If y is directly proportional to Vx, and y = 25 when x = 3, find x when
y = 100

9514 1404 393

  x = 48

Step-by-step explanation:

It looks like your proportion is ...

  y = k√x

Then k can be found as ...

  k = y/√x = 25/√3

__

For y = 100, the value of x can be found from ...

  100 = (25/√3)√x

  4√3 = √x . . . . . . . . . . multiply by √3/25

  48 = x . . . . . . . . . . . . . square both sides

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

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.