Given:
Circle C and circle R are similar.
The length of arc AB is 
The radius of circle C (AC) = 4 unit
The radius of circle R (QR) =6 unit
To find the length of arc QP.
Formula
The relation between s, r and
is

where,
s be the length of the arc
r be the radius
be the angle.
Now,
For circle C
Taking r = 4
According to the problem,

or,
[ eliminating
from both side]
or, 
or, 
Again,
For circle R
Taking, r = 6 and
we get,
The length of arc QP is

or, 
Hence,
The length of QP is
. Option C.
I think 14 is B (idrk) and 15 is definitely C
Answer:
z=1.5
Step-by-step explanation:
Simplifying
6z + 3 + -4z = 9
Reorder the terms:
3 + 6z + -4z = 9
Combine like terms: 6z + -4z = 2z
3 + 2z = 9
Solving
3 + 2z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2z = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 2z = 9 + -3
2z = 9 + -3
Combine like terms: 9 + -3 = 6
2z = 6
Divide each side by '2'.
z = 3
Simplifying
z = 3
Answer:
The percent change in Nancy height is 10%
Step-by-step explanation:
Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.
We have to find the percent change in her height.
Percentage change is given by the ratio of the difference in old value and new value to the old value times 100
Mathematically written as

For the given data,
Old value = 60 inches
New value = 66 inches
Thus, the Percentage change is given as,

Simlify, we have,

Thus, The percent change in her height is 10%