Xis greater than y by 12 and z is less than y by 8. if the ratio of x: z is 9: 4. what is the ratio of value of z? a)12 b) 16 c) 20 d) 36 e) none of these

B) 16 . . . . the value of Z

Step-by-step explanation:

The problem statement tells us that ...

... x = y +12

... z = y - 8

Then x - z = (y +12) -(y -8) = 20.

In ratio units, we have ...

... x:z = 9:4

The difference of these in ratio units is 9-4 = 5, so each ratio unit must stand for 20/5 = 4 units of X, Y, or Z. Hence ...

... Z = 4·4

... Z = 16

Check by finding the other values

... X = 9·4 = 36

... Y = X -12 = 24 = Z +8 . . . . yes

b

step-by-step explanation:

if a was wrong then it has to be b it cant be c either because not all the y intercepts are the same!

ok now , i would like brainlest plz

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.