Alrighty
remember

and
![x^\frac{m}{n}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
and
![(x^m)^n=x^{mn} and [tex]x^0=1](https://tex.z-dn.net/?f=%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%20and%20%5Btex%5Dx%5E0%3D1)
for all real numbers x
and

b.

=

c.
x^0=1
so
that (x^-3y)^0=1
because exponents first in pemdas
so we are left with
x^2y^-1
Answer:
A and B are not independent events because P(A|B)≠P(A)
is the correct answer.
Step-by-step explanation:
If A and B are independent then we must have
P(AB) = P(A) P(B) and also
P(A/B) = P(A)
We are given that
A and B are two events.
Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .
P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3
i.e. P(A/B) is not equal P(A)
Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)
Hence A and B are not independent.
Greatest Common Factor of 42 and 84. Greatest common factor (GCF) of 42 and 84 is 42.
The total length of the segment AD will be 52 units.
The complete question is given below:-
The figure shows segment A D with two points B and C on it in order from left to right. The length of segment A B is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units. What will be the total length of the segment AD?
<h3>What is the length?</h3>
The measure of the size of any object or the distance between the two endpoints will be termed the length. In the question the total length is AD.
Given that:-
- Segment AD with two points B and C on it in order from left to right.
- The length of segment AB is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units.
The total length will be calculated as:-
The total length will be equal to the sum of all the segments of line AD. It will be the sum of AB, BC and CD.
AD = AB + BC + CD
AD = 22 + 19 + 11
AD = 52 units
Therefore the total length of the segment AD will be 52 units.
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Answer:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Step-by-step explanation:
When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.
When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.
Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:
<D corresponds to <S
<R corresponds to <L
<M corresponds to <T
<F corresponds to <O
For the sides, we have:
DR corresponds to SL
RM corresponds to LT
MF corresponds to TO
FD corresponds to OS.
We can select any two out of these sets of corresponding angles and sides as our answer. Thus:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT