Number of male students with X hair + Number of female students with X hair = Total number of students with X hair
(where X is any hair color)
Number of Y students with brown hair + Number of Y students with blonde hair + Number of Y students with hair of another color = Total number of Y students with any hair color
(where Y is either male or female)
Total number of male students + Total number of female students = Total number of students with brown hair + Total number of students with blonde hair + Total number of students with hair of another color = Total number of students overall
There are 39 total students. 21 of them are female. So 39 - 21 = 18 of them are male.
13 students had brown hair. 11 had blonde hair. So 39 - 13 - 11 = 15 had hair of another color.
13 students had brown hair. 5 male students had brown hair. So 13 - 5 = 8 female students had brown hair.
11 students had blonde hair. 4 female students had blonde hair. So 11 - 4 = 7 male students had blonde hair.
18 students are male. 5 had brown hair and 7 had blonde hair. So 18 - 5 - 7 = 6 of them had hair of another color.
21 students are female. 8 had brown hair and 4 had blonde hair. So 21 - 8 - 4 = 9 of them had hair of another color.
Put all this into the table (see attached).
For this case we must indicate an expression equivalent to:
![x ^ {- \frac {5} {3}}](https://tex.z-dn.net/?f=x%20%5E%20%7B-%20%5Cfrac%20%7B5%7D%20%7B3%7D%7D)
By definition of power properties we have to:
![a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}](https://tex.z-dn.net/?f=a%20%5E%20%7B-%201%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7Ba%20%5E%201%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7Ba%7D)
Then, we can rewrite the expression as:
![\frac {1} {x ^ {\frac {5} {3}}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7Bx%20%5E%20%7B%5Cfrac%20%7B5%7D%20%7B3%7D%7D%7D)
We also have that by definition of properties of powers it is fulfilled that:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, the expression is like:
![\frac {1} {\sqrt [3] {x ^ 5}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7B%5Csqrt%20%5B3%5D%20%7Bx%20%5E%205%7D%7D)
ANswer:
Option B
<span>The incenter of a triangle is located at the point of intersection of the triangle's angle bisectors. So the punctual answer is Angle Bisectors. I hope this can help you greatly</span>
Answer:
true
Step-by-step explanation: