Triangles must add up to 180° add your given numbers 36 and 92 then subtract that from 180 that should give you the missing angle C
Answer: The inequalities are:
X +y < or = 200
8.50x + 12.00y > or= 1000
Number of tickets sold at the door = 48
Step-by-step explanation: see attachment.
On the presumption that it is a cubic die, on average you will not gain nor lose any money. Out of the six faces, 1/3 of them are a 5 or a 2. So 1/3 of the time, you will gain 3$, but will lose 1$ from the initial payment. 1/3 of 3$ is 1$, so on average, you will gain 1$, while losing 1$.
Another way of looking at it is to take the possible out comes, and add the gains/loses, and you will come up with 0$.
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Related Questions (More Answers Below)
The vertices are the intersections between the lines.
1) line x + y = 5 and y = 3:
y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2
=> vertix = (2,3)
2) line x + y = 5 and y = 0
=> y = 0 => x + 0 = 5 => x = 5
=> vertix = (5,0)
3) line x + y = 5 and x = 0
=> 0 + y = 5 => y = 5
=> (0,5) ------> this is not a vertix because it is above the line y = 3
4) line y = 3 and x-axis
=> vertix = (0,3)
5) x-axis and y-axis => origin => vertix = (0,0)
So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)
Answer: That is the first option:(<span>0, 0), (0, 3), (2, 3), (5, 0)</span>
Answer:
-7
Step-by-step explanation:
substitute the given values into the expression
xy-<em>x</em>
<em>(</em>-2 times 3<em>)</em>-1
-6 - 1 = -7