Find the constant of variation for the relation and use it to write and solve the equation. if y varies directly as x and as the square of z, and y=25/9 when x=5 and z=1, find y when x=1 and z=4

When x = 1 and z = 4,  

Step-by-step explanation:

The variation described in the problem can be written using a constant of proportionality "b" as:

The other piece of information is that when x = 5 and z = 1, then y gives 25/9. So we use this info to find the constant "b":

Knowing this constant, we can find the value of y when x=1 and z=4 as:

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.