16
GCF=16
GCF=16
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2 answers:
Step-by-step explanation:
Since the two triangles are congruent this means that corresponding angles are congruent so
Angle X= Angle M
Angle Y equal Angle N
Angle Z equal Angle L.
That means that Angle M is 33 degrees.
Angle Y is 124 degrees.
We can find Angle Z by doing triangle interior theorem.
So Angle Z equal 23.
Congruent triangles also have corresponding sides that are equal so that means
XY=MN
YZ=NL
XZ= ML
So that means XY=8
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are possible combinations .
<u>Step-by-step explanation:</u>
Here we have , A laptop lock has a 4 digit combination. Each character can be any digit between 0-7. The only restriction is that all 4 characters cannot be the same (e.g. 0000, 1111, 2222,... etc.). We need to find How many combinations are possible .Let's find out:
The first digit has 8 choices (can be all of them), the second digit also has 8 choices. The third and fourth digits also have 8 choices.
Multiply them together you get:
⇒
⇒ possible combinations.
But since all 4 characters cannot be the same, we subtract 8 from 4096 (there are 8 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, and 0000) and we get :
⇒
⇒
Therefore, are possible combinations .