The probability of rolling a 5 and rolling an odd number on a die is independent; rolling a 5 does not influence the probability of rolling an odd number the next time.
King or Jack is mutually exclusive; they cannot both happen at the same time.
Club or Queen is not mutually exclusive; they can happen at the same time.
King or Ace is mutually exclusive; they cannot both happen at the same time.
Answer:
Step-by-step explanation:
If u got two negative number such as (-6)+(-7) your answer will be positive 13.
If u got one negative number and one positive number like (-10)-(5) the answer will be negative like -5
Given:
The system of equations is


To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,


Taking all the terms on the left side, the given equations can be rewritten as


The system of equations
and
have infinitely many solutions if

We have,


Now,



On cross multiplication, we get


Therefore, the missing value is -10.
Answer:
This is proved by ASA congruent rule.
Step-by-step explanation:
Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ
we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.
In ΔAPN and ΔAQL
∠PNA=∠ALQ (∵alternate angles)
AN=AL (∵diagonals of parallelogram bisect each other)
∠PAN=∠LAQ (∵vertically opposite angles)
∴ By ASA rule ΔAPN ≅ ΔAQL
Hence, by CPCT i.e Corresponding parts of congruent triangles PA=AQ
Hence, A is equidistant from LM and KN.
Im pretty sure it’s C. 9 times longer