle XYZ and ΔQRS qre similar.

Sides XY = 15, XZ = 12 and YZ = 9.

We have to calculate tan (Q).

SInce ΔQRS ~ ΔXYZ

Therefore ratio of the corresponding sides of the triangles will be equal.

QR/XY = RS/YZ = QS/XZ

QR/15 = RS/9 = QS/12

Since tan (Q) = RS/QS

and RS/9 = QS/12

RS/QS = 9/12 = 3/4

tan(Q) = 3/4 = 0.75

Answer is tan(Q) = 0.75

Step-by-step explanation:

We have been given two similar triangles. We are asked to find the value of tan(Q).

Since △QRS ~ △XYZ, so corresponding sides of both triangles will be proportional and corresponding angles are equal.

We can see that side XZ corresponds to side QS and side YZ corresponds to side RS.

Substituting values:

Simply the fraction:

Therefore, the value of tan(Q) is .

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0