////////////////////////////
2 answers:
You might be interested in
The pairs of angles that have equal measures are:
- LJP
- NJR
- MJP
- PJR
The pairs of angles that do not have equal measures are:
- MJK
- PJR
- KJR
- MJP
- KJL
- LJM
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Both MJK and PJR can be seen as (Unequal angles)
The angle MJK is ( 90 degrees), then angle PJR will be ( 48 + 46 )= 94 degrees
Both LJP and NJR can be seen as ( Equal angles)
The measure of angle LJP = 48 + 46 + 48 = 142 degrees
The measure of angle NJR = 48 + 48 + 46 = 142 degrees
KJR & MJP = Unequal
The angle KJR will now be [ 360 - (46+48+48+46+90) ]
= 82 degrees
The angle MJP will be ( 94 degrees)
Both KJL & LJM are Unequal, then
The angle KJL will be 42 degrees, then angle LJM will be ( 90 - 42 )
= 48 degrees
Read more about pairs of angles here:
#SPJ1
CHECK THE COMPLETE QUESTION BELOW:
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair
of angles into the correct catagory to show which pairs have equal measures.
MO
N
46°
42°
48°
46°
R
ZMJK and LPUR
ZLJP and ZNJR
ZKJR and ZMJP
MJP and ZPJR
ZKIL and ZUM
Equal Measures
Unequal Measures
Answer:
A. 0.16
B. 0.58
C. No
D. Dependent
Step-by-step explanation:
A.
The sampling space has 36 outcomes.
The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)
So P(A)= 6/36 = 0.16
B.
The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58
C.
Are A and B mutually exclusive events?
No since their intersection is not empty, for example (3,1) belongs to both A and B
D.
In order for A and B to be independent, it must happen that
P(A∩B)=P(A)P(B)
A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36
whereas
P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72
So A and B are not independent.
