Answer:
Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
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(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
Answer:
Statement: angle QAU congruent to angle KAC
Reasoning: vert. angle congruenct thm
S: angle U congruent to angle C
R: Alt. Int. Angle Thm
S: Triangle QUA similar to Triangle KCA
R: AA Sim. Thm
Step-by-step explanation:
Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.
Answer:

Step-by-step explanation:
Given

Required
Gaps: -2( )-2( )=8
<em>Fill in in the gaps</em>
The are numerous solutions to this.
One of them is:
Assume y = 0.
So, we have:



Divide through by -2


Fill in the gaps with these values of x and y respectively:
Hence; one solution is: 
Answer:
x=16.5
Step-by-step explanation:
12.7 + 3.8 = x - 3.8 + 3.8
16.5 = x