Answer:
12 pieces of sausage can be cut from the 8 inch sausage if each piece is 2/3 of an inch.
Step-by-step explanation:
2/3 = 0.66
8 x 0.66 = 12.12
Round down to 12.
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In an isosceles triangles the sides that are congruent form two congruent angles...you should be given one of those angle measures or the other one...if you are given one of the angle measure formed by the congruent side you know the one opposite it is the same and you know all the measures of angles in a triangle = 180 so you should be able to find them all
The reflection point P' would be (-6, 8)
Answer:
5/3
Step-by-step explanation:
There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
